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An auction is usually a process of
buying and selling The ''Property Brothers'' franchise is a Canadian media franchise that stars Canadian twins Jonathan and Drew Scott and centers around the selling, purchasing, and renovation of real estate property. The shows also often guest star their olde ...
goods In economics, goods are items that satisfy human wants and provide utility, for example, to a consumer making a purchase of a satisfying product. A common distinction is made between goods which are transferable, and services, which are not tran ...
or
services Service may refer to: Activities * Administrative service, a required part of the workload of university faculty * Civil service, the body of employees of a government * Community service, volunteer service for the benefit of a community or a p ...
by offering them up for bids, taking bids, and then selling the item to the highest bidder or buying the item from the lowest bidder. Some exceptions to this definition exist and are described in the section about different
types Type may refer to: Science and technology Computing * Typing, producing text via a keyboard, typewriter, etc. * Data type, collection of values used for computations. * File type * TYPE (DOS command), a command to display contents of a file. * Typ ...
. The branch of
economic theory Economics () is the social science that studies the production, distribution, and consumption of goods and services. Economics focuses on the behaviour and interactions of economic agents and how economies work. Microeconomics analyzes ...
dealing with auction types and participants' behavior in auctions is called
auction theory Auction theory is an applied branch of economics which deals with how bidders act in auction markets and researches how the features of auction markets Incentivisation, incentivise predictable outcomes. Auction theory is a tool used to inform the ...
. The open ascending price auction is arguably the most common form of auction and has been used throughout history. Participants bid openly against one another, with each subsequent bid being higher than the previous bid. An auctioneer may announce prices, while bidders submit bids vocally or electronically. Auctions are applied for trade in diverse
contexts ''Contexts'': ''Understanding People in their Social Worlds'' is a quarterly peer-reviewed academic journal and an official publication of the American Sociological Association. It is designed to be a more accessible source of sociological ideas ...
. These contexts include
antiques An antique ( la, antiquus; 'old', 'ancient') is an item perceived as having value because of its aesthetic or historical significance, and often defined as at least 100 years old (or some other limit), although the term is often used loosely ...
,
paintings Painting is the practice of applying paint, pigment, color or other medium to a solid surface (called the "matrix" or "support"). The medium is commonly applied to the base with a brush, but other implements, such as knives, sponges, and ai ...
, rare
collectible A collectable (collectible or collector's item) is any object regarded as being of value or interest to a collector. Collectable items are not necessarily monetarily valuable or uncommon. There are numerous types of collectables and terms t ...
s, expensive
wines Wine is an alcoholic drink typically made from fermented grapes. Yeast consumes the sugar in the grapes and converts it to ethanol and carbon dioxide, releasing heat in the process. Different varieties of grapes and strains of yeasts are m ...
,
commodities In economics, a commodity is an economic good, usually a resource, that has full or substantial fungibility: that is, the market treats instances of the good as equivalent or nearly so with no regard to who produced them. The price of a comm ...
,
livestock Livestock are the domesticated animals raised in an agricultural setting to provide labor and produce diversified products for consumption such as meat, eggs, milk, fur, leather, and wool. The term is sometimes used to refer solely to animals ...
,
radio spectrum The radio spectrum is the part of the electromagnetic spectrum with frequencies from 0  Hz to 3,000 GHz (3  THz). Electromagnetic waves in this frequency range, called radio waves, are widely used in modern technology, particula ...
,
used car A used car, a pre-owned vehicle, or a secondhand car, is a vehicle that has previously had one or more retail owners. Used cars are sold through a variety of outlets, including franchise and independent car dealers, rental car companies, buy ...
s,
real estate Real estate is property consisting of land and the buildings on it, along with its natural resources such as crops, minerals or water; immovable property of this nature; an interest vested in this (also) an item of real property, (more general ...
,
online advertising Online advertising, also known as online marketing, Internet advertising, digital advertising or web advertising, is a form of marketing and advertising which uses the Internet to promote products and services to audiences and platform users. ...
,
vacation A vacation (American English) or holiday (British English) is either a leave of absence from a regular job or an instance of leisure travel away from home. People often take a vacation during specific holiday observances or for specific festi ...
packages,
emission trading Emissions trading is a market-based approach to controlling pollution by providing economic incentives for reducing the emissions of pollutants. The concept is also known as cap and trade (CAT) or emissions trading scheme (ETS). Carbon emission t ...
, and many more.


Etymology

The word "auction" is derived from the participle of the Latin ''word'' '' augeō'', ''auctus'' ("I increase"). Krishna, 2002: p2


History


Classical antiquity

Auctions have been recorded as early as 500 BC. According to
Herodotus Herodotus ( ; grc, , }; BC) was an ancient Greek historian and geographer from the Greek city of Halicarnassus, part of the Persian Empire (now Bodrum, Turkey) and a later citizen of Thurii in modern Calabria ( Italy). He is known f ...
, in Babylon, auctions of women for marriage were held annually. The auctions began with the woman the auctioneer considered to be the most beautiful and progressed to the least beautiful. It was considered illegal to allow a daughter to be sold outside of the auction method. Shubik, 2004: p214 Attractive maidens were offered in a
forward auction Forward is a relative direction, the opposite of backward. Forward may also refer to: People * Forward (surname) Sports * Forward (association football) * Forward (basketball), including: ** Point forward ** Power forward (basketball) ** Sm ...
to determine the price to be paid by a swain, while unattractive maidens required a
reverse auction A reverse auction (also known as buyer-determined auction or procurement auction) is a type of auction in which the traditional roles of buyer and seller are reversed. Thus, there is one buyer and many potential sellers. In an ordinary auction al ...
to determine the price to be paid to a swain. Auctions took place in
Ancient Greece Ancient Greece ( el, Ἑλλάς, Hellás) was a northeastern Mediterranean civilization, existing from the Greek Dark Ages of the 12th–9th centuries BC to the end of classical antiquity ( AD 600), that comprised a loose collection of cult ...
, other Hellenistic societies, and also in
Rome , established_title = Founded , established_date = 753 BC , founder = King Romulus (legendary) , image_map = Map of comune of Rome (metropolitan city of Capital Rome, region Lazio, Italy).svg , map_caption ...
. During the
Roman Empire The Roman Empire ( la, Imperium Romanum ; grc-gre, Βασιλεία τῶν Ῥωμαίων, Basileía tôn Rhōmaíōn) was the post-Republican period of ancient Rome. As a polity, it included large territorial holdings around the Mediterr ...
, after a military victory, Roman soldiers would often drive a spear into the ground around which the spoils of war were left, to be auctioned off. Slaves, often captured as the "spoils of war", were auctioned in the Forum under the sign of the spear, with the proceeds of sale going toward the war effort. The Romans also used auctions to
liquidate Liquidation is the process in accounting by which a company is brought to an end in Canada, United Kingdom, United States, Ireland, Australia Australia, officially the Commonwealth of Australia, is a Sovereign state, sovereign coun ...
the assets of debtors whose property had been confiscated. Shubik, 2004: p215 For example,
Marcus Aurelius Marcus Aurelius Antoninus (Latin: áːɾkus̠ auɾέːli.us̠ antɔ́ːni.us̠ English: ; 26 April 121 – 17 March 180) was Roman emperor from 161 to 180 AD and a Stoic philosopher. He was the last of the rulers known as the Five Good ...
sold household furniture to pay off debts, the sales lasting for months. One of the most significant historical auctions occurred in 193 AD when the entire Roman Empire was put on the auction block by the
Praetorian Guard The Praetorian Guard (Latin: ''cohortēs praetōriae'') was a unit of the Imperial Roman army that served as personal bodyguards and intelligence agents for the Roman emperors. During the Roman Republic, the Praetorian Guard were an escort fo ...
. On 28 March 193, the Praetorian Guard first killed emperor
Pertinax Publius Helvius Pertinax (; 1 August 126 – 28 March 193) was Roman emperor for the first three months of 193. He succeeded Commodus to become the first emperor during the tumultuous Year of the Five Emperors. Born the son of a freed slave ...
, then offered the empire to the highest bidder.
Didius Julianus Marcus Didius Julianus (; 29 January 133 or 137 – 2 June 193) was Roman emperor for nine weeks from March to June 193, during the Year of the Five Emperors. Julianus had a promising political career, governing several provinces, including Dal ...
won the auction for the price of 6,250
drachmas The drachma ( el, δραχμή , ; pl. ''drachmae'' or ''drachmas'') was the currency used in Greece during several periods in its history: # An ancient Greek currency unit issued by many Greek city states during a period of ten centuries, fro ...
per guard, an act that initiated a brief civil war. Didius was then
beheaded Decapitation or beheading is the total separation of the head from the body. Such an injury is invariably fatal to humans and most other animals, since it deprives the brain of oxygenated blood, while all other organs are deprived of the ...
two months later when
Septimius Severus Lucius Septimius Severus (; 11 April 145 – 4 February 211) was Roman emperor from 193 to 211. He was born in Leptis Magna (present-day Al-Khums, Libya) in the Roman province of Africa (Roman province), Africa. As a young man he advanced thro ...
conquered Rome. From the end of the Roman Empire to the 18th century, auctions lost favor in Europe, while they had never been widespread in Asia. In China, the personal belongings of deceased Buddhist monks were sold at auction as early as seventh century AD.


Modern revival

The first mention of "auction", according to the
Oxford English Dictionary The ''Oxford English Dictionary'' (''OED'') is the first and foundational historical dictionary of the English language, published by Oxford University Press (OUP). It traces the historical development of the English language, providing a com ...
, appeared in 1595. In some parts of England during the 17th and 18th centuries, auctions by candle began to be used for the sale of goods and leaseholds.R.W. Patten. "Tatworth Candle Auction." ''Folklore'' 81, No. 2 (Summer 1970), 132-135 In a candle auction, the end of the auction was signaled by the expiration of a candle flame, which was intended to ensure that no one could know exactly when the auction would end and make a last-second bid. Sometimes, other unpredictable events, such as a
footrace Running is a method of terrestrial locomotion allowing humans and other animals to move rapidly on foot. Running is a type of gait characterized by an aerial phase in which all feet are above the ground (though there are exceptions). This is ...
, were used instead of the expiration of a candle. This type of auction was first mentioned in 1641 in the records of the House of Lords.William S. Walsh ''A Handy Book Of Curious Information Comprising Strange Happenings in the Life of Men and Animals, Odd Statistics, Extraordinary Phenomena and Out of the Way Facts Concerning the Wonderlands of the Earth. Philadelphia: J.B. Lippincott Co., 1913. 63-64. The practice rapidly became popular, and in 1660
Samuel Pepys Samuel Pepys (; 23 February 1633 – 26 May 1703) was an English diarist and naval administrator. He served as administrator of the Royal Navy and Member of Parliament and is most famous for the diary he kept for a decade. Pepys had no mariti ...
' diary recorded two occasions when the
Admiralty Admiralty most often refers to: *Admiralty, Hong Kong *Admiralty (United Kingdom), military department in command of the Royal Navy from 1707 to 1964 *The rank of admiral *Admiralty law Admiralty can also refer to: Buildings * Admiralty, Traf ...
sold surplus ships "by an inch of candle". Pepys also relates a hint from a highly successful bidder who had observed that, just before expiring, a candle-wick always flares up slightly: on seeing this, he would shout his final – and winning – bid. The ''
London Gazette London is the capital and List of urban areas in the United Kingdom, largest city of England and the United Kingdom, with a population of just under 9 million. It stands on the River Thames in south-east England at the head of a estuary dow ...
'' began reporting on the auctioning of artwork in the
coffeehouse A coffeehouse, coffee shop, or café is an establishment that primarily serves coffee of various types, notably espresso, latte, and cappuccino. Some coffeehouses may serve cold drinks, such as iced coffee and iced tea, as well as other non-ca ...
s and
tavern A tavern is a place of business where people gather to drink alcoholic beverages and be served food such as different types of roast meats and cheese, and (mostly historically) where travelers would receive lodging. An inn is a tavern that h ...
s of London in the late 17th century. The first known
auction house An auction is usually a process of buying and selling goods or services by offering them up for bids, taking bids, and then selling the item to the highest bidder or buying the item from the lowest bidder. Some exceptions to this definition ex ...
in the world was the
Stockholm Auction House Stockholms Auktionsverk (Swedish for "Stockholm's Auction House"), founded in 1674 in Sweden, is the world's oldest auction house. High quality items are sold on auctions several times each year at the Nybrogatan showrooms in central Stockholm. ...
,
Sweden Sweden, formally the Kingdom of Sweden,The United Nations Group of Experts on Geographical Names states that the country's formal name is the Kingdom of SwedenUNGEGN World Geographical Names, Sweden./ref> is a Nordic country located on ...
(''Stockholms Auktionsverk''), founded by Baron Claes Rålamb in 1674.
Sotheby's Sotheby's () is a British-founded American multinational corporation with headquarters in New York City. It is one of the world's largest brokers of fine and decorative art, jewellery, and collectibles. It has 80 locations in 40 countries, and ...
, currently the world's second-largest auction house, was founded in
London London is the capital and largest city of England and the United Kingdom, with a population of just under 9 million. It stands on the River Thames in south-east England at the head of a estuary down to the North Sea, and has been a majo ...
on 11 March 1744, when Samuel Baker presided over the disposal of "several hundred scarce and valuable" books from the library of an acquaintance.
Christie's Christie's is a British auction house founded in 1766 by James Christie (auctioneer), James Christie. Its main premises are on King Street, St James's in London, at Rockefeller Center in New York City and at Alexandra House in Hong Kong. It is ...
, now the world's largest auction house, was founded by James Christie in 1766 in London and published its first auction catalog that year, although newspaper advertisements of Christie's sales dating from 1759 have been found. Other early auction houses that are still in operation include
Göteborgs Auktionsverk Göteborgs Auktionsverk is an auction house founded in 1681, when the magistrate in Gothenburg sought permission from the government to conduct the auction business. It is the world's second-oldest auction house in operation after the Stockhol ...
(1681),
Dorotheum The Dorotheum () is one of the world's oldest auction houses and is the largest auction house of art items in Continental Europe. Established by Emperor Joseph I in 1707, it has its headquarters in Vienna on the Dorotheergasse and branches in ...
(1707), Uppsala auktionskammare (1731), Mallams (1788),
Bonhams Bonhams is a privately owned international auction house and one of the world's oldest and largest auctioneers of fine art and antiques. It was formed by the merger in November 2001 of Bonhams & Brooks and Phillips Son & Neale. This brought to ...
(1793),
Phillips de Pury & Company Phillips, formerly known as Phillips the Auctioneers (briefly as Phillips de Pury), is a British auction house. It was founded in London in 1796, and has head offices in London and in New York City. It was owned by the Mercury Group, a Russian ...
(1796),
Freeman's Freeman's, formerly known as Samuel T. Freeman & Co., is an auction house in Philadelphia, Pennsylvania, United States. It was founded in 1805 by Tristram B. Freeman, a print seller who came to America from London. History After an order from ...
(1805) and
Lyon & Turnbull Lyon & Turnbull is a privately owned international auction house based in Scotland. It is Scotland's oldest auction house founded in 1826. It is the largest independent auction house in the United Kingdom outside of London and one of the fast ...
(1826). By the end of the 18th century, auctions of art works were commonly held in
tavern A tavern is a place of business where people gather to drink alcoholic beverages and be served food such as different types of roast meats and cheese, and (mostly historically) where travelers would receive lodging. An inn is a tavern that h ...
s and
coffeehouses A coffeehouse, coffee shop, or café is an establishment that primarily serves coffee of various types, notably espresso, latte, and cappuccino. Some coffeehouses may serve cold drinks, such as iced coffee and iced tea, as well as other non-caf ...
. These auctions were held daily, and
auction catalog An auction catalog (US spelling) or auction catalogue (British spelling) is inventory of listing of items to be sold at an auction. It is made available some time before the auction date. Auction catalogs for rare and expensive items, such as art, ...
s were printed to announce available items. In some cases, these catalogs were elaborate works of art themselves, containing considerable detail about the items being auctioned. At the time, Christie's established a reputation as a leading auction house, taking advantage of London's status as the major centre of the international art trade after the
French Revolution The French Revolution ( ) was a period of radical political and societal change in France that began with the Estates General of 1789 and ended with the formation of the French Consulate in November 1799. Many of its ideas are considere ...
.
The Great Slave Auction The Great Slave Auction (also called the Weeping Time) was an auction of enslaved Africans held at Ten Broeck Race Course, near Savannah, Georgia, United States, on March 2 and 3, 1859. Slaveholder and absentee plantation owner Pierce Mease ...
took place in 1859 and is recorded as the largest single sale of
enslaved people Slavery and enslavement are both the state and the condition of being a slave—someone forbidden to quit one's service for an enslaver, and who is treated by the enslaver as property. Slavery typically involves slaves being made to perf ...
in U.S. history — with 436 men, women and children being sold. During the
American Civil War The American Civil War (April 12, 1861 – May 26, 1865; also known by other names) was a civil war in the United States. It was fought between the Union ("the North") and the Confederacy ("the South"), the latter formed by states th ...
, goods seized by armies were sold at auction by the
Colonel Colonel (abbreviated as Col., Col or COL) is a senior military officer rank used in many countries. It is also used in some police forces and paramilitary organizations. In the 17th, 18th and 19th centuries, a colonel was typically in charge of ...
of the division. Thus, some of today's auctioneers in the U.S. carry the unofficial title of "colonel".
Tobacco Tobacco is the common name of several plants in the genus '' Nicotiana'' of the family Solanaceae, and the general term for any product prepared from the cured leaves of these plants. More than 70 species of tobacco are known, but the ...
auctioneers in the
southern United States The Southern United States (sometimes Dixie, also referred to as the Southern States, the American South, the Southland, or simply the South) is a geographic and cultural region of the United States of America. It is between the Atlantic Ocean ...
in the late 19th century had a style that mixed traditions of 17th century England with chants of
slaves Slavery and enslavement are both the state and the condition of being a slave—someone forbidden to quit one's service for an enslaver, and who is treated by the enslaver as property. Slavery typically involves slaves being made to perf ...
from Africa.


Rise of the internet

The development of the internet has led to a significant rise in the use of auctions, as auctioneers can solicit bids via the internet from a wide range of buyers in a much larger variety of commodities than was previously practical. In the 1990s, the
multi-attribute auction A multi-attribute auction is a type of auction in which the bids have multiple parts. Multi-attribute auctions allow agents to sell and purchase goods and services, taking into account more attributes than just price (e.g. service time, tolerances, ...
was invented to negotiate extensive conditions of construction and electricity contracts via auction. Also during this time, OnSale.com developed the
Yankee auction A multiunit auction is an auction in which several homogeneous items are sold. The units can be sold each at the same price (a uniform price auction) or at different prices (a discriminatory price auction). Uniform price auction A uniform pric ...
as its trademark. In the early 2000s, the
Brazilian auction A Brazilian auction is a certain set of rules for a reverse auction. The buyer communicates the price she or he is willing to pay for the whole lot in advance. Then, the sellers bid on how many identical units they are willing to provide at that p ...
was invented as a new type of auction to trade gas through electronic auctions for
Linde plc Linde plc is a global multinational chemical company founded in Germany and, since 2018, domiciled in Ireland and headquartered in the United Kingdom. Linde is the world's largest industrial gas company by market share and revenue. It serves ...
in
Brazil Brazil ( pt, Brasil; ), officially the Federative Republic of Brazil (Portuguese: ), is the largest country in both South America and Latin America. At and with over 217 million people, Brazil is the world's fifth-largest country by area ...
. With the emergence of the internet,
online auction An online auction (also electronic auction, e-auction, virtual auction, or eAuction) is an auction held over the internet and accessed by internet connected devices. Similar to in-person auctions, online auctions come in a variety of types, with d ...
s have developed, with
eBay eBay Inc. ( ) is an American multinational e-commerce company based in San Jose, California, that facilitates consumer-to-consumer and business-to-consumer sales through its website. eBay was founded by Pierre Omidyar in 1995 and became a ...
being the most typical example. For example, if someone owns a rare item, they can display the item through an online auction platform. Interested parties may place bids, with the highest bidder winning the opportunity to purchase the item. Online auctions allow more people to participate and also make traditional auction theory more complex.


Economic significance

By increasing visibility of an item and therefore
demand In economics, demand is the quantity of a good that consumers are willing and able to purchase at various prices during a given time. The relationship between price and quantity demand is also called the demand curve. Demand for a specific item ...
, auctions can make an extremely rare item more likely to sell for a higher price. In 2008, the US
National Auctioneers Association The National Auctioneers Association (NAA), founded in 1949, is an advocacy group representing auctioneers, auction An auction is usually a process of buying and selling goods or services by offering them up for bids, taking bids, and then se ...
reported that the gross revenue of the auction industry for that year was approximately $268.4 billion, with the fastest growing sectors being agricultural, machinery, equipment, and residential
real estate Real estate is property consisting of land and the buildings on it, along with its natural resources such as crops, minerals or water; immovable property of this nature; an interest vested in this (also) an item of real property, (more general ...
auctions. The auctions with the largest revenue for the government are often
spectrum auction A spectrum auction is a process whereby a government uses an auction system to sell the rights to transmit signals over specific bands of the electromagnetic spectrum and to assign scarce spectrum resources. Depending on the specific auction form ...
s (typical revenue is estimated in billions of euros) and quota auctions. In 2019, Russia's crab quota was auctioned for €2 billion. Between 1999 and 2002, the British government auctioned off their gold reserves, raising approximately $3.5 billion.Gold: Does Gordon Brown's regret selling half of Britains' gold reserves 10 years ago?, The Daily Telegraph, 8 May 2009
/ref> The most expensive item to ever be sold in an auction is Leonardo da Vinci's ''
Salvator Mundi , Latin for Saviour of the World, is a subject in iconography depicting Christ with his right hand raised in blessing and his left hand holding an orb (frequently surmounted by a cross), known as a . The latter symbolizes the Earth, and the wh ...
'' in 2017 ($450.3 million). In 2018, the yearly revenues of the two biggest auction houses were $5 billion (
Christie's Christie's is a British auction house founded in 1766 by James Christie (auctioneer), James Christie. Its main premises are on King Street, St James's in London, at Rockefeller Center in New York City and at Alexandra House in Hong Kong. It is ...
) and $4 billion (
Sotheby's Sotheby's () is a British-founded American multinational corporation with headquarters in New York City. It is one of the world's largest brokers of fine and decorative art, jewellery, and collectibles. It has 80 locations in 40 countries, and ...
).


Types

Auctions come in a variety of types and categories, which are sometimes not mutually exclusive. Typification of auctions is considered to be a part of
Auction theory Auction theory is an applied branch of economics which deals with how bidders act in auction markets and researches how the features of auction markets Incentivisation, incentivise predictable outcomes. Auction theory is a tool used to inform the ...
. The economists
Paul Milgrom Paul Robert Milgrom (born April 20, 1948) is an American economist. He is the Shirley and Leonard Ely Professor of Humanities and Sciences at the Stanford University School of Humanities and Sciences, a position he has held since 1987. He is a ...
and Robert B. Wilson were awarded the 2020
Nobel Prize The Nobel Prizes ( ; sv, Nobelpriset ; no, Nobelprisen ) are five separate prizes that, according to Alfred Nobel's will of 1895, are awarded to "those who, during the preceding year, have conferred the greatest benefit to humankind." Alfr ...
for the introduction of new auction types (or formats). Auction types share features, which can be summarized into the following list.


Participants

Auctions can differ in the number and type of participants. There are two types of participants: a
buyer Procurement is the method of discovering and agreeing to terms and purchasing goods, services, or other works from an external source, often with the use of a tendering or competitive bidding process. When a government agency buys goods or serv ...
and a
seller Sales are activities related to selling or the number of goods sold in a given targeted time period. The delivery of a service for a cost is also considered a sale. The seller, or the provider of the Goods and services, goods or services, c ...
. A buyer pays to acquire a certain good or service, while a seller offers goods or services for money or barter exchange. There can be single or multiple buyers and single or multiple sellers in an auction. If just one seller and one buyer are participating, the process is not considered to be an auction. The forward auction is the most common type of auction — a seller offers item(s) for sale and expects the highest price. A reverse auction is a type of auction in which the roles of the buyer and the seller are reversed, with the primary objective to drive purchase prices downward. While ordinary auctions provide suppliers the opportunity to find the best price among interested buyers, reverse auctions and
buyer-determined auction A reverse auction (also known as buyer-determined auction or procurement auction) is a type of auction in which the traditional roles of buyer and seller are reversed. Thus, there is one buyer and many potential sellers. In an ordinary auction al ...
s give buyers a chance to find the lowest-price supplier. During a reverse auction, suppliers may submit multiple offers, usually as a response to competing suppliers' offers, bidding down the price of a good or service to the lowest price they are willing to receive. A reverse price auction is not necessarily 'descending-price' — the reverse
Dutch auction A Dutch auction is one of several similar types of auctions for buying or selling goods. Most commonly, it means an auction in which the auctioneer begins with a high asking price in the case of selling, and lowers it until some participant accep ...
is an ascending-price auction because forward Dutch auctions are descending. By revealing the competing bids in real-time to every participating supplier, reverse auctions promote "information transparency". This, coupled with the dynamic bidding process, improves the chances of reaching the fair market value of the item. A double auction is a combination of both forward and reverse auctions. A
Walrasian auction A Walrasian auction, introduced by Léon Walras, is a type of simultaneous auction where each agent calculates its demand for the good at every possible price and submits this to an auctioneer. The price is then set so that the total demand across ...
or ''Walrasian tâtonnement'' is a double auction in which the auctioneer takes bids from both buyers and sellers in a market of multiple goods. Milgrom, 2004: p267 The auctioneer progressively either raises or drops the current proposed price depending on the bids of both buyers and sellers, the auction concluding when supply and demand exactly balance. As a high price tends to dampen demand while a low price tends to increase demand, in theory there is a particular price somewhere in the middle where supply and demand will match. A Barter double auction is an auction where every participant has a demand and an offer consisting of multiple attributes and no money is involved. For the mathematical modelling of satisfaction level,
Euclidean distance In mathematics, the Euclidean distance between two points in Euclidean space is the length of a line segment between the two points. It can be calculated from the Cartesian coordinates of the points using the Pythagorean theorem, therefor ...
is used, where the offer and demand are treated as vectors.


Price development

Auctions can be categorized into three types of procedures for auctions depending on the occurrence of a price development during an auction run and its causes.


Driven by bidders only

*
English auction An English auction is an open-outcry ascending dynamic auction. It proceeds as follows. * The auctioneer opens the auction by announcing a suggested opening bid, a starting price or reserve for the item on sale. * Then the auctioneer accepts incre ...
, also known as an ''open ascending price auction''. This type of auction is arguably the most common form of auction in use today. Participants bid openly against one another, with each subsequent bid required to be higher than the previous bid. An auctioneer may announce prices, bidders may call out their bids themselves (or have a proxy call out a bid on their behalf), or bids may be submitted electronically with the highest current bid publicly displayed. In some cases a maximum bid might be left with the auctioneer, who may bid on behalf of the bidder according to the bidder's instructions. The auction ends when no participant is willing to bid further, at which point the highest bidder pays their bid. Alternatively, if the seller has set a minimum sale price in advance (the 'reserve' price) and the final bid does not reach that price the item will remain unsold. Sometimes the auctioneer sets a minimum amount, sometimes known as a bidding increment, by which the next bid must exceed the current highest bid. The most significant distinguishing factor of this auction type is that the current highest bid is always available to potential bidders, although at that time there may be higher absentee bids held by the auctioneer which are not known to potential bidders. The English auction is commonly used for selling goods, most prominently antiques and artwork, but also secondhand goods and
real estate Real estate is property consisting of land and the buildings on it, along with its natural resources such as crops, minerals or water; immovable property of this nature; an interest vested in this (also) an item of real property, (more general ...
. *
Auction by the candle A candle auction, or auction by the candle, is a variation on the typical English auction that became popular in the 17th and 18th centuries.R.W. Patten. "Tatworth Candle Auction." ''Folklore'' 81, No. 2 (Summer 1970), 132-135 In a candle auction, ...
. A type of auction, used in England for selling ships, in which the highest bid laid on the table wins after a burning candle goes out. * Scottish auction is an auction where all bidding should be completed within a certain time interval, which provides bidders an appropriate amount of time for considerations and avoids precipitate actions.


Partially driven by time

*
Dutch auction A Dutch auction is one of several similar types of auctions for buying or selling goods. Most commonly, it means an auction in which the auctioneer begins with a high asking price in the case of selling, and lowers it until some participant accep ...
also known as an ''open descending price auction''. In the traditional Dutch auction the auctioneer begins with a high asking price for some quantity of like items; the price is lowered until a participant is willing to accept the auctioneer's price for some quantity of the goods in the lot or until the seller's reserve price is met. If the first bidder does not purchase the entire lot, the auctioneer continues lowering the price until all of the items have been bid for or the reserve price is reached. Items are allocated based on bid order; the highest bidder selects their item(s) first followed by the second highest bidder, etc. In a modification, all of the winning participants pay only the last announced price for the items that they bid on. The Dutch auction is named for its best known example, the Dutch tulip auctions. ("Dutch auction" is also sometimes used to describe online auctions where several identical goods are sold simultaneously to an equal number of high bidders). In addition to cut flower sales in the
Netherlands ) , anthem = ( en, "William of Nassau") , image_map = , map_caption = , subdivision_type = Sovereign state , subdivision_name = Kingdom of the Netherlands , established_title = Before independence , established_date = Spanish Netherl ...
, Dutch auctions have also been used for perishable commodities such as fish and tobacco. The Dutch auction is not widely used, except in market orders in stock or currency exchanges, which are functionally identical. *
Japanese auction A Japanese auction (also called ascending clock auction) is a dynamic auction format. It proceeds in the following way. * An initial price is displayed. This is usually a low price - it may be either 0 or the seller's reserve price. * All buyers t ...
is a variation of the Dutch auction with a low initial price that increases over time. As the price rises, participants must either signal intent to continue bidding or drop out of the auction, and no participant may enter or re-enter the auction once it has begun. Once only one participant remains in the auction, the auction ends and that participant wins the item at the current price. It has similarities to the ante in
Poker Poker is a family of comparing card games in which players wager over which hand is best according to that specific game's rules. It is played worldwide, however in some places the rules may vary. While the earliest known form of the game w ...
.


Single shot

* , or a sealed-bid first-price auction/blind auction, is a type of auction where all bidders simultaneously submit sealed bids so that no bidder knows the bid of any other participant. The highest bidder pays the price they submitted. This type of auction is distinct from the English auction, in that bidders can only submit one bid each. Furthermore, as bidders cannot see the bids of other participants they cannot adjust their own bids accordingly. From the theoretical perspective, this kind of bid process has been argued to be strategically equivalent to the
Dutch auction A Dutch auction is one of several similar types of auctions for buying or selling goods. Most commonly, it means an auction in which the auctioneer begins with a high asking price in the case of selling, and lowers it until some participant accep ...
. However, empirical evidence from laboratory experiments has shown that Dutch auctions with high clock speeds yield lower prices than FPSB auctions. What are effectively sealed first-price auctions are commonly called ''tendering'' for
procurement Procurement is the method of discovering and agreeing to terms and purchasing goods, Service (economics), services, or other works from an external source, often with the use of a tendering or competitive bidding process. When a government agenc ...
by companies and organisations, particularly for government contracts and auctions for mining leases. *
Vickrey auction A Vickrey auction or sealed-bid second-price auction (SBSPA) is a type of sealed-bid auction. Bidders submit written bids without knowing the bid of the other people in the auction. The highest bidder wins but the price paid is the second-highest ...
, also known as a sealed-bid second-price auction. Krishna, 2002: p9 This is identical to the sealed first-price auction except that the winning bidder pays the second-highest bid rather than their own. Vickrey auctions are extremely important in auction theory, and commonly used in automated contexts such as real-time bidding for online advertising, but rarely in non-automated contexts.


Properties of auctioned goods

Multiunit auction A multiunit auction is an auction in which several homogeneous items are sold. The units can be sold each at the same price (a uniform price auction) or at different prices (a discriminatory price auction). Uniform price auction A uniform pric ...
s sell more than one identical item at a time, rather than having separate auctions for each. This type can be further classified as either a
uniform price auction A multiunit auction is an auction in which several homogeneous items are sold. The units can be sold each at the same price (a uniform price auction) or at different prices (a discriminatory price auction). Uniform price auction A uniform pric ...
or a
discriminatory price auction A multiunit auction is an auction in which several homogeneous items are sold. The units can be sold each at the same price (a uniform price auction) or at different prices (a discriminatory price auction). Uniform price auction A uniform pric ...
. An example for them is
spectrum auction A spectrum auction is a process whereby a government uses an auction system to sell the rights to transmit signals over specific bands of the electromagnetic spectrum and to assign scarce spectrum resources. Depending on the specific auction form ...
s. A
combinatorial auction A combinatorial auction is a type of smart market in which participants can place bids on combinations of discrete heterogeneous items, or “packages”, rather than individual items or continuous quantities. These packages can be also called lot ...
is any auction for the simultaneous sale of more than one item where bidders can place bids on an "all-or-nothing" basis on "packages" rather than just individual items. That is, a bidder can specify that they will pay for items A and B, but only if they get ''both''. In combinatorial auctions, determining the winning bidder(s) can be a complex process where even the bidder with the highest individual bid is not guaranteed to win. For example, in an auction with four items (W, X, Y and Z), if Bidder A offers $50 for items W & Y, Bidder B offers $30 for items W & X, Bidder C offers $5 for items X & Z and Bidder D offers $30 for items Y & Z, the winners will be Bidders B & D while Bidder A misses out because the ''combined'' bids of Bidders B & D is higher ($60) than for Bidders A and C ($55). Deferred-acceptance auction is a special case of a combinatorial auction. Another special case of a combinatorial auction is the combinatorial clock auction (CCA), which combines a clock auction, during which bidders may provide their confirmations in response to the rising prices, with a subsequantial sealed bid auction, in which bidders submit sealed package bids. The auctioneer uses the final bids to compute the best value allocation and the Vickrey payments.
Generalized first-price auction The generalized first-price auction (GFP) is a non-truthful auction mechanism for sponsored search (a.k.a. position auctions). In sponsored search ''n'' bidders compete for the assignment of ''k'' slots. Each slot has an associate click-through ra ...
s and
Generalized second-price auction The generalized second-price auction (GSP) is a non-truthful auction mechanism for multiple items. Each bidder places a bid. The highest bidder gets the first slot, the second-highest, the second slot and so on, but the highest bidder pays the pri ...
s offer slots for multiple bidders instead of making a single deal. The bidders get the slots according to the ranking of their bids. The second-price ruling is derived from the
Vickrey auction A Vickrey auction or sealed-bid second-price auction (SBSPA) is a type of sealed-bid auction. Bidders submit written bids without knowing the bid of the other people in the auction. The highest bidder wins but the price paid is the second-highest ...
and means the final deal sealing for the number one bidder is based on the second bidder's price.


Reserve price

A
No-reserve auction A no-reserve auction (NR), also known as an absolute auction, is an auction in which the item for sale will be sold regardless of price. From the seller's perspective, advertising an auction as having no reserve price In economics, a reservation ...
(NR), also known as an ''absolute auction'', is an auction in which the item for sale will be sold regardless of price. From the seller's perspective, advertising an auction as having no
reserve price In economics, a reservation (or reserve) price is a limit on the price of a good or a service. On the demand side, it is the highest price that a buyer is willing to pay; on the supply side, it is the lowest price a seller is willing to accept ...
can be desirable because it potentially attracts a greater number of bidders due to the possibility of a bargain. If more bidders attend the auction, a higher price might ultimately be achieved because of heightened competition from bidders. This contrasts with a ''reserve auction'', where the item for sale may not be sold if the final bid is not high enough to satisfy the seller. In practice, an auction advertised as "absolute" or "no-reserve" may nonetheless still not sell to the highest bidder on the day, for example, if the seller withdraws the item from the auction or extends the auction period indefinitely, although these practices may be restricted by law in some jurisdictions or under the terms of sale available from the auctioneer. A reserve auction is an auction where the item for sale may not be sold if the final bid is not high enough to satisfy the seller; that is, the seller ''reserves'' the right to accept or reject the highest bid. In these cases, a set 'reserve' price known to the auctioneer, but not necessarily to the bidders, may have been set, below which the item may not be sold. If the seller announces to the bidders the reserve price, it is a public reserve price auction. In contrast, if the seller does not announce the reserve price before the sale, it is a secret reserve price auction. However, potential bidders may be able to deduce an approximate reserve price, if one exists at all, from any estimate given in advance by the auction house. The reserve price may be ''fixed'' or ''discretionary''. In the latter case, the decision to accept a bid is deferred to the auctioneer, who may accept a bid that is marginally below it. A reserve auction is safer for the seller than a no-reserve auction as they are not required to accept a low bid, but this could result in a lower final price if less interest is generated in the sale.


Price of bidding

An
all-pay auction In economics and game theory, an all-pay auction is an auction in which every bidder must pay regardless of whether they win the prize, which is awarded to the highest bidder as in a conventional auction. As shown by Riley and Samuelson (1981), equ ...
is an auction in which all bidders must pay their bids regardless of whether they win. The highest bidder wins the item. All-pay auctions are primarily of academic interest, and may be used to model lobbying or bribery (bids are political contributions) or competitions such as a running race.
Bidding fee auction A bidding fee auction, also called a penny auction, is a type of all-pay auction in which all participants must pay a non-refundable fee to place each small incremental bid. The auction is extended each time a new bid is placed, typically by 10 to 2 ...
, a variation of all-pay auction, also known as a penny auction, often requires that each participant must pay a fixed price to place each bid, typically one penny (hence the name) higher than the current bid. When an auction's time period expires, the highest bidder wins the item and must pay a final bid price. Unlike in a conventional auction, the final price is typically much lower than the value of the item, but all bidders (not just the winner) will have paid for each bid placed; the winner will buy the item at a very low price (plus price of rights-to-bid used), all the losers will have paid, and the seller will typically receive significantly more than the value of the item. A senior auction is a variation on the all-pay auction, and has a defined loser in addition to the winner. The top two bidders must pay their full final bid amounts, and only the highest wins the auction. The intent is to make the high bidders bid above their upper limits. In the final rounds of bidding, when the current losing party has hit their maximum bid, they are encouraged to bid over their maximum (seen as a small loss) to avoid losing their maximum bid with no return (a very large loss). Another variation of all-pay auction, the top-up auction is primarily used for charity events. Losing bidders must pay the difference between their bid and the next lowest bid. The winning bidder pays the amount bid for the item, without top-up. In a Chinese auction, bidders pay sealed bids in advance and their probability of winning grows with the relative size of their bids.


Structure of a bid

In usual auctions like the English one, bids are prices. In Dutch and Japanese auctions, the bids are confirmations. In a version of the
Brazilian auction A Brazilian auction is a certain set of rules for a reverse auction. The buyer communicates the price she or he is willing to pay for the whole lot in advance. Then, the sellers bid on how many identical units they are willing to provide at that p ...
, bids are numbers of units being traded. Structure elements of a bid are called attributes. If a bid is one number like price, it is a single-attribute auction. If bids consists of multiple-attributes, it is a
multi-attribute auction A multi-attribute auction is a type of auction in which the bids have multiple parts. Multi-attribute auctions allow agents to sell and purchase goods and services, taking into account more attributes than just price (e.g. service time, tolerances, ...
. A
Yankee auction A multiunit auction is an auction in which several homogeneous items are sold. The units can be sold each at the same price (a uniform price auction) or at different prices (a discriminatory price auction). Uniform price auction A uniform pric ...
is a single-attribute multiunit auction running like a Dutch auction, where the bids are the portions of a total amount of identical units. The amount of auctioned items is firm in a Yankee auction unlike a Brazilian auction. The portions of the total amount, bidders can bid, are limited to lower numbers than the total amount. Therefore, only a portion of the total amount will be traded for the best price and the rest to the suboptimal prices.


Visibility of bids

In an English auction, all current bids are visible to all bidders and in a sealed-bid auction, bidders only get to know if their bid was the best. Best/not best auctions are sealed-bid auctions with multiple bids, where the bidders submit their prices like in English auction and get responses about the leadership of their bid. Rank auction is an extension of best/not best auction, where the bidders also see the rank of their bids. Traffic-light auction shows traffic lights to bidders as a response to their bids. These traffic lights depend on the position of the last bid in the distribution of all bids.


Buyout option

A buyout auction is an auction with an additional set price (the 'buyout' price) that any bidder can accept at any time during the auction, thereby immediately ending the auction and winning the item. This means that if an item offers its buyout price at the beginning, one participant can stop all other potential participants from bidding at all, or stop the bidding process before the bid price has reached the buyout price. If no bidder chooses to utilize the buyout option before the end of bidding, the highest bidder wins and pays their bid. Buyout options can be either ''temporary'' or ''permanent''. In a temporary-buyout auction the option to buy out the auction is not available after the first bid is placed. In a permanent-buyout auction the buyout option remains available throughout the entire auction until the close of bidding. The buyout price can either remain the same throughout the entire auction, or vary throughout according to rules or simply as decided by the seller.


Winner selection

The winner selection in most auctions selects the best bid.
Unique bid auction A unique bid auction is a type of strategy game related to traditional auctions where the winner is usually the individual with the ''lowest'' unique bid, although less commonly the auction rules may specify that the ''highest'' unique bid is the ...
s offer a special winner selection. The winner is the bidder with the lowest unique bid. The Chinese auction, as already mentioned, selects a winner partially based on random. The final price for the selected winner is not always conducted according to their final bid. In the case of the second-price ruling as in a
Vickrey auction A Vickrey auction or sealed-bid second-price auction (SBSPA) is a type of sealed-bid auction. Bidders submit written bids without knowing the bid of the other people in the auction. The highest bidder wins but the price paid is the second-highest ...
, the final price for the winner is based on the second bidder's price. A
Proxy bid Proxy bidding is an implementation of an English second-price auction used on eBay, in which the winning bidder pays the price of the second-highest bid plus a defined increment. It differs from a Vickrey auction in that bids are not sealed; the ...
is a special case of second-price ruling used by
eBay eBay Inc. ( ) is an American multinational e-commerce company based in San Jose, California, that facilitates consumer-to-consumer and business-to-consumer sales through its website. eBay was founded by Pierre Omidyar in 1995 and became a ...
, where a predefined increment is added to the second highest bid in response to a yet higher bid. Auctions with more than one winner are called multi-winner auctions.
Multiunit auction A multiunit auction is an auction in which several homogeneous items are sold. The units can be sold each at the same price (a uniform price auction) or at different prices (a discriminatory price auction). Uniform price auction A uniform pric ...
,
Combinatorial auction A combinatorial auction is a type of smart market in which participants can place bids on combinations of discrete heterogeneous items, or “packages”, rather than individual items or continuous quantities. These packages can be also called lot ...
,
Generalized first-price auction The generalized first-price auction (GFP) is a non-truthful auction mechanism for sponsored search (a.k.a. position auctions). In sponsored search ''n'' bidders compete for the assignment of ''k'' slots. Each slot has an associate click-through ra ...
and
Generalized second-price auction The generalized second-price auction (GSP) is a non-truthful auction mechanism for multiple items. Each bidder places a bid. The highest bidder gets the first slot, the second-highest, the second slot and so on, but the highest bidder pays the pri ...
are multi-winner auctions.


Cascading

Auctions can be cascaded, one after the other. For instance, an Amsterdam auction is a type of premium auction which begins as an English auction. Once only two bidders remain, each submits a sealed bid. The higher bidder wins, paying either the first or second price. Both finalists receive a premium: a proportion of the excess of the second price over the third price (at which English auction ended). An Anglo-Dutch auction starts as an English or Japanese auction and then continues as a Dutch auction with a reduced number of bidders. A French auction is a preliminary sealed-bid auction before the actual auction, whose reserve price it determines. A
sequential auction A sequential auction is an auction in which several items are sold, one after the other, to the same group of potential buyers. In a ''sequential first-price auction'' (SAFP), each individual item is sold using a first price auction, while in a ''se ...
is an auction where the bidders can participate in a sequence of auctions. A
Calcutta auction A Calcutta auction is an open auction held in conjunction with a golf tournament, horse race or similar contest with multiple entrants. It is popular in backgammon, the Melbourne Cup, and college basketball pools during March Madness. Culcutta a ...
is a subtype of sequential auction, where the ordering in the sequence is determined by random. A simultaneous ascending auction is an opposite of a sequential auction, where the auctions are run in parallel.


Other features

The is a variant of the English auction in which bids are written on a sheet of paper. At the predetermined end of the auction, the highest listed bidder wins the item. This auction is often used in
charity Charity may refer to: Giving * Charitable organization or charity, a non-profit organization whose primary objectives are philanthropy and social well-being of persons * Charity (practice), the practice of being benevolent, giving and sharing * Ch ...
events, with many items auctioned simultaneously and "closed" at a common finish time. The auction is "silent" in that there is no auctioneer selling individual items, the bidders writing their bids on a bidding sheet often left on a table near the item. At charity auctions, bid sheets usually have a fixed starting amount, predetermined bid increments, and a "guaranteed bid" amount which works the same as a "buy now" amount. Other variations of this type of auction may include sealed bids. The highest bidder pays the price they submitted. In private value auctions, every bidder has their own valuation of the auctioned good. A
common value auction In common value auctions the value of the item for sale is identical amongst bidders, but bidders have different information about the item's value. This stands in contrast to a private value auction where each bidder's private valuation of the ite ...
is opposite, where the valuation of the auctioned good is identical among the bidders.


Contexts

The range of auctions' contexts is extremely wide and one can buy almost anything, from a house to an endowment policy and everything in between. Some of the recent developments have been the use of the Internet both as a means of disseminating information about various auctions and as a vehicle for hosting auctions themselves.


Human commodity auctions

As already mentioned in the history section, auctions have been used to trade
commodified Within a capitalist economic system, commodification is the transformation of things such as goods, services, ideas, nature, personal information, people or animals into objects of trade or commodities.For animals"United Nations Commodity Trad ...
people from the very first. Auctions have been used in
slave market A slave market is a place where slaves are bought and sold. These markets became a key phenomenon in the history of slavery. Slave markets in the Ottoman Empire In the Ottoman Empire during the mid-14th century, slaves were traded in special ...
s throughout history until modern times in the post-Gaddafi era Libya. The word for slave auction in the
Atlantic slave trade The Atlantic slave trade, transatlantic slave trade, or Euro-American slave trade involved the transportation by slave traders of enslaved African people, mainly to the Americas. The slave trade regularly used the triangular trade route and i ...
was
scramble Scramble, Scrambled, or Scrambling may refer to: Arts, entertainment, and media Games * ''Scramble'' (video game), a 1981 arcade game Music Albums * ''Scramble'' (album), an album by Atlanta-based band the Coathangers * ''Scrambles'' (album) ...
. A
child auction Child auction ( sv, Barnauktion, fi, Huutolaisuus) was a historical practice in Sweden and Finland during the 19th and early 20th centuries, in which orphan and poor children were boarded out in auctions. The name "auction" however does not refe ...
is a Swedish and Finnish historical practice of selling children into slavery-like conditions by authorities using a descending English auction.
Fattigauktion Fattigauktion (Poor Auction), was a historical practice within Swedish poor relief during the 19th-century, in which paupers were auctioned off to a bidder among the parishioners willing to house them in exchange for the lowest amount of money for ...
is a similar Swedish practice involving poor people being auctioned to church organizations. Trade of wives by auctions was also a common practice throughout history. For instance, in the old English custom of wife selling, a wife was divorced by selling her in a public auction for the highest bid.
ISIS Isis (; ''Ēse''; ; Meroitic: ''Wos'' 'a''or ''Wusa''; Phoenician: 𐤀𐤎, romanized: ʾs) was a major goddess in ancient Egyptian religion whose worship spread throughout the Greco-Roman world. Isis was first mentioned in the Old Kingd ...
conducted slave auctions to sell up to 7,000
Yazidi Yazidis or Yezidis (; ku, ئێزیدی, translit=Êzidî) are a Kurmanji-speaking endogamous minority group who are indigenous to Kurdistan, a geographical region in Western Asia that includes parts of Iraq, Syria, Turkey and Iran. The majo ...
women as reported in 2020. A
virginity auction A virginity auction is an auction, often publicized online, where a person seeks to sell their virginity. The winning bidder will win the right to be the first to have intercourse with the person. Often the authenticity of such auctions is subjec ...
is the voluntary practice of individuals seeking to sell their own
virginity Virginity is the state of a person who has never engaged in sexual intercourse. The term ''virgin'' originally only referred to sexually inexperienced women, but has evolved to encompass a range of definitions, as found in traditional, modern ...
to the highest bid.Gordon, Claire (9 February 2010)
How Much Is Virginity Worth
''
Slate (magazine) ''Slate'' is an online magazine that covers current affairs, politics, and culture in the United States. It was created in 1996 by former '' New Republic'' editor Michael Kinsley, initially under the ownership of Microsoft as part of MSN. In 20 ...
''
Cricket Cricket is a bat-and-ball game played between two teams of eleven players on a field at the centre of which is a pitch with a wicket at each end, each comprising two bails balanced on three stumps. The batting side scores runs by striki ...
players are routinely put up for auction, whereby cricket teams can bid for their services.
Indian Premier League The Indian Premier League (IPL), also known as TATA IPL for sponsorship reasons, is a men's T20 franchise cricket league of India. It is annually contested by ten teams based out of seven Indian cities and three Indian states. The leagu ...
(IPL) started annual public auctioning of cricket players in 2008 as an entertainment for mass consumption. Also,
Bangladesh Premier League The Bangladesh Premier League (BPL) ( bn, বাংলাদেশ প্রিমিয়ার লীগ) is a professional Twenty20 cricket league consisting of seven franchises. The BPL is one of the three professional cricket leagues in ...
conducts cricket player auctions, starting in 2012.


Real estate auctions

In some countries, such as
Australia Australia, officially the Commonwealth of Australia, is a Sovereign state, sovereign country comprising the mainland of the Australia (continent), Australian continent, the island of Tasmania, and numerous List of islands of Australia, sma ...
, auctioning is a common method for the sale of
real estate Real estate is property consisting of land and the buildings on it, along with its natural resources such as crops, minerals or water; immovable property of this nature; an interest vested in this (also) an item of real property, (more general ...
. Auctions were traditionally used as an alternative to the private sale/treaty method to sell property that, due to their unique characteristics, were difficult to determine a price for. The law does not require a vendor to disclose their
reserve price In economics, a reservation (or reserve) price is a limit on the price of a good or a service. On the demand side, it is the highest price that a buyer is willing to pay; on the supply side, it is the lowest price a seller is willing to accept ...
prior to the auction. During the 1990s and 2000s, auctions became the primary method for the sale of real estate in the two largest cities,
Melbourne Melbourne ( ; Boonwurrung/Woiwurrung: ''Narrm'' or ''Naarm'') is the capital and most populous city of the Australian state of Victoria, and the second-most populous city in both Australia and Oceania. Its name generally refers to a met ...
and
Sydney Sydney ( ) is the capital city of the state of New South Wales, and the most populous city in both Australia and Oceania. Located on Australia's east coast, the metropolis surrounds Sydney Harbour and extends about towards the Blue Mountain ...
. This was largely due to the fact that in a private sale the vendor has disclosed the price that they want, and potential purchasers would attempt to low-ball the price, whereas in an auction purchasers do not know what the vendor wants, and thus need to keep lifting the price until the reserve price is reached. The method has been the subject of increased controversy during the twenty-first century as Australian property bubble, house prices sky-rocketed. The rapidly rising housing market saw many homes, especially in Victoria and New South Wales, selling for significantly more than both the vendors' reserve price and the advertised price range. Subsequently, the auction systems' lack of transparency about the value of the property was brought into question, with estate agents and their vendor clients being accused of "under-quoting". Significant attention was given to the matter by the Australian media, with the government in Victoria eventually bowing to pressure and implementing changes to legislation in an effort to increase transparency. In the UK, historically, auction houses were perceived to sell properties which may have been repossessed - where a home owner fails to make regular mortgage payments - or were probate sales i.e. a family home being sold by the heirs. However, more recently, selling at auction has become an alternative to a normal property sale, due to the speedy nature of the entire process. In China, land auctions are under the sole control of local government officials. Because some developers may use bribes to please government officials to obtain the right to purchase the land, the central government requires that future land auctions be conducted using a
spectrum auction A spectrum auction is a process whereby a government uses an auction system to sell the rights to transmit signals over specific bands of the electromagnetic spectrum and to assign scarce spectrum resources. Depending on the specific auction form ...
in order to prevent the spread of corruption. Although this method cannot completely solve the problem of corruption, it is still a significant contribution to the auction.


Auctions by authorities

A government auction is simply an auction held on behalf of a government body generally at a general sale. Items for sale are often surplus needed to be liquidated. Auctions ordered by estate executors enter the assets of individuals who have perhaps died intestate (those who have died without leaving a will), or in debt. In legal contexts where force (law), forced auctions occur, as when one's farm or house is sold at auction on the courthouse steps. Property seized for Tax sale, non-payment of property taxes, or under foreclosure, is sold in this manner. Police auctions are generally held at general auctions, although some forces use online sites including eBay, to dispose of lost and found and seized goods. Debt auctions, in which governments issue and sell Public debt, debt obligations, such as Bond (finance), bonds, to investors. The auction is usually sealed and the uniform price paid by the investors is typically the best non-winning bid. In most cases, investors can also place so-called ''non-competitive bids'', which indicates interest to purchase the public debt, debt obligation at the resulting price, whatever it may be. Some states use Court auction, courts to run such auctions. In
spectrum auction A spectrum auction is a process whereby a government uses an auction system to sell the rights to transmit signals over specific bands of the electromagnetic spectrum and to assign scarce spectrum resources. Depending on the specific auction form ...
s conducted by the government, companies purchase licenses to use portions of the electromagnetic spectrum for communications (e.g., mobile phone networks). In certain jurisdictions, if a Self storage, storage facility's tenant fails to pay rent, the contents of their locker(s) may be sold at a public auction. Several television shows focus on such auctions, including ''Storage Wars'' and ''Auction Hunters''.


Commodity auctions

Auctions are used to trade
commodities In economics, a commodity is an economic good, usually a resource, that has full or substantial fungibility: that is, the market treats instances of the good as equivalent or nearly so with no regard to who produced them. The price of a comm ...
; for example, fish wholesale auctions. In wool auctions, wool is traded in the international market. The wine auction business offers serious collectors an opportunity to gain access to rare bottles and mature vintages, which are not typically available through retail channels. In
livestock Livestock are the domesticated animals raised in an agricultural setting to provide labor and produce diversified products for consumption such as meat, eggs, milk, fur, leather, and wool. The term is sometimes used to refer solely to animals ...
auctions, sheep, cattle, pigs and other livestock are sold. Sometimes very large numbers of stock are auctioned, such as the regular sales of 50,000 or more sheep during a day in New South Wales. In timber auctions, companies purchase licenses to log on government land. In timber allocation auctions, companies purchase timber directly from the government. In Electricity market, electricity auctions, large-scale generators and distributors of electricity bid on generating contracts. Produce auctions link growers to localized wholesale buyers (buyers who are interested in acquiring large quantities of locally grown produce).


Online auctions

Online auctions are a form of E-commerce, bringing greater convenience to people and allowing more people to participate as bidders, as well as being able to view a greater selection of auctions. Websites like
eBay eBay Inc. ( ) is an American multinational e-commerce company based in San Jose, California, that facilitates consumer-to-consumer and business-to-consumer sales through its website. eBay was founded by Pierre Omidyar in 1995 and became a ...
provide a potential market of millions of bidders to sellers. Established auction houses, as well as specialist internet auctions, sell many things online, from antiques and collectibles to holidays, air travel, brand new computers, and household equipment. Private electronic markets use combinatorial auction techniques to continuously sell commodities (coal, iron ore, grain, water, etc.) online to a pre-qualified group of buyers (based on price and non-price factors).


Unique item auctions

* Motor vehicle and Auto auction, car auctions – Here one can buy anything from an accident-damaged car to a brand new top-of-the-range model; from a run-of-the-mill family saloon to a rare collector's item. * Antiques and collectibles auctions give an opportunity for viewing a huge array of items. The sale of
collectible A collectable (collectible or collector's item) is any object regarded as being of value or interest to a collector. Collectable items are not necessarily monetarily valuable or uncommon. There are numerous types of collectables and terms t ...
s includes items such as stamps, coins, vintage toys & trains, classic cars, and fine art. * On-site auctions – Sometimes when the stock or assets of a company are simply too vast or too bulky for an auction house to transport to their own premises and store, they will hold an auction within the confines of the bankrupt company itself. Bidders could find themselves bidding for items which are still plugged in, and the great advantage of these auctions taking place on the premises is that they have the opportunity to view the goods as they were being used, and may be able to try them out. Bidders can also avoid the possibility of goods being damaged whilst they are being removed as they can do it or at least supervise the activity. * Second-hand goods – For the sale of consumer second-hand goods of all kinds, particularly farm (equipment) and house clearances and online auctions. * Sale of industrial machinery, both surplus or through insolvency. * Thoroughbred horses, where yearling horses and other bloodstock are auctioned. * Travel tickets – One example is SJ AB in Sweden auctioning surplus at Tradera (Swedish eBay). * Holidays – A variety of holidays are available for sale online particularly via eBay. Vacation rentals appear to be the most common. Many holiday auction websites have launched but failed. * Mystery auction – An auction where bidders bid for boxes or envelopes containing unspecified or underspecified items, usually on the hope that the items will be humorous, interesting, or valuable. In the early days of
eBay eBay Inc. ( ) is an American multinational e-commerce company based in San Jose, California, that facilitates consumer-to-consumer and business-to-consumer sales through its website. eBay was founded by Pierre Omidyar in 1995 and became a ...
's popularity, sellers began promoting boxes or packages of random and usually low-value items not worth selling by themselves. * Some rare CryptoKitties, which are tokens representing virtual cats, have been sold over automated blockchain auctions for more than $200,000.


Other contexts

* Charity auctions – Used by nonprofits, higher education, and religious institutions as a method to raise funds for a specific mission or cause both through the act of bidding itself, and by encouraging participants to support the cause and make personal donations. Often, these auctions are linked with another charity event like a benefit concert. * Insurance policies – Auctions are held for second-hand endowment policies. The attraction is that someone else has already paid substantially to set up the policy in the first place, and one will be able (with the help of a financial calculator) to calculate its real worth and decide whether it is worth taking on. Lloyd's, the world's reinsurance market, runs auctions of syndicate capacity for the underwriting. * Private treaty sales – Occasionally, when looking at an auction catalog some of the items have been withdrawn. Usually, these goods have been sold by 'private treaty'. This means that the goods have already been sold off, usually to a trader or dealer on a private, behind-the-scenes basis before they have had a chance to be offered at the auction sale. These goods are rarely in single lots – photocopiers or fax machines would generally be sold in bulk lots. * Environmental auctions, in which companies bid for licenses to avoid being required to decrease their environmental impact. These include auctions in emissions trading schemes.


Bidding strategy


By the bidders

Michael Katehakis, Katehakis and Puranam provided the first model for the problem of optimal bidding for a firm that in each period procures items to meet a random demand by participating in a finite sequence of auctions. In this model an item valuation derives from the sale of the acquired items via their demand distribution, sale price, acquisition cost, salvage value and lost sales. They established monotonicity properties for the value function and the optimal dynamic bid policy. They also provided a model for the case in which the buyer must acquire a fixed number of items either at a fixed buy-it-now price in the open market or by participating in a sequence of auctions. The objective of the buyer is to minimize their expected total cost for acquiring the fixed number of items. Bid shading is placing a bid which is below the bidder's actual value for the item. Such a strategy risks losing the auction but has the possibility of winning at a low price. Bid shading can also be a strategy to avoid the winner's curse. Auction cancellation hunters bid minimal amounts on multiple auctions and expect them to be cancelled. If an auction is cancelled by the seller, they will claim for damages in the amount of the difference between the maximum bid at the time of the auction cancellation and the price of a replacement purchase of the offered item in the auction, when the market is in equilibrium, even if the seller has not sold any of the items, the shadow of bidding still exists. This is the self-protection instinct of the auction market. In order to make this transaction fairer. Auction sniping is the practice of placing a bid at the last moment of the auction. According to the analysis of auction data from eBay, in general, experienced bidders are more likely to snipe in auctions, and those who snipe in auctions are more likely to win. Jump bidding is an aggressive tactic of increasing every bid by high amounts. Calor licitantis is also known as "auction fever" and describes the irrational behavior of bidders at auctions. Suicide bidding is practice in reverse auctions, whereby a bidder submits a bid, which ends up in a loss for this bidder.


Collusion

Whenever bidders at an auction are aware of the identity of the other bidders there is a risk that they will form a "ring" or "pool" and thus manipulate the auction result, a practice known as collusion or more specially bid-rigging. By agreeing to bid only against outsiders, never against members of the "ring", competition becomes weaker, which may dramatically affect the final price level. After the end of the official auction, an unofficial auction may take place among the "ring" members. The difference in price between the two auctions could then be split among the members. This form of a ring was used as a central plot device in the opening episode of the 1979 British television series ''The House of Caradus'', 'For Love or Money', uncovered by Helena Caradus on her return from Paris. In the UK, this auction practice is illegal. It jeopardizes competition on the auction and can demotivate other bidders from participating. It robs the seller of the true value of their good and reduces the auctioneer's commission. Beyond explicit collusion, a tacit collusion, tacit coordination of bidders to keep bids low is at least theoretically possible. In case of
spectrum auction A spectrum auction is a process whereby a government uses an auction system to sell the rights to transmit signals over specific bands of the electromagnetic spectrum and to assign scarce spectrum resources. Depending on the specific auction form ...
s, the Federal Communications Commission (FCC) experimented with precautions restricting visibility of bids, limiting the number of bids, click-box bidding, and anonymous bidding in order to prevent bidders from signalling (economics), signalling bidding information by embedding it into digits of the bids. Actions within the auction mechanism serve as a communication channel for collusive behavior, once no other channels are legal.


By the auctioneer


Chandelier or rafter bidding

This is the practice, especially by high-end art auctioneers, of raising false bids at crucial times in the bidding in order to create the appearance of greater demand or to extend bidding momentum for a work on offer. To call out these nonexistent bids auctioneers might fix their gaze at a point in the auction room that is difficult for the audience to pin down. The practice is frowned upon in the industry. In the United States, chandelier bidding is not illegal. In fact, an auctioneer may bid up the price of an item to the reserve price, which is a threshold below which the consignor may refuse to sell the item. However, the auction house is required to disclose this information. In the United Kingdom this practice is legal on property auctions up to but not including the reserve price, and is also known as off-the-wall bidding.


Collusion involving auctioneer

A ring can also be used to increase the price of an auction lot, in which the owner of the object being auctioned may increase competition by taking part in the bidding themself, but drop out of the bidding just before the final bid. This form of a ring was used as a central plot device in an episode of the British television series ''Lovejoy'' (series 4, episode 3), in which the price of a watercolour by the (fictional) Jessie Webb is inflated so that others by the same artist could be sold for more than their purchase price. In an English auction, a dummy bid is a bid made by a dummy bidder acting in collusion with the auctioneer or vendor, designed to deceive genuine bidders into paying more. In a first-price auction, a dummy bid is an unfavourable bid designed so as not to become the winning bid. (The bidder does not want to win this auction, but they want to make sure to be invited to the next auction). In Britain and many other countries, rings and other forms of bidding on one's own object are illegal. In Australia, a dummy bid or also a Shill#Auctions, shill is a criminal offence, but a vendor bid or a co-owner bid below the reserve price is permitted if clearly declared as such by the auctioneer. These are all official legal terms in Australia but may have other meanings elsewhere. A co-owner is one of two or several owners (who disagree among themselves). In Sweden and many other countries, there are no legal restrictions, but it will severely hurt the reputation of an auction house that knowingly permits any other bids except genuine bids. If the reserve is not reached this should be clearly declared. In South Africa auctioneers can use their staff or any bidder to raise the price as long as it's disclosed before the auction sale. Rael Levitt's companies ''The Auction Alliance'' controversy focused on vendor bidding and led to its downfall in 2012.


Suggested opening bid (SOB)

There will usually be an estimate of what price the lot will fetch. In an ascending open auction it is considered important to get at least a 50-percent increase in the bids from start to finish. To accomplish this, the auctioneer must start the auction by announcing a suggested opening bid (SOB) that is low enough to be immediately accepted by one of the bidders. Once there is an opening bid, there will quickly be several other, higher bids submitted. Experienced auctioneers will often select an SOB that is about 45 percent of the (lowest) estimate. Thus there is a certain margin of safety to ensure that there will indeed be a lively auction with many bids submitted. Several observations indicate that the lower the SOB, the higher the final winning bid. This is due to the increase in the number of bidders attracted by the low SOB. A chi-squared distribution shows many low bids but few high bids. Bids "show up together"; without several low bids there will not be any high bids. Another approach to choosing a SOB: The auctioneer may achieve good success by asking the expected final sales price for the item, as this method suggests to the potential buyers the item's particular value. For instance, an auctioneer is about to sell a $1,000 car at a sale. Instead of asking $100, hoping to entice wide interest, the auctioneer may suggest an opening bid of $1,000; although the first bidder may begin bidding at a mere $100, the final bid may more likely approach $1,000.


Terminology

* Absentee bids – this is when a prospective buyer places a bid on an item without attending the sale. This is sometimes referred to instead as a commission bid because the auctioneer is effectively commissioned to enter bids on the potential buyer's behalf. The bid is submitted prior to the auction by whatever means the auctioneer has stipulated. * Economic appraisal, Appraisal – an estimate of an item's worth, usually performed by an expert in that particular field. * – a raised platform on which the auctioneer shows the items to be auctioned; it can also be slang for the auction itself. * Auction chant – a rhythmic repetition of numbers and "filler words" spoken by an auctioneer in the process of conducting an auction. * Auction fever – an emotional state elicited in the course of one or more auctions that causes a bidder to deviate from an initially chosen bidding strategy. * – the company operating the auction (i.e., establishing the date and time of the auction, the auction rules, determining which items are to be included in the auction, registering bidders, taking payments, and delivering the goods to the winning bidders). * – the person conducting the actual auction. They announce the rules of the auction and the items being auctioned, call and acknowledge bids made, and announce the winner. **The auctioneer can sometimes just be the owner of the business, in which case they may hire a bid caller/s to announce the rules and call bids. **The auctioneer may operate their own auction house (and thus perform the duties of both auctioneer and auction house), or work for another house. **Auctioneers are frequently regulated by governmental entities, and in those jurisdictions must meet certain criteria to be licensed (be of a certain age, have no disqualifying criminal record, attend auction school, pass an examination, and pay a licensing fee). **Auctioneers may or may not (depending on the laws of the jurisdiction and the policies of the auction house) bid for their own account, or if they do, must disclose this to bidders at the auction; similar rules may apply for employees of the auctioneer or the auction house. * Bidding – the act of participating in an auction by offering to purchase an item for sale. * Bid Construction Problem (BCP) – also known as the Bid Generation Problem (BGP), BCP is a NP-Hard combinatorial problem addressed and solved by the bidder to determine the bid packages to bid on and their corresponding bidding prices. * Buyer's premium – a fee paid by the buyer to the auction house; it is typically calculated as a percentage of the winning bid and added to it. Depending on the jurisdiction, the buyer's premium, in addition to the sales price, may be subject to VAT or sales tax. * Buyout price – a price that, if accepted by a bidder, immediately ends the auction and awards the item to them (an example is
eBay eBay Inc. ( ) is an American multinational e-commerce company based in San Jose, California, that facilitates consumer-to-consumer and business-to-consumer sales through its website. eBay was founded by Pierre Omidyar in 1995 and became a ...
's "Buy It Now" feature). * Choice – a form of bidding whereby a number of identical or similar items are bid at a single price for each item. * Clearance rate – the percentage of items that sell over the course of the auction. * Commission (remuneration), Commission – a fee paid by a consignor/seller to the auction house; it is typically calculated as a percentage of the winning bid and deducted from the gross proceeds due to the consignor/seller. * Consignee and consignor – as pertaining to auctions, the consignor (also called the seller, and in some contexts the vendor) is the person owning the item to be auctioned or the owner's representative, while the consignee is the auction house. The consignor maintains title until such time that an item is purchased by a bidder and the bidder pays the auction house. * Dummy bid (a/k/a "ghost bid") – a false bid, made by someone in collusion with the seller or auctioneer, designed to create a sense of increased interest in the item (and, thus, increased bids). * Dynamic closing – a mechanism used to prevent auction sniping, by which the closing time is extended for a small period to allow other bidders to increase their bids. * Ebidding, eBidding – electronic bidding, whereby a person may make a bid without being physically present at an auction (or where the entire auction is taking place on the Internet). * Earnest money deposit (a/k/a "caution money deposit" or "registration deposit") – a payment that must be made by prospective bidders ahead of time in order to participate in an auction. **The purpose of this deposit is to deter non-serious bidders from attending the auction; by requiring the deposit, only bidders with a genuine interest in the items being sold will participate. **This type of deposit is most often used in auctions involving high-value goods (such as
real estate Real estate is property consisting of land and the buildings on it, along with its natural resources such as crops, minerals or water; immovable property of this nature; an interest vested in this (also) an item of real property, (more general ...
). **The winning bidder has their earnest money applied toward the final selling price; the non-winners have theirs refunded to them. * Escrow – an arrangement in which the winning bidder pays the amount of their bid to a third party, who in turn releases the funds to the seller under agreed-upon terms. * Hammer price – the nominal price at which a lot is sold; the winner is responsible for paying any additional fees and taxes on top of this amount. * wikt:increment, Increment – a minimum amount by which a new bid must exceed the previous bid. An auctioneer may decrease the increment when it appears that bidding on an item may stop, so as to get a higher hammer price. Alternatively, a participant may offer a bid at a smaller increment, which the auctioneer has the discretion to accept or reject. * Lot – either a single item being sold, or a group of items (which may or may not be similar or identical, such as a "job lot" of manufactured goods) that are bid on as one unit. **If the lot is for a group of items, the price paid is for the entire lot and the winning bidder must take all the items sold. **Variants on a group lot bid include "choice" and "times the money" (see definitions for each). ***Example: An auction has five bath fragrance gift baskets where bidding is "lot", and the hammer price is $5. The winner must pay $5 (as the price is for the whole lot) and must take all five baskets. * Maiden bid – a single bid which wins the lot being offered for sale, with no other bids made. * Minimum bid – the smallest opening bid that will be accepted. **A minimum bid can be as little as $0.01 (one cent) depending on the auction. **If no one bids at the initial minimum bid, the auctioneer may lower the minimum bid so as to create interest in the item. **The minimum bid differs from a reserve price (see definition), in that the auctioneer sets the minimum bid, while the seller sets the reserve price (if desired). * "New money" – a new bidder, joining bidding for an item after others have bid against each other. * No reserve auction (a/k/a "absolute auction") – an auction in which there is no minimum acceptable price; so long as the winning bid is at least the minimum bid, the seller must honor the sale. * Outbid (also spelled "out-bid" or "out bid") – to bid higher than another bidder. * Opening bid – the first bid placed on a particular lot. The opening bid must be at least the minimum bid, but may be higher (e.g., a bidder may shout out a considerably larger bid than minimum, to discourage other bidders from bidding). * Paddle – a numbered instrument used to place a bid * Protecting a market – when a dealer places a bid on behalf of an artist they represent or otherwise have a financial interest in ensuring a high price. Artists represented by major galleries typically expect this kind of protection from their dealers. * Proxy bid (also called an absentee bid) – a bid placed by an authorized representative of a bidder who is not physically present at the auction. **Proxy bids are common in auctions of high-end items, such as art sales (where the proxy represents either a private bidder who does not want to be disclosed to the public, or a museum bidding on a particular item for its collection). **If the proxy is outbid on an item during the auction, the proxy (depending on the instructions of the bidder) may either increase the bid (up to a set amount established by the bidder) or be required to drop out of the bidding for that item. **A proxy may also be limited by the bidder in the total amount to spend on items in a multi-item auction. * Relisting – re-selling an item that has already been sold at auction, but where the buyer did not take possession of the item (for example, in a real estate auction, the buyer did not provide payment by the closing date). * Reserve price – a minimum acceptable price established by the seller prior to the auction, which may or may not be disclosed to the bidders. **If the winning bid is below the reserve price, the seller has the right to reject the bid and withdraw the item or items being auctioned. **The reserve price differs from a minimum bid (see definition), in that the seller sets the reserve price (if desired), while the auctioneer sets the minimum bid. * – a submitted bid whose value is unknown to competitors. * Auction sniping, Sniping – the act of placing a bid just before the end of a timed auction, thus giving other bidders no time to enter new bids. * Soft close – When a bidder places a bid in the last set amount of minutes and the auction is automatically extended for a set period of time. Soft closes prevent sniping. * Specialist – on-staff trained professionals, often specialising in specific objects (for example, porcelain) who put together the auction. * The "three Ds" (death, divorce, or debt) – sometimes a reason for an item to be sold at an auction. * Vendor bid – a bid by the person selling the item. The bid is sometimes a dummy bid (see definition) but not always. * White glove sale – an auction in which every single lot is sold.Andrew M. Goldstein.
A Beginner's Guide to Art Auctions
, artspace.com, 8 November 2012. Retrieved 8 December 2016.


JEL classification

The ''Journal of Economic Literature'' (JEL) JEL classification codes, classification code for auctions is D44. (D: Microeconomics, D4: Market Structure and Pricing, D44: Auctions)


See also

* Auction chant * Auction Network * Auction school * Auction software *
Auction theory Auction theory is an applied branch of economics which deals with how bidders act in auction markets and researches how the features of auction markets Incentivisation, incentivise predictable outcomes. Auction theory is a tool used to inform the ...
* Monopoly (game), Auctions in Monopoly game * Foreclosure * Game theory * Offer and acceptance * Online auction * Online travel auction * Request for tender * Silent trade


Notes


References

* Klemperer, P. 1999. Auction theory: A guide to the literature. Journal of Economic Surveys * * * * *


Further reading

* This gives an overview of the history of auctions, focusing especially on English practice. *
Draft edition available online
* * Combinatorial auctions for transportation services procurement. * {{Authority control Auctions, *