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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 that are interested in buying the item at the displayed price enter the auction arena. * The displayed price increases continuously, or by small discrete steps (e.g. one cent per second). * Each buyer may exit the arena at any moment. * No exiting buyer is allowed to re-enter the arena. * When a single buyer remains in the arena, the auction stops. The remaining buyer wins the item and pays the displayed price. Strategies Suppose a buyer believes that the value of the item is ''v''. Then this buyer has a simple dominant strategy: stay in the arena as long as the displayed price is below ''v''; exit the arena whenever the displayed price equals ''v''. This means that the Japanese auction is a truthful mechanism: it is always best to act a ...
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Auction
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 exist and are described in the section about different types. The branch of economic theory dealing with auction types and participants' behavior in auctions is called auction theory. 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. These contexts include antiques, paintings, rare collectibles, expensive wines, commodities, livestock, radio spectrum, used cars, real estate, online advertising, vacation packages, emission trading, ...
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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 for a good or service. Reservation prices are commonly used in auctions, but the concept is extended beyond. A party's best alternative to a negotiated agreement (BATNA) is closely related to their reservation price. Once a party determines their BATNA, they can then calculate their reservation price. In negotiations surrounding the price of a particular good or service, the reservation price is a singular number. However, this is not the only situation in which reservation prices are seen. When multiple issues are being discussed, such as the size of salary and amount of benefits when applying for a new job position, the reservation price would be represented as a package where multiple requirements need to be met. Description In m ...
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Dominant Strategy
In game theory, strategic dominance (commonly called simply dominance) occurs when one strategy is better than another strategy for one player, no matter how that player's opponents may play. Many simple games can be solved using dominance. The opposite, intransitivity, occurs in games where one strategy may be better or worse than another strategy for one player, depending on how the player's opponents may play. Terminology When a player tries to choose the "best" strategy among a multitude of options, that player may compare two strategies A and B to see which one is better. The result of the comparison is one of: * B is equivalent to A: choosing B always gives the same outcome as choosing A, no matter what the other players do. * B strictly dominates A: choosing B always gives a better outcome than choosing A, no matter what the other players do. * B weakly dominates A: choosing B always gives at least as good an outcome as choosing A, no matter what the other players do, an ...
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Truthful Mechanism
In game theory, an asymmetric game where players have private information is said to be strategy-proof or strategyproof (SP) if it is a weakly-dominant strategy for every player to reveal his/her private information, i.e. given no information about what the others do, you fare best or at least not worse by being truthful. SP is also called truthful or dominant-strategy-incentive-compatible (DSIC), to distinguish it from other kinds of incentive compatibility. An SP game is not always immune to collusion, but its robust variants are; with group strategyproofness no group of people can collude to misreport their preferences in a way that makes every member better off, and with strong group strategyproofness no group of people can collude to misreport their preferences in a way that makes at least one member of the group better off without making any of the remaining members worse off. Examples Typical examples of SP mechanisms are majority voting between two alternatives, second- ...
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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 bid. This type of auction is strategically similar to an English auction and gives bidders an incentive to bid their true value. The auction was first described academically by Columbia University professor William Vickrey in 1961 though it had been used by stamp collectors since 1893. In 1797 Johann Wolfgang von Goethe sold a manuscript using a sealed-bid, second-price auction. Vickrey's original paper mainly considered auctions where only a single, indivisible good is being sold. The terms ''Vickrey auction'' and ''second-price sealed-bid auction'' are, in this case only, equivalent and used interchangeably. In the case of multiple identical goods, the bidders submit inverse demand curves and pay the opportunity cost. Vickrey auctions ...
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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 item is different and independent of peers' valuations. A classic example of a pure common values auction is when a jar full of quarters is auctioned off. The jar will be worth the same amount to anyone. However, each bidder has a different guess about how many quarters are in the jar. Other, real-life examples include Treasury bill auctions, initial public offerings, spectrum auctions, very prized paintings, art pieces, antiques etc. One important phenomenon occurring in common value auctions is the winner's curse. Bidders have only estimates of the value of the good. If, on average, bidders are estimating correctly, the highest bid will tend to have been placed by someone who overestimated the good's value. This is an example of adverse s ...
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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 increasingly higher bids from the floor and sometimes from other sources, for example online or telephone bids, consisting of buyers with an interest in the item. The auctioneer usually determines the minimum increment of bids, often making them larger as bidding reaches higher levels. * The highest bidder at any given moment is considered to have the standing bid, which can only be displaced by a higher bid from a competing buyer. * If no competing bidder challenges the standing bid within the time allowed by the auctioneer, the standing bid becomes the winner, and the item is sold to the highest bidder at a price equal to their bid. *If no bidder accepts the starting price, the auctioneer either begins to lower the starting price in increme ...
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Jump Bidding
In auction theory, jump bidding is the practice of increasing the current price in an English auction, substantially more than the minimal allowed amount. Puzzle At first glance, jump bidding seems irrational. Apparently, in an English auction, it is a dominant strategy for each buyer whose price is above the displayed price, to always bid the minimal allowed increment (e.g. one cent) above the displayed price. By bidding higher, the bidder gives up the opportunity to win the item at a lower price. However, in practice buyers increase the displayed price much more than the minimal allowed increment. Buyers may even sometimes offer an increase on their own high bid, seemingly irrationally. Several explanations have been suggested to this behavior. Reducing bidding costs When bidding is costly, or when time is costly, jump-bidding allows the bidders to reduce their total costs and get to the outcome faster. Signaling Consider two veteran bidders, that compete with each ot ...
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Betting (poker)
In the game of poker, the play largely centers on the act of betting, and as such, a protocol has been developed to speed up play, lessen confusion, and increase security while playing. Different games are played using different types of bets, and small variations in etiquette exist between cardrooms, but for the most part the following rules and protocol are observed by the majority of poker players. Procedure Players in a poker game act in turn, in clockwise rotation (acting out of turn can negatively affect other players). When it is a player's turn to act, the first verbal declaration or action they take does NOT bind them to their choice of action; this rule allows a player to think out loud at the table without being penalized for doing so. Until the first bet is made each player in turn may "check", which is to not place a bet, or "open", which is to make the first bet. After the first bet each player may "fold", which is to drop out of the hand losing any bets they have ...
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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 was played with just 20 cards, today it is usually played with a standard deck, although in countries where short packs are common, it may be played with 32, 40 or 48 cards.Parlett (2008), pp. 568–570. Thus poker games vary in deck configuration, the number of cards in play, the number dealt face up or face down, and the number shared by all players, but all have rules that involve one or more rounds of betting. In most modern poker games, the first round of betting begins with one or more of the players making some form of a forced bet (the '' blind'' or ''ante''). In standard poker, each player bets according to the rank they believe their hand is worth as compared to the other players. The action then proceeds clockwise as each playe ...
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