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A smart market is a periodic
auction An auction is usually a process of Trade, buying and selling Good (economics), goods or Service (economics), services by offering them up for Bidding, bids, taking bids, and then selling the item to the highest bidder or buying the item from th ...
which is cleared by the
operations research Operations research () (U.S. Air Force Specialty Code: Operations Analysis), often shortened to the initialism OR, is a branch of applied mathematics that deals with the development and application of analytical methods to improve management and ...
technique of
mathematical optimization Mathematical optimization (alternatively spelled ''optimisation'') or mathematical programming is the selection of a best element, with regard to some criteria, from some set of available alternatives. It is generally divided into two subfiel ...
, such as
linear programming Linear programming (LP), also called linear optimization, is a method to achieve the best outcome (such as maximum profit or lowest cost) in a mathematical model whose requirements and objective are represented by linear function#As a polynomia ...
. The smart market is operated by a market manager. Trades are not bilateral, between pairs of people, but rather to or from a pool. A smart market can assist market operation when trades would otherwise have significant
transaction costs In economics, a transaction cost is a cost incurred when making an economic trade when participating in a market. The idea that transactions form the basis of economic thinking was introduced by the institutional economist John R. Commons in 1 ...
or
externalities In economics, an externality is an indirect cost (external cost) or indirect benefit (external benefit) to an uninvolved third party that arises as an effect of another party's (or parties') activity. Externalities can be considered as unpriced ...
. Most other types of
auctions An auction is usually a process of Trade, buying and selling Good (economics), goods or Service (economics), services by offering them up for Bidding, bids, taking bids, and then selling the item to the highest bidder or buying the item from th ...
can be cleared by a simple process of
sorting Sorting refers to ordering data in an increasing or decreasing manner according to some linear relationship among the data items. # ordering: arranging items in a sequence ordered by some criterion; # categorizing: grouping items with similar p ...
bids from lowest to highest. Goods may be divisible, as with milk or flour, or indivisible, as with paintings or houses. Finding a market-clearing allocation corresponds to solution of a simple
knapsack problem The knapsack problem is the following problem in combinatorial optimization: :''Given a set of items, each with a weight and a value, determine which items to include in the collection so that the total weight is less than or equal to a given lim ...
, and does not require much computation. By contrast, a smart market allows
market clearing In economics, market clearing is the process by which, in an economic market, the supply of whatever is traded is equated to the demand so that there is no excess supply or demand, ensuring that there is neither a surplus nor a shortage. The new ...
with arbitrary constraints. During market design, constraints are selected to match the relevant physics and economics of the allocation problem. A good overview is given in McCabe et al. (1991).
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 ...
s are smart markets in which goods are indivisible, but some smart markets allocate divisible goods such as electricity and natural gas. Compared to traditional market structures, a smart market substantially reduces transaction costs, allows competition which would not be possible otherwise, and can eliminate externalities. Despite complex constraints, a smart market allows the benefits of a modern financial exchange system. Fulfilment of the contract is backed by the exchange; parties are generally anonymous; the market manager enforces regulation to ensure fairness and transparency; and markets are orderly, especially during stressful conditions. A smart market may be a one-sided auction in which participants buy from the market manager, a one-sided
procurement Procurement is the process of locating 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. The term may also refer to a contractual ...
(
reverse auction Reverse or reversing may refer to: Arts and media * ''Reverse'' (Eldritch album), 2001 * ''Reverse'' (2009 film), a Polish comedy-drama film * ''Reverse'' (2019 film), an Iranian crime-drama film * ''Reverse'' (Morandi album), 2005 * ''Reverse'' ...
) in which participants sell to the market manager, or two-sided, in which the market manager balances supplying participants with demanding participants. In a two-sided smart market, the market manager may be a net seller, a net buyer, or simply a revenue-neutral broker. Smart markets are achievable due to an enabling confluence of technologies: the internet to transmit users’ bids and the resulting prices and quantities, increased computation power to run the simulation and linear program, and real time monitoring.


Examples of smart markets

The term appears to have been first used by Rassenti, Smith, and Bulfin in 1982. That article proposed 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 ...
for airplane take-off and landing slots. The U.S. government is now seeking to implement such an auction. The modern
electricity market An electricity market is a system that enables the exchange of electrical energy, through an electrical grid. Historically, electricity has been primarily sold by companies that operate electric generators, and purchased by consumers or electr ...
is an important example of a two-sided smart market., Electricity markets clear every few minutes, and require coordination to ensure that power
generation A generation is all of the people born and living at about the same time, regarded collectively. It also is "the average period, generally considered to be about 20–⁠30 years, during which children are born and grow up, become adults, and b ...
matches demand, and that power flows do not exceed network line capacities. Generators offer to supply tranches of power at a range of prices. Wholesale power distributors bid to buy tranches of power at a range of prices. To clear the market, the market manager solves a linear program in which the decision variables are how much power to accept from each generator, the flow of power on each line, and how much power to provide to each distributor. After solution, the primal variables prescribe the dispatch (that is, how much power each generator should produce). The dual variables provide the market clearing prices. By clearing the market based on the dual prices, participants are charged on marginal values, rather than as bid. Thus, every seller is guaranteed to receive at least as much as was bid and possibly more. Every buyer is guaranteed to pay no more than was offered, and possibly less. Without the smart market, the line operator, all generators, and all distributors would have to be part of a
monopoly A monopoly (from Greek language, Greek and ) is a market in which one person or company is the only supplier of a particular good or service. A monopoly is characterized by a lack of economic Competition (economics), competition to produce ...
in order to guarantee system coordination.
Natural gas Natural gas (also fossil gas, methane gas, and gas) is a naturally occurring compound of gaseous hydrocarbons, primarily methane (95%), small amounts of higher alkanes, and traces of carbon dioxide and nitrogen, hydrogen sulfide and helium ...
markets are sometimes cleared by smart markets, as in Australi

The system operator serves as the market manager. Operation of the gas pipeline network require coordination to ensure that gas supply matches demand, and that flows do not exceed pipe capacities. Gas suppliers offer a range of quantities at a range of prices. Distributors bid to buy a range of quantities at a range of prices. To clear the market, the market manager solves a linear program in which the decision variables are the gas to accept from each supplier, the flow of gas on each pipe segment, and how much gas to provide to each distributor. As with electricity markets, after solution, the primal variables prescribe the optimal flows, and the dual variables provide the market clearing prices. The objective minimizes the cost of supplying power. The
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 for ...
is a one-sided smart market which is cleared by an integer program. Participants purchase radio spectrum from government. These
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 ...
s are cleared as bid, rather than at prices based on dual variables. Only recently have researchers found robust means to obtain dual variables from
integer programs Linear programming (LP), also called linear optimization, is a method to achieve the best outcome (such as maximum profit or lowest cost) in a mathematical model whose requirements and objective are represented by linear relationships. Linear ...
. Companies and governments sometimes use smart markets in procurement, as for
transportation Transport (in British English) or transportation (in American English) is the intentional Motion, movement of humans, animals, and cargo, goods from one location to another. Mode of transport, Modes of transport include aviation, air, land tr ...
services. The Chilean government, for example, uses a smart market to choose caterers for school meal programs. The
University of Chicago Booth School of Business The University of Chicago Booth School of Business (branded as Chicago Booth) is the graduate business school of the University of Chicago, a private research university in Chicago, Illinois. Founded in 1898, Chicago Booth is the second-oldest ...
uses a smart market for course registration. The system ensures that the class seats go to those students who most want them, while ensuring that the number of students in each class stays within the room capacity. Smart markets are now being proposed for environmental services, including water. The more sophisticated of these designs rely on
hydrological optimization Hydrological optimization applies mathematical optimization techniques (such as dynamic programming, linear programming, integer programming, or quadratic programming) to water-related problems. These problems may be for surface water, groundwate ...
Ahlfeld, D., Barlow, P., and Mulligan, A. (2005). GWM–A ground–water mgt process for the USGS modular ground–water model (MODFLOW–2000), U.S. Geological Survey Open–File Report 2005–1072. and hydrological run-off models.


Formulations

A smart market formulation may be written as a net pool, in which the decision variables explicitly calculate buys and sells, and the market model clears only those quantities. The net pool market can be mathematically infeasible if participants are unwilling to trade sufficient quantities to allow feasibility. Alternatively, the formulation may be a gross pool, in which the decision variables determine total quantities that each participant receives; the market manager calculates net sales after the model's solution, based on participants' initial holdings. The gross pool market will tend to be mathematically feasible, but could have an unacceptably high cost in the optimal objective value, should (buy) bids be too low compared to (sell) offers. The difference between these two formulations is only technical, as the market designs are economically equivalent by the
Coase theorem In law and economics, the Coase theorem () describes the Efficiency (economics), economic efficiency of an economic Economic system, allocation or outcome in the presence of externality, externalities. The theorem is significant because, if true, ...
.


See also

*
Mechanism design Mechanism design (sometimes implementation theory or institution design) is a branch of economics and game theory. It studies how to construct rules—called Game form, mechanisms or institutions—that produce good outcomes according to Social ...
*
Market design Market design is an interdisciplinary, ilgrom Nemmers Prize Presentation Slides, 2008 engineering-driven approach to economics and a practical methodology for creation of markets of certain properties, which is partially based on mechanism design. ...


References

{{Reflist Types of auction