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Auction theory is a branch of applied economics that deals with how bidders act in auctions and researches how the features of auctions incentivise predictable outcomes. Auction theory is a tool used to inform the design of real-world auctions. Sellers use auction theory to raise higher revenues while allowing buyers to procure at a lower cost.
The linkage principle is a finding of auction theory. It states that auction houses have an incentive to pre-commit to revealing all available information about each lot, positive or negative. The linkage principle is seen in the art market with the tradition of auctioneers hiring art experts to examine each lot and pre-commit to provide a ...
Vijay Krishna, Auction Theory, Academic Press, 2002. Peter Cramton, Yoav Shoham, Richard Steinberg (Eds), Combinatorial Auctions, MIT Press, 2006, Chapter 1. ISBN 0-262-03342-9. Paul Milgrom, Putting Auction Theory to Work, Cambridge University Press, 2004. Teck Ho, "Consumption and Production" UC Berkeley, Haas Class of 2010.
Milgrom is an expert in game theory, specifically auction theory and pricing strategies. He is the winner of the 2020 Nobel Memorial Prize in Economic Sciences, together with Robert B. Wilson, "for improvements to auction theory and inventions of new auction formats". [2] [3] He is the co-creator of the no-trade theorem with Nancy Stokey.
Vickrey was the first to use the tools of game theory to explain the dynamics of auctions. [5] In his seminal paper, Vickrey derived several auction equilibria, and provided an early revenue-equivalence result. The revenue equivalence theorem remains the centrepiece of modern auction theory. The Vickrey auction is named after him. [5]
The game is a type of bidding fee auction which is a discrete version of the war of attrition. Like these games, the dollar auction has a symmetric mixed strategy equilibrium (there are also asymmetric pure equilibria). Suppose we start with two players; player 1 moves in odd periods, while player 2 moves in even periods.
A VCG mechanism can also be used in a double auction. It is the most general form of incentive-compatible double-auction since it can handle a combinatorial auction with arbitrary value functions on bundles. Unfortunately, it is not budget-balanced: the total value paid by the buyers is smaller than the total value received by the sellers.
A classic example is the pair of auction mechanisms: first price auction and second price auction. First-price auction has a variant which is Bayesian-Nash incentive compatible; second-price auction is dominant-strategy-incentive-compatible, which is even stronger than Bayesian-Nash incentive compatible. The two mechanisms fulfill the ...