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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.
Revenue equivalence is a concept in auction theory that states that given certain conditions, any mechanism that results in the same outcomes (i.e. allocates items to the same bidders) also has the same expected revenue.
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. [1] Participants bid openly against one another, with each subsequent bid being higher than the previous bid. [2]
The most straightforward form of an all-pay auction is a Tullock auction, sometimes called a Tullock lottery after Gordon Tullock, in which everyone submits a bid but both the losers and the winners pay their submitted bids. [5] This is instrumental in describing certain ideas in public choice economics. [citation needed]
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. [4] Vickrey auctions are much studied in economic literature but uncommon in practice.
Early research on auctions focused on two special cases: common value auctions in which buyers have private signals of an items true value and private value auctions in which values are identically and independently distributed. Milgrom and Weber (1982) present a much more general theory of auctions with positively related values.
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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]