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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. In an all-pay auction, the Nash Equilibrium is such that each bidder plays a mixed strategy and their expected pay-off is zero. 〔Jehiel P, Moldovanu B (2006) Allocative and informational externalities in auctions and related mechanisms. In: Blundell R, Newey WK, Persson T (eds) Advances in Economics and Econometrics: Volume 1: Theory and Applications, Ninth World Congress, vol 1, Cambridge University Press, chap 3〕 The seller's expected revenue is equal to the value of the prize. However, some experiments have shown that over-bidding is common. That is, the seller's revenue frequently exceeds that of the value of the prize, and in repeated games even bidders that win the prize frequently will most likely make a loss in the long run.〔 Gneezy and Smorodinsky (2006), ''All-pay auctions - An experimental study'', Journal of Economic Behavior & Organization, Vol 61, pp. 255–275 〕 ==Forms of all-pay auctions== The most straightforward form of an all-pay auction is a Tullock auction, sometimes called a Tullock lottery, in which everyone submits a bid but both the losers and the winners pay their submitted bids. This is instrumental in describing certain ideas in public choice economics. The dollar auction is a two player Tullock auction, or a multiplayer game in which only the two highest bidders pay their bids. A conventional lottery or raffle can also be seen as a related process, since all ticket-holders have paid but only one gets the prize. Commonplace practical examples of all-pay auctions can be found on several "penny auction"/bidding fee auction websites. Other forms of all-pay auctions exist, such as a war of attrition (also known as biological auctions〔 Chatterjee, Reiter, and Nowak (2012), ''Evolutionary Dynamics of Biological Auctions'', Theoretical Population Biology, Vol 81, pp. 69–80 〕), in which the highest bidder wins, but all (or more typically, both) bidders pay only the lower bid. The war of attrition is used by biologists to model conventional contests, or agonistic interactions resolved without recourse to physical aggression. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「All-pay auction」の詳細全文を読む スポンサード リンク
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