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Best-of-Three All-Pay Auctions

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  • Sela, Aner

Abstract

We study a three-stage all-pay auction with two players in which the first player to win two matches wins the best-of-three all-pay auction. The players have values of winning the contest and may have also values of losing, the latter depending on the stage in which the contest is decided. It is shown that without values of losing, if players are heterogenous (they have different values) the best-of-three all-pay auction is less competitive (the difference between the players' probabilities to win is larger) as well as less productive (the players' total expected effort is smaller) than the one-stage all-pay auction. If players are homogenous, however, the productivity and obviously the competitiveness of the best-of-three all-pay auction and the one-stage all-pay auction are identical. These results hold even if players have values of losing that do not depend on the stage in which the contest is decided. However, the best-of-three all-pay auction with different values of losing over the contest's stages may be more productive than the one-stage all-pay auction.

Suggested Citation

  • Sela, Aner, 2009. "Best-of-Three All-Pay Auctions," CEPR Discussion Papers 7224, C.E.P.R. Discussion Papers.
  • Handle: RePEc:cpr:ceprdp:7224
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    References listed on IDEAS

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    1. Benny Moldovanu & Aner Sela, 2001. "The Optimal Allocation of Prizes in Contests," American Economic Review, American Economic Association, pages 542-558.
    2. Michael R. Baye & Dan Kovenock & Casper G. de Vries, 2009. "Contests with Rank-Order Spillovers," Tinbergen Institute Discussion Papers 09-066/2, Tinbergen Institute.
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    More about this item

    Keywords

    All-pay auctions; Contests;

    JEL classification:

    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions
    • D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior

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