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Best-Of-Three All-Pay Auctions

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  • Aner Sela

    () (Dept. of Economics, Ben-Gurion University of the Negev)

Abstract

We study a three-stage all-pay auction with two players in which the ?rst 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 di¤erent values) the best-of-three all-pay auction is less competitive (the di¤erence between the players?probabilities to win is larger) as well as less productive (the players?total expected e¤ort 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 di¤erent values of losing over the contest?s stages may be more productive than the one-stage all-pay auction.

Suggested Citation

  • Aner Sela, 2009. "Best-Of-Three All-Pay Auctions," Working Papers 0901, Ben-Gurion University of the Negev, Department of Economics.
  • Handle: RePEc:bgu:wpaper:0901
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