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The All-Pay Auction with Complete Information and Identity-Dependent Externalities

Author

Listed:
  • Bettina Klose

    (Department of Economics, University of Zurich)

  • Dan Kovenock

    (Economic Science Institute, Chapman University)

Abstract

We derive a necessary and sufficient condition for the existence of equilibria with only two active players in the all-pay auction with complete information and identity-dependent externalities. This condition shows that the generic equilibrium of the standard all-pay auction is robust to the introduction of "small" identity-dependent externalities. In general, however, the presence of identity-dependent externalities invalidates well-established qualitative results concerning the set of equilibria of the first-price all-pay auction with complete information. With identity-dependent externalities equilibria are generally not payoff equivalent, and identical players may earn different payoffs in equilibrium. These observations show that Siegel’s (2009) results characterizing the set of equilibrium payoffs in all-pay contests, including the all-pay auction as a special case, do not extend to environments with identity-dependent externalities. We further compare the all-pay auction with identity-dependent externalities to the first-price winner-pay auction with identity-dependent externalities. We demonstrate that the equilibrium payoffs of the all-pay auction and winner-pay auction cannot be ranked unambiguously in the presence of identity-dependent externalities by providing examples of environments where equilibrium payoffs in the all-pay auction dominate those in the winner-pay auction and vice versa.

Suggested Citation

  • Bettina Klose & Dan Kovenock, 2013. "The All-Pay Auction with Complete Information and Identity-Dependent Externalities," Working Papers 13-10, Chapman University, Economic Science Institute.
  • Handle: RePEc:chu:wpaper:13-10
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    References listed on IDEAS

    as
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    Citations

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    Cited by:

    1. Prokopovych, Pavlo & Yannelis, Nicholas C., 2014. "On the existence of mixed strategy Nash equilibria," Journal of Mathematical Economics, Elsevier, vol. 52(C), pages 87-97.
    2. Casella, Alessandra & Turban, Sébastien, 2014. "Democracy undone. Systematic minority advantage in competitive vote markets," Games and Economic Behavior, Elsevier, vol. 88(C), pages 47-70.
    3. He, Wei & Yannelis, Nicholas C., 2016. "Existence of equilibria in discontinuous Bayesian games," Journal of Economic Theory, Elsevier, vol. 162(C), pages 181-194.
    4. Ewerhart, Christian, 2017. "Contests with small noise and the robustness of the all-pay auction," Games and Economic Behavior, Elsevier, vol. 105(C), pages 195-211.
    5. Stefano Barbieri & David Malueg & Iryna Topolyan, 2014. "The best-shot all-pay (group) auction with complete information," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 57(3), pages 603-640, November.
    6. Thomas Giebe & Paul Schweinzer, "undated". "All-pay aspects of decision making under public scrutiny," Discussion Papers 11/27, Department of Economics, University of York.
    7. Thomas Giebe & Paul Schweinzer, 2014. "All-pay-all aspects of political decision making," Public Choice, Springer, vol. 161(1), pages 73-90, October.
    8. repec:eee:jeborg:v:150:y:2018:i:c:p:404-422 is not listed on IDEAS
    9. Rentschler, Lucas & Turocy, Theodore L., 2016. "Two-bidder all-pay auctions with interdependent valuations, including the highly competitive case," Journal of Economic Theory, Elsevier, vol. 163(C), pages 435-466.

    More about this item

    Keywords

    All-pay auction; Identity-dependent externalities; Payoff nonequivalence; political conflict;

    JEL classification:

    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions
    • D62 - Microeconomics - - Welfare Economics - - - Externalities
    • D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

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