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Tullock Contests with Asymmetric Information

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  • Einy, E
  • Haimanko, O
  • Moreno, D
  • Sela, A
  • Shitovitz, B

Abstract

Under standard assumptions about players'cost functions, we show that a Tullock contest with asymmetric information has a pure strategy equilibrium. Next we study Tullock contests in which players have a common value and a common state-independent linear cost function. A two-player contest in which one player has an information advantage has a unique equilibrium. In equilib- rium both players exert the same expected effort, and although the player with an information advantage wins the prize with probability less than one-half, his payoff is greater or equal to that of his opponent. When there are more than two players in the contest, having information advantage leads to higher payoffs, but the other properties of equilibrium no longer hold.
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Suggested Citation

  • Einy, E & Haimanko, O & Moreno, D & Sela, A & Shitovitz, B, 2013. "Tullock Contests with Asymmetric Information," Discussion Papers 2013-11, Graduate School of Economics, Hitotsubashi University.
    • Handle: RePEc:hit:econdp:2013-11
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    File URL: https://hermes-ir.lib.hit-u.ac.jp/hermes/ir/re/25902/070econDP13-11.pdf
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    References listed on IDEAS

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    Cited by:

    1. Ezra Einy & Mridu Prabal Goswami & Ori Haimanko & Ram Orzach & Aner Sela, 2017. "Common-value all-pay auctions with asymmetric information," International Journal of Game Theory, Springer;Game Theory Society, vol. 46(1), pages 79-102, March.
    2. Ezra Einy & Diego Moreno & Benyamin Shitovitz, 2017. "The value of public information in common-value Tullock contests," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 63(4), pages 925-942, April.
    3. Christian Ewerhart & Federico Quartieri, 2020. "Unique equilibrium in contests with incomplete information," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 70(1), pages 243-271, July.
    4. Sharma, Priyanka & Wagman, Liad, 2020. "Advertising and Voter Data in Asymmetric Political Contests," Information Economics and Policy, Elsevier, vol. 52(C).
    5. Alexander Matros & Alex Possajennikov, 2014. "Common Value Allocation Mechanisms with Private Information: Lotteries or Auctions?," Discussion Papers 2014-07, The Centre for Decision Research and Experimental Economics, School of Economics, University of Nottingham.
    6. Ford, Weixing & Lian, Zeng & Lien, Jaimie W. & Zheng, Jie, 2020. "Information sharing in a contest game with group identity," Economics Letters, Elsevier, vol. 189(C).
    7. Sakshi Gupta & Ram Singh, 2018. "On Existence and Properties of Pure-strategy Equilibria under Contests," Working papers 288, Centre for Development Economics, Delhi School of Economics.
    8. Ori Haimanko, 2022. "Equilibrium existence in two-player contests without absolute continuity of information," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 10(1), pages 27-39, May.
    9. Eliaz, Kfir & Forges, Françoise, 2015. "Information disclosure to Cournot duopolists," Economics Letters, Elsevier, vol. 126(C), pages 167-170.
    10. Giebe, Thomas, 2014. "Innovation contests with entry auction," Journal of Mathematical Economics, Elsevier, vol. 55(C), pages 165-176.
    11. Ori Haimanko, 2021. "Bayesian Nash equilibrium existence in (almost continuous) contests," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 71(3), pages 1231-1258, April.
    12. Einy, E. & Haimanko, O. & Moreno, D. & Sela, A. & Shitovitz, B., 2015. "Equilibrium existence in Tullock contests with incomplete information," Journal of Mathematical Economics, Elsevier, vol. 61(C), pages 241-245.

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    More about this item

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

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