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Continuity And Robustness Of Bayesian Equilibria In Tullock Contests

Author

Listed:
  • Ezra Einy

    (BGU)

  • Diego Moreno

    (Departamento de Economia, Universidad Carlos III de Madrid)

  • Aner Sela

    (BGU)

Abstract

We study the continuity and robustness of the Bayesian equilibria of Tullock contests with incomplete information. We show that the Bayesian equilibrium correspondence is upper semicontinuous. We identify conditions under which the Bayesian equilibrium correspondence of Tullock contests with a unique equilibrium is also lower semicontinous. Furthermore, when the Bayesian equilibrium is unique, it is robust to small perturbations of the contest's attributes (the contest success function, and the players' information, value for the prize, and cost of effort).
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • Ezra Einy & Diego Moreno & Aner Sela, 2020. "Continuity And Robustness Of Bayesian Equilibria In Tullock Contests," Working Papers 2003, Ben-Gurion University of the Negev, Department of Economics.
  • Handle: RePEc:bgu:wpaper:2003
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    References listed on IDEAS

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    1. 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.
    2. Carlsson, Hans & van Damme, Eric, 1993. "Global Games and Equilibrium Selection," Econometrica, Econometric Society, vol. 61(5), pages 989-1018, September.
    3. Aiche, Avishay & Einy, Ezra & Haimanko, Ori & Moreno, Diego & Sela, Aner & Shitovitz, Benyamin, 2018. "Tullock contests reward information advantages," Economics Letters, Elsevier, vol. 172(C), pages 34-36.
    4. 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.
    5. Stergios Skaperdas, 1996. "Contest success functions (*)," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 7(2), pages 283-290.
    6. Chowdhury, Subhasish M. & Sheremeta, Roman M., 2011. "Multiple equilibria in Tullock contests," Economics Letters, Elsevier, vol. 112(2), pages 216-219, August.
    7. Cotter, Kevin D., 1991. "Similarity of games with incomplete information," Journal of Mathematical Economics, Elsevier, vol. 20(5), pages 501-520.
    8. Paul R. Milgrom & Robert J. Weber, 1985. "Distributional Strategies for Games with Incomplete Information," Mathematics of Operations Research, INFORMS, vol. 10(4), pages 619-632, November.
    9. A. Aiche & E. Einy & O. Haimanko & D. Moreno & A. Sela & B. Shitovitz, 2019. "Information in Tullock contests," Theory and Decision, Springer, vol. 86(3), pages 303-323, May.
    10. Atsushi Kajii & Stephen Morris, 1997. "The Robustness of Equilibria to Incomplete Information," Econometrica, Econometric Society, vol. 65(6), pages 1283-1310, November.
    11. Richard Cornes & Roger Hartley, 2005. "Asymmetric contests with general technologies," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 26(4), pages 923-946, November.
    12. 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.
    13. Cédric Wasser, 2013. "Incomplete information in rent-seeking contests," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 53(1), pages 239-268, May.
    14. Qiang Fu & Jingfeng Lu, 2012. "The optimal multi-stage contest," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 51(2), pages 351-382, October.
    15. Ezra Einy & Ori Haimanko & Diego Moreno & Benyamin Shitovitz, 2008. "Uniform Continuity of the Value of Zero-Sum Games with Differential Information," Mathematics of Operations Research, INFORMS, vol. 33(3), pages 552-560, August.
    16. Ezra Einy & Ori Haimanko & Diego Moreno & Benyamin Shitovitz, 2005. "On the continuity of equilibrium and core correspondences in economies with differential information," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 26(4), pages 793-812, November.
    17. Qiang Fu & Jingfeng Lu & Yue Pan, 2015. "Team Contests with Multiple Pairwise Battles," American Economic Review, American Economic Association, vol. 105(7), pages 2120-2140, July.
    18. Szidarovszky, Ferenc & Okuguchi, Koji, 1997. "On the Existence and Uniqueness of Pure Nash Equilibrium in Rent-Seeking Games," Games and Economic Behavior, Elsevier, vol. 18(1), pages 135-140, January.
    19. Dov Monderer & Dov Samet, 1996. "Proximity of Information in Games with Incomplete Information," Mathematics of Operations Research, INFORMS, vol. 21(3), pages 707-725, August.
    20. Takeshi Yamazaki, 2008. "On the Existence and Uniqueness of Pure‐Strategy Nash Equilibrium in Asymmetric Rent‐Seeking Contests," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 10(2), pages 317-327, April.
    21. Nitzan, Shmuel, 1994. "Modelling rent-seeking contests," European Journal of Political Economy, Elsevier, vol. 10(1), pages 41-60, May.
    22. Baye, Michael R. & Hoppe, Heidrun C., 2003. "The strategic equivalence of rent-seeking, innovation, and patent-race games," Games and Economic Behavior, Elsevier, vol. 44(2), pages 217-226, August.
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    More about this item

    Keywords

    Tullock Contests; Incomplete Information; Robustness of Equilibria;
    All these keywords.

    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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