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A generalized Tullock contest and the existence of multiple equilibria

Author

Listed:
  • Subhashish Modak Chowdhury

    (University of East Anglia)

  • Roman M. Sheremeta

    (Chapman University)

Abstract

We construct a generalized Tullock contest under complete information where contingent upon winning or losing, the payoff of a player is a linear function of prizes, own effort, and the effort of the rival. This structure nests a number of existing contests in the literature. We characterize the equilibria and show that multiple equilibria might exist even under symmetric prize values. Finally, we introduce and characterize several new contests in which multiple equilibria may arise under very general conditions.

Suggested Citation

  • Subhashish Modak Chowdhury & Roman M. Sheremeta, 2009. "A generalized Tullock contest and the existence of multiple equilibria," Working Paper series, University of East Anglia, Centre for Behavioural and Experimental Social Science (CBESS) 09-08, School of Economics, University of East Anglia, Norwich, UK..
    • Handle: RePEc:uea:wcbess:09-08
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    References listed on IDEAS

    as
    1. Kaplan, Todd, et al, 2002. "All-Pay Auctions with Variable Rewards," Journal of Industrial Economics, Wiley Blackwell, vol. 50(4), pages 417-430, December.
    2. Konrad, Kai A., 2009. "Strategy and Dynamics in Contests," OUP Catalogue, Oxford University Press, number 9780199549603.
    3. Michael R. Baye & Dan Kovenock & Casper G. Vries, 2005. "Comparative Analysis of Litigation Systems: An Auction-Theoretic Approach," Economic Journal, Royal Economic Society, vol. 115(505), pages 583-601, July.
    4. Michael Baye & Dan Kovenock & Casper Vries, 2012. "Contests with rank-order spillovers," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 51(2), pages 315-350, October.
    5. Skaperdas, Stergios, 1992. "Cooperation, Conflict, and Power in the Absence of Property Rights," American Economic Review, American Economic Association, vol. 82(4), pages 720-739, September.
    6. Dan Kovenock & Michael R. Baye & Casper G. de Vries, 1996. "The all-pay auction with complete information (*)," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 8(2), pages 291-305.
    7. Lee, Sanghack & Hyeong Kang, J., 1998. "Collective contests with externalities," European Journal of Political Economy, Elsevier, vol. 14(4), pages 727-738, November.
    8. Stergios Skaperdas, 1996. "Contest success functions (*)," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 7(2), pages 283-290.
    9. Herschel I. Grossman & Juan Mendoza, 2001. "Butter and guns: Complementarity between economic and military competition," Economics of Governance, Springer, vol. 2(1), pages 25-33, March.
    10. Skaperdas, Stergios & Gan, Li, 1995. "Risk Aversion in Contests," Economic Journal, Royal Economic Society, vol. 105(431), pages 951-962, July.
    11. Michelle R. Garfinkel & Stergios Skaperdas, 2000. "Conflict without Misperceptions or Incomplete Information," Journal of Conflict Resolution, Peace Science Society (International), vol. 44(6), pages 793-807, December.
    12. Gurtler, Oliver, 2005. "Collective contests with externalities: corrigendum," European Journal of Political Economy, Elsevier, vol. 21(2), pages 533-536, June.
    13. Garfinkel, M.R. & Skaperdas, S., 2000. "Conflict without Misperceptions or Incomplete Information: how the Future Matters," Papers 99-00-11, California Irvine - School of Social Sciences.
    14. 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.
    15. Matros, Alexander, 2012. "Sad-Loser contests," Journal of Mathematical Economics, Elsevier, vol. 48(3), pages 155-162.
    16. Kooreman, Peter & Schoonbeek, Lambert, 1997. "The specification of the probability functions in Tullock's rent-seeking contest," Economics Letters, Elsevier, vol. 56(1), pages 59-61, September.
    17. 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.
    18. Cohen, Chen & Sela, Aner, 2005. "Manipulations in contests," Economics Letters, Elsevier, vol. 86(1), pages 135-139, January.
    19. Ayse Öncüler & Rachel Croson, 2005. "Rent-Seeking for a Risky Rent," Journal of Theoretical Politics, , vol. 17(4), pages 403-429, October.
    20. 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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    Cited by:

    1. Gill, David & Stone, Rebecca, 2009. "Fairness and desert in tournaments," Discussion Paper Series In Economics And Econometrics 0903, Economics Division, School of Social Sciences, University of Southampton.
    2. Gill, David & Stone, Rebecca, 2009. "Fairness and desert in tournaments," Discussion Paper Series In Economics And Econometrics 903, Economics Division, School of Social Sciences, University of Southampton.
    3. Subhashish Modak Chowdhury & Roman M. Sheremeta, 2009. "The equivalence of contests," Working Paper series, University of East Anglia, Centre for Behavioural and Experimental Social Science (CBESS) 09-06, School of Economics, University of East Anglia, Norwich, UK..
    4. Gill, David & Stone, Rebecca, 2010. "Fairness and desert in tournaments," Games and Economic Behavior, Elsevier, vol. 69(2), pages 346-364, July.

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    More about this item

    Keywords

    rent-seeking; contest; spillover; multiple equilibria;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior
    • D74 - Microeconomics - - Analysis of Collective Decision-Making - - - Conflict; Conflict Resolution; Alliances; Revolutions

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