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The optimal prize structure of symmetric Tullock contests

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  • Schweinzer, Paul
  • Segev, Ella

Abstract

We show that the optimal prize structure of symmetric n-player Tullock tournaments assigns the entire prize pool to the winner, provided that a symmetric pure strategy equilibrium exists. If such an equilibrium fails to exist under the winner-take-all structure, we construct the optimal prize structure which improves existence conditions by dampening efforts. If no such optimal equilibrium exists, no symmetric pure strategy equilibrium induces positive efforts.

Suggested Citation

  • Schweinzer, Paul & Segev, Ella, 2008. "The optimal prize structure of symmetric Tullock contests," Discussion Paper Series of SFB/TR 15 Governance and the Efficiency of Economic Systems 250, Free University of Berlin, Humboldt University of Berlin, University of Bonn, University of Mannheim, University of Munich.
  • Handle: RePEc:trf:wpaper:250
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    References listed on IDEAS

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    1. Benny Moldovanu & Aner Sela, 2001. "The Optimal Allocation of Prizes in Contests," American Economic Review, American Economic Association, vol. 91(3), pages 542-558, June.
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    12. Clark, Derek J. & Riis, Christian, 1998. "Influence and the discretionary allocation of several prizes," European Journal of Political Economy, Elsevier, vol. 14(4), pages 605-625, November.
    13. Baye, M.R. & Kovenock, D. & De Vries, C.G., 1993. "The Solution to the Tullock Rent-Seeking Game when R > 2: Mixed Strategy Equilibria and Mean Dissipation Rates," Papers 10-93-9, Pennsylvania State - Department of Economics.
    14. 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.
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    16. Clark, Derek J & Riis, Christian, 1998. "Competition over More Than One Prize," American Economic Review, American Economic Association, vol. 88(1), pages 276-289, March.
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    Citations

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    Cited by:

    1. Netanel Nissim & Aner Sela, 2017. "The Third Place Game," Working Papers 1709, Ben-Gurion University of the Negev, Department of Economics.
    2. repec:eee:jeborg:v:139:y:2017:i:c:p:32-48 is not listed on IDEAS
    3. Giebe, Thomas, 2014. "Innovation contests with entry auction," Journal of Mathematical Economics, Elsevier, vol. 55(C), pages 165-176.
    4. Ezra Einy & Ori Haimanko & Diego Moreno & Aner Sela & Benyamin Shitovitz, 2013. "Tullock Contests With Asymmetric Information," Working Papers 1303, Ben-Gurion University of the Negev, Department of Economics.
    5. Megidish, Reut & Sela, Aner, 2009. "Allocation of Prizes in Contests with Participation Constraints," CEPR Discussion Papers 7580, C.E.P.R. Discussion Papers.
    6. Giebe, Thomas & Schweinzer, Paul, 2014. "Consuming your way to efficiency: Public goods provision through non-distortionary tax lotteries," European Journal of Political Economy, Elsevier, vol. 36(C), pages 1-12.
    7. repec:shn:wpaper:2014-02 is not listed on IDEAS
    8. Loukas Balafoutas & E. Glenn Dutcher & Florian Lindner & Dmitry Ryvkin, 2017. "The Optimal Allocation Of Prizes In Tournaments Of Heterogeneous Agents," Economic Inquiry, Western Economic Association International, vol. 55(1), pages 461-478, January.
    9. Aner Sela & Maya Amiad, 2016. "The Optimal Allocation Of Punishments In Tullock Contests," Working Papers 1613, Ben-Gurion University of the Negev, Department of Economics.
    10. A. Aiche & Ezra Einy & Aner Sela & Ori Haimanko & Diego Moreno & B. Shitovitz, 2017. "Information In Tullock Contests," Working Papers 1710, Ben-Gurion University of the Negev, Department of Economics.
    11. St-Pierre, Marc, 2016. "The role of inequality on effort in tournaments," Mathematical Social Sciences, Elsevier, vol. 81(C), pages 38-52.
    12. Klein, Arnd Heinrich & Schmutzler, Armin, 2017. "Optimal effort incentives in dynamic tournaments," Games and Economic Behavior, Elsevier, vol. 103(C), pages 199-224.
    13. Lu, Jingfeng & Wang, Zhewei, 2015. "Axiomatizing multi-prize nested lottery contests: A complete and strict ranking perspective," Journal of Economic Behavior & Organization, Elsevier, vol. 116(C), pages 127-141.
    14. Jingfeng Lu & Zhewei Wang, 2016. "Axiomatization of reverse nested lottery contests," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 47(4), pages 939-957, December.
    15. Christian Ewerhart, 2015. "Mixed equilibria in Tullock contests," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 60(1), pages 59-71, September.
    16. Olivier Bos & Béatrice Roussillon & Paul Schweinzer, 2016. "Agreeing on Efficient Emissions Reduction," Scandinavian Journal of Economics, Wiley Blackwell, vol. 118(4), pages 785-815, October.
    17. Aner Sela & Noam Cohen & Maor Guy, 2016. "Two-Stage Elimination Contests with Optimal Head Starts," Working Papers 1611, Ben-Gurion University of the Negev, Department of Economics.
    18. Aner Sela & Ezra Einy & 0ri Haimanko & Diego Moreno & Avishay Aiche & Benyamin Shitovitz, 2016. "Information Advantage in Common-Value Classic Tullock Contests," Working Papers 1614, Ben-Gurion University of the Negev, Department of Economics.
    19. Sela, Aner, 2016. "The Optimal Allocation of Punishments in Tullock Contests," CEPR Discussion Papers 11592, C.E.P.R. Discussion Papers.
    20. repec:eee:mateco:v:72:y:2017:i:c:p:25-35 is not listed on IDEAS
    21. Drugov, Mikhail & Ryvkin, Dmitry, 2017. "Optimal Tournaments," CEPR Discussion Papers 12368, C.E.P.R. Discussion Papers.
    22. Fu, Qiang & Lu, Jingfeng & Wang, Zhewei, 2014. "“Reverse” nested lottery contests," Journal of Mathematical Economics, Elsevier, vol. 50(C), pages 128-140.
    23. Alberto Vesperoni, 2016. "A contest success function for rankings," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 47(4), pages 905-937, December.

    More about this item

    Keywords

    Tournaments; Incentive structures; Rent seeking;

    JEL classification:

    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
    • D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior
    • J31 - Labor and Demographic Economics - - Wages, Compensation, and Labor Costs - - - Wage Level and Structure; Wage Differentials

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