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The optimal prize structure of symmetric Tullock contests

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  • Paul Schweinzer
  • Ella Segev

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. Copyright Springer Science+Business Media, LLC 2012

Suggested Citation

  • Paul Schweinzer & Ella Segev, 2012. "The optimal prize structure of symmetric Tullock contests," Public Choice, Springer, vol. 153(1), pages 69-82, October.
  • Handle: RePEc:kap:pubcho:v:153:y:2012:i:1:p:69-82
    DOI: 10.1007/s11127-011-9774-2
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    References listed on IDEAS

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    4. Fu, Qiang & Lu, Jingfeng, 2007. "Unifying Contests: from Noisy Ranking to Ratio-Form Contest Success Functions," MPRA Paper 6679, University Library of Munich, Germany.
    5. Szymanski, Stefan & Valletti, Tommaso M., 2005. "Incentive effects of second prizes," European Journal of Political Economy, Elsevier, vol. 21(2), pages 467-481, June.
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    More about this item

    Keywords

    Tournaments; Incentive structures; Rent seeking; C7; D72; J31;
    All these keywords.

    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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