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The optimal prize structure of symmetric Tullock contests

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  • Paul Schweinzer

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  • 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

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File URL: http://hdl.handle.net/10.1007/s11127-011-9774-2
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Bibliographic Info

Article provided by Springer in its journal Public Choice.

Volume (Year): 153 (2012)
Issue (Month): 1 (October)
Pages: 69-82

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Handle: RePEc:kap:pubcho:v:153:y:2012:i:1:p:69-82

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Web page: http://www.springerlink.com/link.asp?id=100332

Related research

Keywords: Tournaments; Incentive structures; Rent seeking; C7; D72; J31;

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References

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  1. Clark, Derek J & Riis, Christian, 1996. " A Multi-winner Nested Rent-Seeking Contest," Public Choice, Springer, vol. 87(1-2), pages 177-84, April.
  2. Michael R. Baye & Dan Kovenock & Casper G. de Vries, 1997. "The Incidence of Overdissipation in Rent-Seeking Contests," Tinbergen Institute Discussion Papers 97-045/2, Tinbergen Institute.
  3. Moldovanu, Benny & Sela, Aner, 1999. "The Optimal Allocation of Prizes in Contests," Sonderforschungsbereich 504 Publications 99-75, Sonderforschungsbereich 504, Universität Mannheim;Sonderforschungsbereich 504, University of Mannheim.
  4. 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.
  5. Hao Jia, 2008. "A stochastic derivation of the ratio form of contest success functions," Public Choice, Springer, vol. 135(3), pages 125-130, June.
  6. Alcalde, José & Dahm, Matthias, 2010. "Rent seeking and rent dissipation: A neutrality result," Journal of Public Economics, Elsevier, vol. 94(1-2), pages 1-7, February.
  7. 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," Purdue University Economics Working Papers 1039, Purdue University, Department of Economics.
  8. Gershkov, Alex & Perry, Motty, 2006. "Tournaments with Midterm Reviews," Discussion Paper Series of SFB/TR 15 Governance and the Efficiency of Economic Systems 145, Free University of Berlin, Humboldt University of Berlin, University of Bonn, University of Mannheim, University of Munich.
  9. Baye, M.R. & Kovenock, D., 1993. "The Solution of the Tullock Rent-Seeking Game when R > 2 : Mixed-Strategy Equilibria and Mean Dissipation Rates," Discussion Paper 1993-68, Tilburg University, Center for Economic Research.
  10. Clark, Derek J & Riis, Christian, 1998. "Competition over More Than One Prize," American Economic Review, American Economic Association, vol. 88(1), pages 276-89, March.
  11. Richard Cornes & Roger Hartley, 2002. "Asymmetric Contests with General Technologies," Keele Economics Research Papers KERP 2002/22, Centre for Economic Research, Keele University.
  12. Fu, Qiang & Lu, Jingfeng, 2009. "The beauty of "bigness": On optimal design of multi-winner contests," Games and Economic Behavior, Elsevier, vol. 66(1), pages 146-161, May.
  13. Barut, Yasar & Kovenock, Dan, 1998. "The symmetric multiple prize all-pay auction with complete information," European Journal of Political Economy, Elsevier, vol. 14(4), pages 627-644, November.
  14. Ron Siegel, 2009. "All-Pay Contests," Econometrica, Econometric Society, vol. 77(1), pages 71-92, 01.
  15. Stergios Skaperdas, 1996. "Contest success functions (*)," Economic Theory, Springer, vol. 7(2), pages 283-290.
  16. Szymanski, Stefan & Valletti, Tommaso M., 2005. "Incentive effects of second prizes," European Journal of Political Economy, Elsevier, vol. 21(2), pages 467-481, June.
  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.
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Citations

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Cited by:
  1. Olivier Bos & Béatrice Roussillon & Paul Schweinzer, 2013. "Agreeing on Efficient Emissions Reduction," CESifo Working Paper Series 4345, CESifo Group Munich.
  2. Thomas Giebe & Paul Schweinzer, 2013. "Consuming your Way to Efficiency: Public Goods Provision through Non-Distortionary Tax Lotteries," CESifo Working Paper Series 4228, CESifo Group Munich.
  3. 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.
  4. Qiang Fu & Jingfeng Lu & Zhewei Wang, 2013. ""Reverse" Nested Lottery Contests," SDU Working Papers 2013-02, School of Economics, Shandong University.
  5. Jingfeng Lu & Zhewei Wang, 2014. "Axiomatizing Multi-Prize Contests: A Perspective from Complete Ranking of Players," SDU Working Papers 2014-02, School of Economics, Shandong University.
  6. 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.
  7. Megidish, Reut & Sela, Aner, 2009. "Allocation of Prizes in Contests with Participation Constraints," CEPR Discussion Papers 7580, C.E.P.R. Discussion Papers.
  8. Ezra Einy & Ori Haimanko & Diego Moreno & A. Sela & Benyamin Shitovitz, 2013. "Tullock contests with asymmetric information," Economics Working Papers we1314, Universidad Carlos III, Departamento de Economía.
  9. Giebe, Thomas, 2010. "Innovation Contests with Entry Auction," Discussion Paper Series of SFB/TR 15 Governance and the Efficiency of Economic Systems 307, Free University of Berlin, Humboldt University of Berlin, University of Bonn, University of Mannheim, University of Munich.
  10. Christian Ewerhart, 2014. "Mixed equilibria in Tullock contests," ECON - Working Papers 143, Department of Economics - University of Zurich.

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