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A generalized Tullock contest

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  • Sheremeta, Roman
  • Chowdhury, Subhasish

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 and can be used to analyze new types of contests. We characterize the unique symmetric equilibrium and show that small parameter modifications may lead to substantially different types of contests and hence different equilibrium effort levels.

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Bibliographic Info

Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 52102.

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Date of creation: 2010
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Handle: RePEc:pra:mprapa:52102

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Keywords: rent-seeking; contest; spillover;

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References

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  1. Michael R. Baye & Dan Kovenock & Casper De Vries, 2000. "Comparative Analysis of Litigation Systems: An Auction-Theoretic Approach," CESifo Working Paper Series 373, CESifo Group Munich.
  2. Konrad, Kai A., 2009. "Strategy and Dynamics in Contests," OUP Catalogue, Oxford University Press, number 9780199549603, September.
  3. Sheremeta, Roman M., 2010. "Experimental comparison of multi-stage and one-stage contests," Games and Economic Behavior, Elsevier, vol. 68(2), pages 731-747, March.
  4. Baye, M.R. & Kovenock, D. & De Varies, C.G., 1990. "The All-Pay Auction With Complete Information," Papers 9051, Tilburg - Center for Economic Research.
  5. Herschel I. Grossman & Juan Mendoza, 1999. "Butter and Guns: Complementarity between Economic and Military Competition," Working Papers 99-14, Brown University, Department of Economics.
  6. Baye, Michael R. & Kovenock, Dan & Vries, Casper G. de, 2009. "Contests with rank-order spillovers," Discussion Papers, Research Unit: Market Processes and Governance SP II 2009-09, Social Science Research Center Berlin (WZB).
  7. d'ASPREMONT, Claude & JACQUEMIN, Alexis, . "Cooperative and noncooperative R&D in duopoly with spillovers," CORE Discussion Papers RP -823, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  8. Christian Riis & Derek J. Clark, 1997. "Contest success functions: an extension," Economic Theory, Springer, vol. 11(1), pages 201-204.
  9. Kamien, Morton I & Muller, Eitan & Zang, Israel, 1992. "Research Joint Ventures and R&D Cartels," American Economic Review, American Economic Association, vol. 82(5), pages 1293-306, December.
  10. Sheremeta, Roman, 2009. "Contest Design: An Experimental Investigation," MPRA Paper 52101, University Library of Munich, Germany.
  11. Alexander Matros & Daniel Armanios, 2009. "Tullock’s contest with reimbursements," Public Choice, Springer, vol. 141(1), pages 49-63, October.
  12. Farmer, Amy & Pecorino, Paul, 1999. " Legal Expenditure as a Rent-Seeking Game," Public Choice, Springer, vol. 100(3-4), pages 271-88, September.
  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. Todd Kaplan, 2001. "All-Pay Auctions with Variable Rewards," Discussion Papers 0109, Exeter University, Department of Economics.
  15. Skaperdas, Stergios, 1996. "Contest Success Functions," Economic Theory, Springer, vol. 7(2), pages 283-90, February.
  16. Skaperdas, S., 1991. "Cooperation, Conflict And Power In The Absence Of Property Rights," Papers 90-91-06a, California Irvine - School of Social Sciences.
  17. 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.
  18. Amegashie, J Atsu, 1999. " The Number of Rent-Seekers and Aggregate Rent-Seeking Expenditures: An Unpleasant Result," Public Choice, Springer, vol. 99(1-2), pages 57-62, April.
  19. Lee, Sanghack & Hyeong Kang, J., 1998. "Collective contests with externalities," European Journal of Political Economy, Elsevier, vol. 14(4), pages 727-738, November.
  20. Skaperdas, Stergios & Gan, Li, 1995. "Risk Aversion in Contests," Economic Journal, Royal Economic Society, vol. 105(431), pages 951-62, July.
  21. Glazer, A. & Konrad, K.A., 1997. "Taxation of Rent-Seeking Activities," Papers 97-98-04, California Irvine - School of Social Sciences.
  22. Cohen, Chen & Sela, Aner, 2005. "Manipulations in contests," Economics Letters, Elsevier, vol. 86(1), pages 135-139, January.
  23. Chung, Tai-Yeong, 1996. " Rent-Seeking Contest When the Prize Increases with Aggregate Efforts," Public Choice, Springer, vol. 87(1-2), pages 55-66, April.
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Citations

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Cited by:
  1. 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..
  2. Subhashish Modak Chowdhury & Roman M. Sheremeta, 2010. "Multiple equilibria in Tullock contests," Working Paper series, University of East Anglia, Centre for Behavioural and Experimental Social Science (CBESS) 10-12, School of Economics, University of East Anglia, Norwich, UK..
  3. Lacomba, Juan A. & Lagos, Francisco & Reuben, Ernesto & van Winden, Frans, 2014. "On the escalation and de-escalation of conflict," Games and Economic Behavior, Elsevier, vol. 86(C), pages 40-57.
  4. 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.
  5. Gregor, Martin, 2012. "Contest for power in organizations," Economics Letters, Elsevier, vol. 114(3), pages 280-283.
  6. Christian Rusche, 2011. "Does Delegation Help to Prevent Spiteful Behavior?," Ruhr Economic Papers 0270, Rheinisch-Westfälisches Institut für Wirtschaftsforschung, Ruhr-Universität Bochum, Universität Dortmund, Universität Duisburg-Essen.
  7. XiaoGang Che & Brad Humphreys, 2014. "Contests with a Prize Externality and Stochastic Entry," Working Papers 14-19, Department of Economics, West Virginia University.

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