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A generalized Tullock contest

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  • Subhasish M. Chowdhury

    ()
    (School of Economics, University of East Anglia)

  • Roman M. Sheremeta

    ()
    (Argyros School of Business and Economics, 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 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 Chapman University, Economic Science Institute in its series Working Papers with number 10-08.

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Length: 14 pages
Date of creation: Mar 2010
Date of revision:
Handle: RePEc:chu:wpaper:10-08

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Keywords: rent-seeking; contest; spillover;

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References

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  1. 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.
  2. Baye, M.R. & Kovenock, D. & De Varies, C.G., 1990. "The All-Pay Auction With Complete Information," Papers 9051, Tilburg - Center for Economic Research.
  3. Todd Kaplan, 2001. "All-Pay Auctions with Variable Rewards," Discussion Papers 0109, Exeter University, Department of Economics.
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  6. Roman M. Sheremeta, 2009. "Experimental Comparison of Multi-Stage and One-Stage Contests," Working Papers 09-04, Chapman University, Economic Science Institute.
  7. Alexander Matros & Daniel Armanios, 2007. "Tullock's Contest with Reimbursements," Working Papers 328, University of Pittsburgh, Department of Economics, revised Sep 2008.
  8. Christian Riis & Derek J. Clark, 1997. "Contest success functions: an extension," Economic Theory, Springer, vol. 11(1), pages 201-204.
  9. Konrad, Kai A., 2009. "Strategy and Dynamics in Contests," OUP Catalogue, Oxford University Press, number 9780199549603.
  10. Farmer, Amy & Pecorino, Paul, 1999. " Legal Expenditure as a Rent-Seeking Game," Public Choice, Springer, vol. 100(3-4), pages 271-88, September.
  11. Skaperdas, Stergios, 1996. "Contest Success Functions," Economic Theory, Springer, vol. 7(2), pages 283-90, February.
  12. 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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  15. Roman M. Sheremeta, 2011. "Contest Design: An Experimental Investigation," Economic Inquiry, Western Economic Association International, vol. 49(2), pages 573-590, 04.
  16. Skaperdas, Stergios, 1992. "Cooperation, Conflict, and Power in the Absence of Property Rights," American Economic Review, American Economic Association, vol. 82(4), pages 720-39, September.
  17. 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.
  18. Michael Baye & Dan Kovenock & Casper Vries, 2012. "Contests with rank-order spillovers," Economic Theory, Springer, vol. 51(2), pages 315-350, October.
  19. d'Aspremont, Claude & Jacquemin, Alexis, 1988. "Cooperative and Noncooperative R&D in Duopoly with Spillovers," American Economic Review, American Economic Association, vol. 78(5), pages 1133-37, December.
  20. Lee, Sanghack & Hyeong Kang, J., 1998. "Collective contests with externalities," European Journal of Political Economy, Elsevier, vol. 14(4), pages 727-738, November.
  21. 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.
  22. 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.
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Cited by:
  1. 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.
  2. Gill, David & Stone, Rebecca, 2010. "Fairness and desert in tournaments," Games and Economic Behavior, Elsevier, vol. 69(2), pages 346-364, July.
  3. Lacomba, Juan A. & Lagos, Francisco & Reuben, Ernesto & van Winden, Frans, 2013. "On the Escalation and De-Escalation of Conflict," IZA Discussion Papers 7492, Institute for the Study of Labor (IZA).
  4. 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..
  5. Chowdhury, Subhasish & Sheremeta, Roman, 2011. "Multiple Equilibria in Tullock Contests," MPRA Paper 52104, University Library of Munich, Germany.
  6. Gregor, Martin, 2012. "Contest for power in organizations," Economics Letters, Elsevier, vol. 114(3), pages 280-283.
  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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