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The equivalence of contests

  • Subhashish Modak Chowdhury

    (University of East Anglia)

  • Roman M. Sheremeta

    (Chapman University)

We use a Tullock-type contest model to show that intuitively and structurally different contests can be strategically and revenue equivalent to each other. We consider a two-player contest, where outcome-contingent payoffs are linear functions of prizes, own effort, and the effort of the rival. We identify strategically equivalent contests that generate the same family of best response functions and, as a result, the same revenue. However, two strategically equivalent contests may yield different equilibrium payoffs. Finally, we discuss possible contest design applications and avenues for future theoretical and empirical research.

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Paper provided by School of Economics, University of East Anglia, Norwich, UK. in its series Working Paper series, University of East Anglia, Centre for Behavioural and Experimental Social Science (CBESS) with number 09-06.

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Date of creation: 01 Dec 2009
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Handle: RePEc:uea:wcbess:09-06
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Order Information: Postal: Helen Chapman, School of Economics, University of East Anglia, Norwich Research Park, Norwich, NR4 7TJ, UK
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  1. Roman M. Sheremeta, 2009. "Contest Design: An Experimental Investigation," Working Papers 09-05, Chapman University, Economic Science Institute.
  2. Charles A. Holt & Susan K. Laury, 2002. "Risk Aversion and Incentive Effects," American Economic Review, American Economic Association, vol. 92(5), pages 1644-1655, December.
  3. Sheremeta, Roman & Masters, William & Cason, Timothy, 2009. "Contests with Random Noise and a Shared Prize," MPRA Paper 58271, University Library of Munich, Germany.
  4. Glazer, Amihai & Konrad, Kai A., 1999. "Taxation of rent-seeking activities," Journal of Public Economics, Elsevier, vol. 72(1), pages 61-72, April.
  5. Arye L. Hillman & John G. Riley, 1989. "Politically Contestable Rents And Transfers," Economics and Politics, Wiley Blackwell, vol. 1(1), pages 17-39, 03.
  6. Partha Dasgupta & Joseph Stiglitz, 1980. "Uncertainty, Industrial Structure, and the Speed of R&D," Bell Journal of Economics, The RAND Corporation, vol. 11(1), pages 1-28, Spring.
  7. Subhasish Chowdhury & Roman Sheremeta, 2011. "A generalized Tullock contest," Public Choice, Springer, vol. 147(3), pages 413-420, June.
  8. Loury, Glenn C, 1979. "Market Structure and Innovation," The Quarterly Journal of Economics, MIT Press, vol. 93(3), pages 395-410, August.
  9. 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.
  10. Michelle R Garfinkel & Stergios Skaperdas, 2001. "Conflict Without Misperceptions or Incomplete Information: How the Future Matters," Levine's Working Paper Archive 563824000000000011, David K. Levine.
  11. Lee, Sanghack & Hyeong Kang, J., 1998. "Collective contests with externalities," European Journal of Political Economy, Elsevier, vol. 14(4), pages 727-738, November.
  12. 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.
  13. Hao Jia, 2008. "A stochastic derivation of the ratio form of contest success functions," Public Choice, Springer, vol. 135(3), pages 125-130, June.
  14. 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.
  15. 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.
  16. Skaperdas, Stergios & Gan, Li, 1995. "Risk Aversion in Contests," Economic Journal, Royal Economic Society, vol. 105(431), pages 951-62, July.
  17. Che,Y.K. & Gale,I., 1998. "Difference-form contests and the robustness of all-pay auctions," Working papers 6, Wisconsin Madison - Social Systems.
  18. Osborne, Martin J. & Pitchik, Carolyn, 1986. "Price competition in a capacity-constrained duopoly," Journal of Economic Theory, Elsevier, vol. 38(2), pages 238-260, April.
  19. Subhashish Modak Chowdhury & Roman M. Sheremeta, 2009. "A generalized Tullock contest and the existence of multiple equilibria," Working Paper series, University of East Anglia, Centre for Behavioural and Experimental Social Science (CBESS) 09-08, School of Economics, University of East Anglia, Norwich, UK..
  20. Subhashish Modak Chowdhury, 2009. "The all-pay auction with non-monotonic payoff," Working Paper series, University of East Anglia, Centre for Behavioural and Experimental Social Science (CBESS) 09-09, School of Economics, University of East Anglia, Norwich, UK..
  21. Ron Siegel, 2009. "All-Pay Contests," Econometrica, Econometric Society, vol. 77(1), pages 71-92, 01.
  22. Richard L. Fullerton & R. Preston McAfee, 1999. "Auctioning Entry into Tournaments," Journal of Political Economy, University of Chicago Press, vol. 107(3), pages 573-605, June.
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