Public Choice

, Volume 129, Issue 3–4, pp 353–368 | Cite as

Contests with an unknown number of contestants

Original Article

Abstract

This paper studies rent-seeking contests where the contestants do not know the number of actively competing contestants. Two models are compared. In the first, all players are risk neutral; in the second, all have constant absolute risk aversion. If the expected fraction of active contestants is low, an increase in the number of potential contestants increases individual rent-seeking efforts. This effect is in contrast to the complete information case where individual rent-seeking efforts decrease in the number of contestants. The effect is more likely under risk neutrality, but also possible under risk aversion. Equilibrium rent seeking efforts are lower under risk aversion if and only if the expected fraction of active contestants is low.

Keywords

Contest Rent-seeking Number uncertainty Risk aversion 

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References

  1. Baye, M.R., & Hoppe, H.C. (2003). The strategic equivalence of rent-seeking, innovation, and patent race games. Games and Economic Behavior, 44, 217–226.CrossRefGoogle Scholar
  2. Che, Y.-K., & Gale, I.L. (1997). Rent dissipation when rent seekers are budget constrained. Public Choice, 92, 109–126.CrossRefGoogle Scholar
  3. Che, Y.-K., & Gale, I.L. (1998). Caps on political lobbying. The American Economic Review, 88, 643–651.Google Scholar
  4. Clark, D.J. (1997). Learning the structure of a simple rent-seeking game. Public Choice, 93 119–130.CrossRefGoogle Scholar
  5. Cornes, R., & Hartley, R. (2003). Risk aversion, heterogeneity and contests. Public Choice, 117 1–25.CrossRefGoogle Scholar
  6. Harstad, R.M., Kagel, J.H. & Levin, D. (1990). Equilibrium bid functions for auctions with an uncertain number of bidders. Economic Letters, 33 35–40.CrossRefGoogle Scholar
  7. Hillman, A.L., & Katz, E. (1984). Risk-Averse Rent Seekers and the Social Cost of Monopoly Power. The Economic Journal, 94 104–110.CrossRefGoogle Scholar
  8. Hurley, T.M., & Shogren J.F. (1998a). Effort levels in Cournot Nash Contest with asymmetric information. Journal of Public Economics, 69 195–210.CrossRefGoogle Scholar
  9. Hurley, T.M., & Shogren J.F. (1998b). Asymmetric information contests. European Journal of Political Economy 14 645–665.CrossRefGoogle Scholar
  10. Jansen, J. (2004). Innovating Under the Radar: Investment Dynamics under Asymmetric Information. Mimeo.Google Scholar
  11. Janssen, M., & Rasmusen, E. (2002). Bertrand competition under uncertainty. The Journal of Industrial Economics 50(1), 11–21.s.Google Scholar
  12. Konrad, K.A., & Schlesinger, H. (1997). Risk aversion in rent-seeking and rent-augmenting games. The Economic Journal, 107 1671–1683.CrossRefGoogle Scholar
  13. Lagerlöf, J. (2005). A Simple Theory of Rent Seeking with Informational Foundations. Mimeo.Google Scholar
  14. Lockard, A., & Tullock, G. (eds.) (2000). Efficient rent-seeking: chronicle of an intellectual quagmire. Boston: Kluwer.Google Scholar
  15. Malueg, D.A., & Yates, A.J. (2004). Rent Seeking With Private Values. Public Choice, 119 161–178.CrossRefGoogle Scholar
  16. McAfee, R.P., & McMillan, J. (1987), Auctions with a stochastic number of bidders. Journal of Economic Theory, 43 1–19.CrossRefGoogle Scholar
  17. Myerson, R.B., & Wärneryd, K. (2006). Population uncertainty in contests. Economic Theory, 27(2).Google Scholar
  18. Nitzan, S. (1994). Modelling rent-seeking contests. European Journal of Political Economy, 10 41–60.CrossRefGoogle Scholar
  19. Skaperdas, S. (1991). Conflict and attitudes toward risk. American Economic Review Papers and Proceedings, 81 116–120.Google Scholar
  20. Skaperdas, S. & Gan, L. (1995). Risk aversion in contests. The Economic Journal 105 951–962.CrossRefGoogle Scholar
  21. Skaperdas, S. (1996). Contest success functions. Economic Theory 7 283–290.Google Scholar
  22. Tullock, G. (1980). Efficient rent seeking. In: Buchanan, J., Tollison, R., Tulock, G. (eds.), Towards a theory of the rent seeking society. College Station: Texas A&M University Press, pp. 97–112.Google Scholar
  23. Wärneryd, K. (2003). Information in conflicts. Journal of Economic Theory, 110 121–136.CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media, B.V. 2006

Authors and Affiliations

  1. 1.Free University of Berlin and WZBBerlinGermany

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