Economic Theory

, Volume 7, Issue 2, pp 283–290 | Cite as

Contest success functions

  • Stergios Skaperdas
Research Articles

Summary

Tournaments, conflict, and rent-seeking have been modelled as contests in which participants exert effort to increase their probability of winning a prize. A Contest Success Function (CSF) provides each player's probability of winning as a function of all players' efforts. In this paper the additive CSF employed in most contests is axiomatized, with an independence from irrelevant alternatives property as the key axiom. Two frequently used functional forms are also axiomatized: one in which winning probabilities depend on the ratio of players' efforts and the other in which winning probabilities depend on the difference in efforts.

JEL Classification Numbers

C70 D72 D74 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Aczel, J.: On applications and theory of functional equations. New York: Academic Press 1969Google Scholar
  2. Baye, M., Kovenock, D., de Vries, C. G.: Rigging the lobbying process: An application of the all-pay auction. Am. Econ. Rev.83, 289–94 (1993)Google Scholar
  3. Coughlin, P.: Probabilistic voting models. In: Kotz-Johnson (ed.) Encyclopedia of Statistical Sciences, Vol. 7. New York: John Wiley & Sons 1986Google Scholar
  4. Dixit, A.: Strategic behavior in contests. Am. Econ. Rev.77, 891–898 (1987)Google Scholar
  5. Dupuy, T. N.: Understanding war. New York: Paragon House 1987Google Scholar
  6. Hirshleifer, J.: Conflict and rent-seeking success functions: Ratio vs. difference models of relative success. Publ. Choice63, 101–12 (1989)Google Scholar
  7. Hirshleifer, J.: The paradox of power. Econ. Polit.3, 177–200 (1991)Google Scholar
  8. Luce, R. D., Suppes, P.: Preferences, utility, and subjective probability. In: Luce, R. D., Bush, R. R., Galanter, E. (eds.) Handbook of mathematical psychology, Vol. III. New York: Wiley 1965Google Scholar
  9. McFadden, D. L.: Econometric analysis of qualitative response models. In: Griliches, Intriligator (eds.) Handbook of econometrics, Vol. 2. New York: North-Holland 1984Google Scholar
  10. Nitzan, S.: Collective rent dissipation. Econ. J.101, 1522–34 (1991)Google Scholar
  11. Rosen, S.: Prizes and incentives in elimination tournaments. Am. Econ. Rev.76, 701–714 (1986)Google Scholar
  12. Samuelson, L.: On the independence from irrelevant alternatives in probabilistic choice models. J. Econ. Theory35, 376–389 (1985)Google Scholar
  13. Skaperdas, S.: Cooperation, conflict, and power in the absence of property rights. Am. Econ. Rev.82, 720–39 (1992)Google Scholar
  14. Skaperdas, S., Grofman, B.: Modeling negative campaigning. Am. Polit. Sci. Rev.89, 49–61 (1995)Google Scholar
  15. Suppes, P., Krantz, D. H., Luce, R. D., Tversky, A.: Foundations of measurement, Vol. II. San Diego: Academic Press 1989Google Scholar
  16. Tullock, G.: Efficient rent seeking. In: Buchanan, J. M., Tollison, R. D., Tullock, G. (eds.) Toward a theory of the rent-seeking society. College Station: Texas A&M University Press 1980Google Scholar

Copyright information

© Springer-Verlag 1996

Authors and Affiliations

  • Stergios Skaperdas
    • 1
  1. 1.Department of EconomicsUniversity of CaliforniaIrvineUSA

Personalised recommendations