Public Choice

, Volume 139, Issue 3–4, pp 335–342 | Cite as

The uniqueness of pure-strategy Nash equilibrium in rent-seeking games with risk-averse players

  • Takeshi YamazakiEmail author


This article proves that if each player’s measure of absolute risk aversion is nonincreasing in his/her wealth, then there exists a unique pure-strategy Nash equilibrium in the general rent-seeking game, where risk-averse players can coexist with risk-neutral players, attitude toward risk can differ among players, and concave production functions for lotteries are not necessarily the same among players.


Rent-seeking Nonincreasing absolute risk aversion Uniqueness 


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  1. Arrow, K. (1970). Essays in the theory of risk-bearing. Markham. Google Scholar
  2. Che, Y.-K., & Gale, I. (1997). Rent dissipation when rent seekers are budget constrained. Public Choice, 92, 109–126. doi: 10.1023/A:1017937708549. CrossRefGoogle Scholar
  3. Cornes, R., & Hartley, R. (2003). Risk aversion, heterogeneity and contests. Public Choice, 117, 1–25. doi: 10.1023/A:1026136008608. CrossRefGoogle Scholar
  4. Hillman, A., & Katz, E. (1984). Risk-averse rent seekers and the social cost of monopoly power. The Economic Journal, 94, 104–110. doi: 10.2307/2232219. CrossRefGoogle Scholar
  5. Konrad, K., & Schlesinger, H. (1997). Risk aversion in rent-seeking and rent-augmenting games. The Economic Journal, 107, 1671–1683. doi: 10.1111/1468-0297.00249. CrossRefGoogle Scholar
  6. Long, N., & Vousden, N. (1987). Risk-averse rent seeking with shared rents. The Economic Journal, 97, 971–985. doi: 10.2307/2233083. CrossRefGoogle Scholar
  7. Perez-Castrillo, J. D., & Verdier, T. (1992). A general analysis of rent-seeking games. Public Choice, 73, 335–350. doi: 10.1007/BF00140926. CrossRefGoogle Scholar
  8. Skaperdas, S., & Gan, L. (1995). Risk aversion in contests. The Economic Journal, 105, 951–962. doi: 10.2307/2235161. CrossRefGoogle Scholar
  9. Szidarovszky, F., & Okuguchi, K. (1997). On the existence and uniqueness of pure Nash equilibrium in rent-seeking games. Games and Economic Behavior, 18, 135–140. doi: 10.1006/game.1997.0517. CrossRefGoogle Scholar
  10. Tullock, G. (1980). Efficient rent-seeking. In J. M. Buchanan, R. D. Tollison, & G. Tullock (Eds.), Toward a theory of the rent-seeking society (pp. 97–112). College Station: Texas A & M Press. Google Scholar
  11. Vives, X. (1999). Oligopoly pricing, old ideas and new tools. Cambridge: MIT Press. Google Scholar
  12. Yamazaki, T. (2008). On the existence and uniqueness of pure-strategy Nash equilibrium in asymmetric rent-seeking contests. Journal of Public Economic Theory, 10, 317–327. doi: 10.1111/j.1467-9779.2008.00364.x. CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media, LLC 2009

Authors and Affiliations

  1. 1.Department of EconomicsNiigata UniversityNiigata-shiJapan

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