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On te generic stability of mixed strategies in asymmetric contests

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  • Bhaskar, V.

    (Tilburg University, Center for Economic Research)

Abstract

Although a mixed strategy can never be evolutionarily stable in a truly asymmetric contest, examples show that mixed strategies can satisfy the weaker criterion on neutral stability. This paper shows that such examples are rare, and, generically, a mixed strategy is unstable. We apply the result to the battle of sexes between males and females over the raising of offspring.

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Bibliographic Info

Paper provided by Tilburg University, Center for Economic Research in its series Discussion Paper with number 1995-30.

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Date of creation: 1995
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Handle: RePEc:dgr:kubcen:199530

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Web page: http://center.uvt.nl

Related research

Keywords: Game Theory; game theory;

References

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  1. Selten, Reinhard, 1988. "Evolutionary stability in extensive two-person games - correction and further development," Mathematical Social Sciences, Elsevier, vol. 16(3), pages 223-266, December.
  2. Selten, Reinhard, 1983. "Evolutionary stability in extensive two-person games," Mathematical Social Sciences, Elsevier, vol. 5(3), pages 269-363, September.
  3. Damme, E.E.C. van & Bomze, I.M., 1992. "A dynamical characterization of evolutionary stable states," Open Access publications from Tilburg University urn:nbn:nl:ui:12-154418, Tilburg University.
  4. Binmore, Kenneth G. & Samuelson, Larry, 1992. "Evolutionary stability in repeated games played by finite automata," Journal of Economic Theory, Elsevier, vol. 57(2), pages 278-305, August.
  5. D. Fudenberg & E. Maskin, 2010. "Evolution and Cooperation in Noisy Repeated Games," Levine's Working Paper Archive 546, David K. Levine.
  6. Karl H. Schlag, 1994. "When Does Evolution Lead to Efficiency in Communication Games?," Discussion Paper Serie B 299, University of Bonn, Germany.
  7. Sobel, Joel, 1993. "Evolutionary stability and efficiency," Economics Letters, Elsevier, vol. 42(2-3), pages 301-312.
  8. Bhaskar, V., 1994. "Noisy communication and the fast evolution of cooperation," Discussion Paper 1994-112, Tilburg University, Center for Economic Research.
  9. Samuelson, Larry, 1991. "Limit evolutionarily stable strategies in two-player, normal form games," Games and Economic Behavior, Elsevier, vol. 3(1), pages 110-128, February.
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