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Evolutionary Stability in Asymmetric Population Games

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Author Info

  • Balkenborg, Dieter
  • Karl H. Schlag

Abstract

We extend the notions of evolutionary stability and, for the first time, that of neutral stability to asymmetric games played between two populations. Stability with respect to simultaneous entry of a small proportion of mutants into both populations is considered. Allocations where neither mutant can ever spread are called neutrally stable. For bimatrix games, neutral stability in the asymmetric population game is found to be a weaker concept than neutral stability in the asymmetric contest. Moreover existence is guaranteed for 2 x 2 bimatrix games. Sets of neutrally stable strategy pairs such that for any pair of mutants not in the set at least one mutant is driven out are called evolutionary stable. Evolutionarily stable sets are shown to be equivalent to strict equilibrium sets. Additionally, uniformity considerations are investigated.

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Bibliographic Info

Paper provided by University of Bonn, Germany in its series Discussion Paper Serie B with number 314.

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Length: pages
Date of creation: May 1995
Date of revision:
Handle: RePEc:bon:bonsfb:314

Contact details of provider:
Postal: Bonn Graduate School of Economics, University of Bonn, Adenauerallee 24 - 26, 53113 Bonn, Germany
Fax: +49 228 73 6884
Web page: http://www.bgse.uni-bonn.de

Related research

Keywords: evolutionarily stable set; evolutionarily stable strategy; neutral stability; strict equilibrium; mixed strategy model; asymmetric contest;

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Cited by:
  1. Cressman, R., 1997. "Local stability of smooth selection dynamics for normal form games," Mathematical Social Sciences, Elsevier, vol. 34(1), pages 1-19, August.

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