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Evolutionary Stability Against Multiple Mutations

Author

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  • Anirban Ghatak

  • K. Mallikarjuna Rao

  • A. Shaiju

Abstract

It is known (see, e.g., Weibull in Evolutionary Game Theory, MIT Press, 1995 ) that an evolutionarily stable strategy is not necessarily robust against multiple mutations. Precise definition and analysis of “evolutionarily stable strategy against multiple mutations” are not available in the literature. In this article, we formalize evolutionarily robustness against multiple mutations. Our main result shows that such a robust strategy is necessarily a pure strategy. Further, we study some equivalent formulations and properties of evolutionary stability against multiple mutations. In particular, we characterize completely the robustness against multiple mutations in 2×2 games. Copyright Springer Science+Business Media, LLC 2012

Suggested Citation

  • Anirban Ghatak & K. Mallikarjuna Rao & A. Shaiju, 2012. "Evolutionary Stability Against Multiple Mutations," Dynamic Games and Applications, Springer, vol. 2(4), pages 376-384, December.
    • Handle: RePEc:spr:dyngam:v:2:y:2012:i:4:p:376-384
    DOI: 10.1007/s13235-012-0051-x
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    References listed on IDEAS

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    1. Ross Cressman, 2003. "Evolutionary Dynamics and Extensive Form Games," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262033054, December.
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    Cited by:

    1. Anirban Ghatak & Diganta Mukherjee & K. S. Mallikarjuna Rao, 2018. "A Spatial Game Theoretic Analysis of Conflict and Identity," Computational Economics, Springer;Society for Computational Economics, vol. 52(2), pages 493-519, August.
    2. Anirban Ghatak & Sudarshan Iyengar, 2014. "Corruption Breeds Corruption," Studies in Microeconomics, , vol. 2(1), pages 121-132, June.

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