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Stability of faces in asymmetric evolutionary games

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  • Aradhana Narang

    (Indian Institute of Technology Madras)

  • A. J. Shaiju

    (Indian Institute of Technology Madras)

Abstract

The concept of a face of population states arises naturally in evolutionary games. This paper studies faces of profiles in asymmetric evolutionary games with infinite strategy space. The concepts of strong immovable and immutable faces of profiles are introduced and stability results for these faces are discussed.

Suggested Citation

  • Aradhana Narang & A. J. Shaiju, 2021. "Stability of faces in asymmetric evolutionary games," Annals of Operations Research, Springer, vol. 304(1), pages 343-359, September.
    • Handle: RePEc:spr:annopr:v:304:y:2021:i:1:d:10.1007_s10479-021-04157-2
    DOI: 10.1007/s10479-021-04157-2
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    References listed on IDEAS

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    1. Oechssler, Jorg & Riedel, Frank, 2002. "On the Dynamic Foundation of Evolutionary Stability in Continuous Models," Journal of Economic Theory, Elsevier, vol. 107(2), pages 223-252, December.
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    4. Aradhana Narang & A. J. Shaiju, 2019. "Evolutionary Stability of Polymorphic Profiles in Asymmetric Games," Dynamic Games and Applications, Springer, vol. 9(4), pages 1126-1142, December.
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    6. Norman, Thomas W.L., 2008. "Dynamically stable sets in infinite strategy spaces," Games and Economic Behavior, Elsevier, vol. 62(2), pages 610-627, March.
    7. Ross Cressman, 2003. "Evolutionary Dynamics and Extensive Form Games," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262033054, April.
    8. Cressman, Ross, 2005. "Stability of the replicator equation with continuous strategy space," Mathematical Social Sciences, Elsevier, vol. 50(2), pages 127-147, September.
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