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Dynamics of games and genes: Discrete versus continuous time

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Abstract

It is shown that in the classical model of population genetics (Fisher-Wright-Haldane, discrete or continuous version) every solution p(t) converges to equilibrium for t → ∞. For related models of evolutionary games (with non-symmetric matrices) it is shown that the transformation that describes the dynamics is a diffeomorphism (in particular one-to-one).

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Authors and Affiliations

  1. Institut für Mathematik, Universität Wien, Strudlhofgasse 4, A-1090, Wien, Austria

    V. Losert

  2. Mathematics Department, The City College, 137 St. and Convent Ave, 10031, New York, NY, USA

    E. Akin

Authors
  1. V. Losert
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  2. E. Akin
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The authors would like to thank Dr. Josef Hofbauer for useful discussions about this work

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Losert, V., Akin, E. Dynamics of games and genes: Discrete versus continuous time. J. Math. Biology 17, 241–251 (1983). https://doi.org/10.1007/BF00305762

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  • DOI: https://doi.org/10.1007/BF00305762

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