Dynamics of games and genes: Discrete versus continuous time Article Revised: 08 December 1982 DOI:
Cite this article as: Losert, V. & Akin, E. J. Math. Biology (1983) 17: 241. doi:10.1007/BF00305762 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). Key words Population genetics Evolutionary games Convergence to equilibrium
The authors would like to thank Dr. Josef Hofbauer for useful discussions about this work
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