Biological Cybernetics

, Volume 43, Issue 1, pp 51–57

Game dynamics in mendelian populations

  • Josef Hofbauer
  • Peter Schuster
  • Karl Sigmund
Article

DOI: 10.1007/BF00337287

Cite this article as:
Hofbauer, J., Schuster, P. & Sigmund, K. Biol. Cybern. (1982) 43: 51. doi:10.1007/BF00337287

Abstract

A game theoretical model for the evolution of strategies in animal conflicts is considered, using methods from dynamical systems and population genetics. It is shown that the Hardy-Weinbergequilibrium is readily approached. The differential equation for the gene frequencies is more complicated than that which has been studied previously in the corresponding asexual case.

Copyright information

© Springer-Verlag 1982

Authors and Affiliations

  • Josef Hofbauer
    • 1
    • 2
  • Peter Schuster
    • 1
    • 2
  • Karl Sigmund
    • 1
    • 2
  1. 1.Institut für Mathematikder UniversitätWienAustria
  2. 2.Institut für Theoretische Chemie und Strahlenchemieder UniversitätWienAustria