Evolutionary dynamics for bimatrix games: A Hamiltonian system?

  • Josef Hofbauer

DOI: 10.1007/BF02409754

Cite this article as:
Hofbauer, J. J. Math. Biology (1996) 34: 675. doi:10.1007/BF02409754


We review some properties of the evolutionary dynamics for asymmetric conflicts, give a simplified approach to them, and present some new results on the stability and bifurcations occurring in these conservative systems. In particular, we compare their dynamics to those of Hamiltonian systems

Key words

Evolutionary game theory Replicator dynamics Bimatrix games Hamiltonian systems Volume-preserving flows Bipartite systems Stability 

Copyright information

© Springer-Verlag 1996

Authors and Affiliations

  • Josef Hofbauer
    • 1
  1. 1.Institut für MathematikUniversität WienViennaAustria

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