Josef Hofbauer, Vivian Hutson , Glenn T. Vickers :

Travelling waves for games in economics and biology

Nonlinear Analysis, Theory, Methods & Applications 30, 1235-1244 (1997).

Abstract .
We consider the following dominance relation between strict equilibria: A dominates B if A drives out B along a travelling wave (in the reaction diffusion system, with the replicator dynamics as reaction term). We construct examples of asymmetric 2 person pure coordination games for which this dominance relation is not transitive and hence is different from risk-dominance.
This contrasts a related result of Hofbauer (1997) who shows that with the best response dynamics as reaction term, the analogous dominance relation is the same as risk-dominance.

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