well known refinements of the Nash equilibrium, namely, perfect Nash equilibrium and proper Nash equilibrium, are special … Nash equilibrium is shown to exist for every game. In symmetric bimatrix games, our results imply the existence of a … symmetric proper equilibrium. Applying our results to the field of evolutionary game theory yields a refinement of the …

create an actual selective advantage for a second mutant. Such stepping stone paths out of equilibrium generally exist both … equilibrium exist, they could still be rare compared to the size of the strategy space. Simulations however suggest that they are … equilibrium to equilibrium through a series of indirect invasions. Instability does not mean we cannot draw qualitative …

in low payoff states. A clear-cut equilibrium selection result isobtained: the payoff dominant equilibrium emerges as the … unique long runequilibrium. Furthermore, the expected waiting time until the payoffdominant equilibrium is reached is …