On the dynamic foundation of evolutionary stability in continuous models. (Q1867550)

This paper proposes a new solution concept in game theory, evolutionary robustness. A population is evolutionarily robust if it obtains a higher than average payoff against all possible payoffs which are close in the weak topology. Evolutionary robustness implies uninvadability, and the concepts of a continuous stable strategy (CSS) and a neighborhood invader strategy (NIS). These concepts do not guarantee dynamical stability (Lyapunov stability) for continuous strategy spaces, but evolutionary robustness is shown here to do so for replicator dynamics in symmetric 2-person games.