  We propose a game-theoretic dynamics of a population of replicating
individuals. It consists of two parts: the standard replicator one and a
migration between two different habitats. We consider symmetric two-player
games with two evolutionarily stable strategies: the efficient one in which the
population is in a state with a maximal payoff and the risk-dominant one where
players are averse to risk. We show that for a large range of parameters of our
dynamics, even if the initial conditions in both habitats are in the basin of
attraction of the risk-dominant equilibrium (with respect to the standard
replication dynamics without migration), in the long run most individuals play
the efficient strategy.
