  Synchronization, cooperation, and chaos are ubiquitous phenomena in nature.
In a population composed of many distinct groups of individuals playing the
prisoner's dilemma game, there exists a migration dilemma: No cooperator would
migrate to a group playing the prisoner's dilemma game lest it should be
exploited by a defector; but unless the migration takes place, there is no
chance of the entire population's cooperator-fraction to increase. Employing a
randomly rewired coupled map lattice of chaotic replicator maps, modelling
replication-selection evolutionary game dynamics, we demonstrate that the
cooperators -- evolving in synchrony -- overcome the migration dilemma to
proliferate across the population when altruism is mildly incentivized making
few of the demes play the leader game.
