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A population of fully rational agents play a symmetric 2-player game in biological fitnesses, but each agent's play is determined by his payoffs, which are free to evolve according to "survival of the fittest" pressures. An equilibrium-selection mechanism is assumed to exist, and deliver a unique outcome for any given profile of payoffs; this allows the evolution of payoffs to be modeled as a well-defined replicator dynamics. The existing static stability results that "efficient strict Nashdoi:10.1016/j.geb.2011.05.005 fatcat:5vijajeqtbbhxfyifwwbifb6h4