Strategy sets closed under payoff sampling

We consider population games played by procedurally rational players who, when revising their current strategy, test each of available strategies independently in a series random matches –i.e., battery tests–, and then choose the strategy that performed best this tests. This revision protocol leads to so-called payoff-sampling dynamics (aka test-all Best Experienced Payoff dynamics). In paper we characterize support all rest points these any game analyze asymptotic stability faces which they belong. do defining sets closed under payoff sampling, proving identification can be made terms simple comparisons between some payoffs game.