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 w...

We give a new proof of theorem Lo Faro concerning minimal counterexamples to the union-closed conjecture, and we prove some results “ε-version” maximal frequency in families.