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.

The coupled motion of a closed non-circular grain boundary (GB) in a bicrystal, with both isotropic and anisotropic GB energies, is studied using the level set method. The kinetic relations, obtained within the framework of linear irreversible thermodynamics, govern the overall dynamics including normal motion (migration) of the GB, viscous sliding along the GB, and tangential motion of the gra...