In models of evolution and learning in games, a variety of proofs of convergence rely on the assumption that the players’ choice functions are integrable. This assumption does not have an obvious game-theoretic interpretation. We address this question by introducing probability models defined...

To explain the evolution of cooperation by natural selection has been a major goal of biologists since Darwin. Cooperators help others at a cost to themselves, while defectors receive the benefits of altruism without providing any help in return. The standard game dynamical formulation is the...