3 problems

Let $n>2$ be the number of players, let $\mathbf{m}$ denote the vector of numbers of actions available to the players, and let $q_{n,\mathbf{m}}$ denote the number of games in the…

Let $A$ be a payoff matrix and fix a discretization step. Consider the corresponding discretized best-response dynamics. Asymptotic periodicity conjecture. For any discretization s…

Brun et al.'s geometric convergence conjecture. The best-response dynamics may converge geometrically under, including for more than two players.