Logit response games with spatial structures are exactly solved. We exactly derive the probability that a player choose a strategy, the correlation function of strategies of distant players, and the expected utility

We study a condition of favoring cooperation in a Prisoner's Dilemma game on complex networks. There are two kinds of players: cooperators and defectors. Cooperators pay a benefit b to their neighbors at a cost c, whereas defectors only receive a benefit. The game is a death-birth process with...