title: Spatial prisoner's dilemma games with dynamic payoff matrices.
abstract: The effects of dynamic payoff matrices on evolution of cooperation are studied based on the prisoner's dilemma game on a two-dimensional square lattice. The study is conducted by simulation and an analytical theory based on mean-field approximation. Payoff matrices are designed to evolve depending on a ratio of defectors (or cooperators) to the whole population. Dynamic payoff matrices are necessary to describe evolution of a society whose payoff may be affected by the results of actions of the members in the society. Introducing such payoff matrices helps to model dynamic aspects of societies.
authors.affiliation: Institute for Mathematical Behavioral Sciences, University of California, Irvine, 3151 Social Sciences Plaza, Irvine, California 92697, USA.
authors.forename: Masaki
authors.initials: M
authors.lastname: Tomochi
authors.forename: Mitsuo
authors.initials: M
authors.lastname: Kono