Dynamical systems game theory and dynamics of games

A theoretical framework we call dynamical systems game is presented, in which the game itself can change due to the influence of players’ behaviors and states. That is, the nature of the game itself is described as a dynamical system. The relation between game dynamics and the evolution of strategies is discussed by applying this framework. Computer experiments are carried out for simple one-person games to demonstrate the evolution of dynamical systems with the effective use of dynamical resources.