A theoretical framework we call dynamical systems game is presented, in whi
ch the game itself can change due to the influence of players' behaviors an
d states. That is, the nature of the game itself is described as a dynamica
l system. The relation between game dynamics and the evolution of strategie
s 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. (C) 2000 Elsevier Sc
ience B.V. All rights reserved.