A dynamical method for the calculation of Nash-equilibria inn-person games

Abstract In this paper, we are concerned with the calculation of Nash-equilibria in non-cooperative n-person games. For this purpose, we construct a continuous mapping of the Cartesian product of the strategy sets of the players into itself such that the fixed points of this mapping are Nash-equilibria. This gives rise to an iteration method for the calculation of fixed points of this mapping which leads to Nash-equilibria, if it converges. As important special cases Bi-matrix games and evolution matrix games are considered. Keywords: n-Person gamesNash-equilibriaFixed pointsIteration method91 A 0691 A 1037 N 40 Notes † This assumption is made in the following.