ALGORITHM AND CONVERGENCE OF OPTIMAL STRATEGIES IN A CLASS OF QUANTITATIVE DIFFERENTIAL GAMES
Wu H · Acta Automatica Sinica · 1992
In this paper,the algorithm for finding the optimal strategies for a class of quantitative differential games is discussed, by making use of the fixed point theorem. First, we construct an iterative process by which the optimal strategies are found, then by making use of he fixed point theorem, we analyze the convergence of this iterative process. The method developed in this paper may find some applications in a class of Nash differential games where one seeks to develop some distributed algorithms for the computation of Nash equilibria.