(1) Department of Mathematics, Faculty of General Education, Ehime University, Matsuyama, Japan;(2) Department of Information Sciences, Faculty of General Education, Ehime University, Matsuyama, Japan
Abstract:
In this paper, we consider scalar linear stochastic differential games with average cost criterions. We solve the dynamic programming equations for these games and give the synthesis of saddle-point and Nash equilibrium solutions.The authors wish to thank A. Ichikawa for providing the initial impetus and helpful advice.