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A study on fuzzy differential game. (English) Zbl 1162.91317

Summary: In this paper we study a fuzzy differential game problem, in which the information obtained by any player may contain some sort of uncertainties, which are usually difficult to characterize either deterministically or stochastically. A necessary condition for an optimal strategy of an open loop Nash-equilibrium solution for a fuzzy differential game is derived and an illustrative example is presented to clarify the developed result.

MSC:

91A23 Differential games (aspects of game theory)
49N70 Differential games and control