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Necessary conditions for linear noncooperative \(N\)-player delta differential games on time scales. (English) Zbl 1258.49064

Summary: We present necessary conditions for linear noncooperative \(N\)-player delta dynamic games on an arbitrary time scale. Necessary conditions for an open-loop Nash-equilibrium and for a memoryles perfect state Nash-equilibrium are obtained.

MSC:

49N70 Differential games and control
49K35 Optimality conditions for minimax problems
91A10 Noncooperative games
39A10 Additive difference equations
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