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Dynamically stable cooperative solutions in randomly furcating differential games. (English) Zbl 1196.91017
Maksimov, V. I. (ed.), Dynamical systems: modeling, optimization, and control. Transl. from the Russian. Moscow: Maik Nauka/Interperiodica, Pleiades Publishing/distrib. by Springer. Proc. Steklov Inst. Math. 2006, Suppl. 1, S208-S220 (2006); reprinted from Tr. Inst. Mat. Mekh. 12, No. 1, 196-207 (2006).
Summary: The paradigm of randomly furcating differential games incorporates stochastic elements via randomly branching payoffs in differential games. This paper considers dynamically stable cooperative solutions in randomly furcating differential games. Analytically tractable payoff distribution procedures contingent upon specific random events are derived. This new approach widens the application of cooperative differential game theory to problems where future environments are not known with certainty.
For the entire collection see [Zbl 1116.37003].

MSC:
91A23 Differential games (aspects of game theory)
91A12 Cooperative games
49N70 Differential games and control
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