Dynamically stable cooperative solutions in randomly furcating differential games |
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Authors: | Petrosyan L A Yeung D W K |
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Institution: | 1.St. Petersburg State University,Petrodvorets, St. Petersburg,Russia;2.Center of Game Theory,Hong Kong Baptist University,Kowloon, Hong Kong,China |
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Abstract: | 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. |
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