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On a mathematical formulation of the concept of changing coalitions in many person differential games
On a mathematical formulation of the concept of changing coalitions in many person differential games
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机译:关于多人差分博弈中改变联盟概念的数学表述
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摘要
A differential game is interpreted as a many person game where two coalitions are formed. A coalition change is defined and the time this happens, called c-time, is introduced. Various methods are introduced to obtain optimal c-times. The above are generalized to an arbitrary number of coalition changes, cases where players change values of parameters of a differential game and cases where players choose different strategies in a differential game than those obtained by the Isaacs solution. A broader coalition is introduced that allows players to cooperate though they might be opponents in a particular differential game.
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