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Differential coalitional game in conditions of uncertainty for networks

Yuri Talagaev, Andrey Tarakanov
In the paper, a dynamic model of the game of two coalitions in conditions of uncertainty is constructed. As a solution of the game the "coalitional guaranteed equilibrium" is suggested. The performing of the equalities of collection rationality gives maximality of solution by Pareto (under suggestion of well-disposeness of players inside each coalition). The two-coalitional game in uncertainty conditions is transformed into the special three-person game (without uncertainty). It is proved that Pareto-Slater equilibrium of the new game is the coalitional guaranteed equilibrium in the initial game. For linear-quadratic game the sufficient conditions of optimality are obtained.
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