The game with partial cooperation with perfect information in extensive form is researched in this paper. Characteristic functions are defined for each coalition based on unified principle, which are not necessarily supper additive. A new principle of optimal behavior in such game is established, based on the nucleolus as optimality principle for the allocation of coalitional payoff. Algorithm of PGN-value for this kind of game is offered and the optimal trajectory is solved. The existence and uniqueness of nucleolus lead to the existence and uniqueness of the new solution.
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