Abstract
The parametric concept of equilibrium (the optimality principle) in a finite cooperative game of several players in a normal form is introduced. This concept is defined by the partitioning of the players into coalitions. In this situation, two extreme cases of this partitioning correspond to the lexicographically optimal situation and the Nash equilibrium situation, respectively. The analysis of the stability of a generalized optimal situation under the perturbations of the coefficients of the linear payoff functions in the l1-metric is performed. The limiting level of such perturbations, conserving the optimality of the situation is found.
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