Stability of generally ecient situation in finite cooperative games with parametric optimality principle ("from Pareto to Nash")

A parametric optimality principle (choice function) in a finite cooperative game of several persons is determined. This principle is specified by means of partition of players set into coalitions. It generates a set of generally ecient situations. Extreme cases of such a partition correspond to Pareto optimal situation and Nash equilibrium situation. For a situation, ecient for a given partition, analysis of stability to independent perturbations of co- ecients of linear payo functions has been carried out. Extreme levels of perturbations that remain ecient are specified.