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IMI/Publicaţii/BASM/Ediţii/BASM n.1(95)-n2(96), 2021/

Postoptimal analysis of a finite cooperative game

Authors: Vladimir Emelichev, Olga Karelkina

Abstract

We consider a finite cooperative game of several players with parameterized concept of equilibrium (optimality principles), when relations between players in coalition are based on the Pareto maximum. Introduction of this optimality principle allows to connect classical notions of the Pareto optimality and Nash equilibrium. Lower and upper bounds are obtained for the strong stability radius of the game under parameters perturbations with the assumption that arbitrary H\"{o}lder norms are defined in the space of outcomes and criteria space. Game classes with an infinite radius are defined.

Vladimir Emelichev
Belarusian State University
ave. Independence, 4, Minsk 220030
Belarus
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Olga Karelkina
Systems Research Institute, PAN
Newelska, 6, Warsaw 01-447
Poland
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