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ЖУРНАЛЫ // Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica // Архив

Bul. Acad. Ştiinţe Repub. Mold. Mat., 2021, номер 1-2, страницы 121–136 (Mi basm552)

Postoptimal analysis of a finite cooperative game

Vladimir Emelicheva, Olga Karelkinab

a Belarusian State University, ave. Independence, 4, Minsk 220030, Belarus
b Systems Research Institute, PAN, Newelska, 6, Warsaw 01-447, Poland

Аннотация: 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 Hölder norms are defined in the space of outcomes and criteria space. Game classes with an infinite radius are defined.

Ключевые слова и фразы: multiple criteria, strong stability radius, parametric optimality, Nash equilibrium, Pareto optimality, Hölder norm.

MSC: 90C10, 90C29

Поступила в редакцию: 13.04.2021

Язык публикации: английский



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