RUS  ENG
Full version
JOURNALS // Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica // Archive

Bul. Acad. Ştiinţe Repub. Mold. Mat., 2021 Number 1-2, Pages 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

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

Keywords and phrases: multiple criteria, strong stability radius, parametric optimality, Nash equilibrium, Pareto optimality, Hölder norm.

MSC: 90C10, 90C29

Received: 13.04.2021

Language: English



© Steklov Math. Inst. of RAS, 2025