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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2006, Number 3, Pages 17–26
(Mi basm105)
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This article is cited in 5 scientific papers (total in 5 papers)
Measure of stability for a finite cooperative game with a generalized concept of equilibrium
V. A. Emelichev, E. E. Gurevsky, A. A. Platonov Belarussian State University, Minsk, Belarus
Abstract:
We consider a finite cooperative game in the normal form with a parametric principle of optimality (the generalized concept of equilibrium). This principle is defined by the partition of the players into coalitions. In this situation, two extreme cases of this partition correspond to the lexicographically optimal situation and the Nash equilibrium situation, respectively. The analysis of stability for a set of generalized equilibrium situations under the perturbations of the coefficients of the linear payoff functions is performed. Upper and lower bounds of the stability radius in the $l_\infty$-metric are obtained. We show that the lower bound of the stability radius is accessible.
Keywords and phrases:
Cooperative game, lexicographic optimality, Nash equilibrium, stability radius.
Received: 25.08.2006
Citation:
V. A. Emelichev, E. E. Gurevsky, A. A. Platonov, “Measure of stability for a finite cooperative game with a generalized concept of equilibrium”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2006, no. 3, 17–26
Linking options:
https://www.mathnet.ru/eng/basm105 https://www.mathnet.ru/eng/basm/y2006/i3/p17
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Abstract page: | 224 | Full-text PDF : | 54 | References: | 41 | First page: | 1 |
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