Measure of stability for a finite cooperative game with a generalized concept of equilibrium

Emelichev Vladimir; Gurevsky Evgeny; Platonov Andrey

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EMELICHEV, Vladimir, GUREVSKY, Evgeny, PLATONOV, Andrey. Measure of stability for a finite cooperative game with a generalized concept of equilibrium. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2006, nr. 3(52), pp. 17-26. ISSN 1024-7696.

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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica

Numărul 3(52) / 2006 / ISSN 1024-7696 /ISSNe 2587-4322

Measure of stability for a finite cooperative game with a generalized concept of equilibrium

Pag. 17-26

Emelichev Vladimir, Gurevsky Evgeny, Platonov Andrey

Belarusian State University

Disponibil în IBN: 18 decembrie 2015

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Rezumat

We consider a finite cooperative game in the normal form with a para- metric principle of optimality (the generalized concept of equilibrium). This principle is defined by the partition of the players into coalitions. In this situation, two ex- treme 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∞-metric are obtained. We show that the lower bound of the stability radius is accessible.

Cuvinte-cheie
Cooperative game, lexicographic optimality, stability radius.,

Nash equilibrium

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