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 SM ISO690:2012EMELICHEV, 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 | ||||||
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| Pag. 17-26 | ||||||
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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. |
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| Cuvinte-cheie Cooperative game, lexicographic optimality, stability radius., Nash equilibrium |
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