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Contributions to Game Theory and Management, 2014, Volume 7, Pages 181–190
(Mi cgtm229)
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This article is cited in 1 scientific paper (total in 1 paper)
Strictly strong $(n-1)$-equilibrium in $n$-person multicriteria games
Denis V. Kuzyutina, Mariya V. Nikitinab, Yaroslavna B. Pankratovaa a St. Petersburg State University, Faculty of Applied Mathematics and Control Processes, Universitetskii pr. 35, St. Petersburg, 198504, Russia
b International Banking Institute, Nevski pr. 60, St. Petersburg, 191023, Russia
Abstract:
Using some specific approach to the coalition-consistency analysis in $n$-person multicriteria games we introduce two refinements of (weak Pareto) equilibria: the strong and strictly strong $(n-1)$-equilibriums. Axiomatization of the strictly strong $(n-1)$-equilibria (on closed families of multicriteria games) is provided in terms of consistency, strong one-person rationality, suitable variants of Pareto optimality and converse consistency axiom and others.
Keywords:
multicriteria games; Pareto equilibria; strong equilibrium; consistency; axiomatizations.
Citation:
Denis V. Kuzyutin, Mariya V. Nikitina, Yaroslavna B. Pankratova, “Strictly strong $(n-1)$-equilibrium in $n$-person multicriteria games”, Contributions to Game Theory and Management, 7 (2014), 181–190
Linking options:
https://www.mathnet.ru/eng/cgtm229 https://www.mathnet.ru/eng/cgtm/v7/p181
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Abstract page: | 221 | Full-text PDF : | 122 | References: | 51 |
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