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Matematicheskaya Teoriya Igr i Ee Prilozheniya, 2015, Volume 7, Issue 1, Pages 74–91
(Mi mgta153)
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This article is cited in 12 scientific papers (total in 12 papers)
Pareto-equilibrium strategy profile
Vladislav I. Zhukovskiya, Konstantin N. Kudryavtsevb a Moscow State University
b South Ural State University
Abstract:
In the article the strategy profiles that are the Pareto-optimal the Nash equilibriums are considered. Sufficient conditions for existence of the equilibrium for the pure strategies are found. These conditions use the Germier convolutions of the utility functions. For non-cooperative games with compact strategy sets and with continuous utility functions existence of the Pareto-optimal Nash equilibriums in mixed strategies is proved.
Keywords:
non-cooperative game, mixed strategies, Nash equilibrium, Pareto optimums.
Citation:
Vladislav I. Zhukovskiy, Konstantin N. Kudryavtsev, “Pareto-equilibrium strategy profile”, Mat. Teor. Igr Pril., 7:1 (2015), 74–91; Autom. Remote Control, 77:8 (2016), 1500–1510
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https://www.mathnet.ru/eng/mgta153 https://www.mathnet.ru/eng/mgta/v7/i1/p74
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Abstract page: | 607 | Full-text PDF : | 345 | References: | 62 |
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