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Matematicheskaya Teoriya Igr i Ee Prilozheniya, 2009, Volume 1, Issue 2, Pages 3–13
(Mi mgta7)
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One axiomatization of generalized Owen extension
Valeri Vasil'ev Sobolev Institute of Mathematics, Siberian Branch of RAS, Novosibirsk
Abstract:
New approach to generalized Owen extension's construction for some classes of polynomial games is considered. It is proved that this extension coincides with Aumann-Shapley extension for one class of nonatomic games. The explicit formula for multiplicative Aumann-Shapley extension is obtained. The axiomatization of classical Owen extension for the class of discrete-time cooperative games is obtained and it differs from Aumann-Shapley axiomatization only by weak multiplicative axiom.
Keywords:
cooperative games, polynomial games, Owen extension, Aumann-Shapley extension.
Citation:
Valeri Vasil'ev, “One axiomatization of generalized Owen extension”, Mat. Teor. Igr Pril., 1:2 (2009), 3–13
Linking options:
https://www.mathnet.ru/eng/mgta7 https://www.mathnet.ru/eng/mgta/v1/i2/p3
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Abstract page: | 297 | Full-text PDF : | 119 | References: | 55 | First page: | 1 |
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