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Matematicheskaya Teoriya Igr i Ee Prilozheniya, 2009, Volume 1, Issue 2, Pages 3–13 (Mi mgta7)  

One axiomatization of generalized Owen extension

Valeri Vasil'ev

Sobolev Institute of Mathematics, Siberian Branch of RAS, Novosibirsk
References:
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.
Bibliographic databases:
Document Type: Article
UDC: 519.83
BBC: 22.18
Language: Russian
Citation: Valeri Vasil'ev, “One axiomatization of generalized Owen extension”, Mat. Teor. Igr Pril., 1:2 (2009), 3–13
Citation in format AMSBIB
\Bibitem{Vas09}
\by Valeri Vasil'ev
\paper One axiomatization of generalized Owen extension
\jour Mat. Teor. Igr Pril.
\yr 2009
\vol 1
\issue 2
\pages 3--13
\mathnet{http://mi.mathnet.ru/mgta7}
\zmath{https://zbmath.org/?q=an:1181.91018}
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  • https://www.mathnet.ru/eng/mgta7
  • https://www.mathnet.ru/eng/mgta/v1/i2/p3
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