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Matematicheskaya Teoriya Igr i Ee Prilozheniya, 2013, Volume 5, Issue 4, Pages 14–32 (Mi mgta119)  
This article is cited in 1 scientific paper (total in 1 paper)

Algorithms of finding the prenucleolus and the SM-nucleolus of cooperative TU-games

Sergei V. Britvin, Svetlana I. Tarashnina

Saint-Petersburg State University
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Abstract: Two one-pointed solutions of cooperative games with transferable utility: the prenucleolus and the SM-Nucleolus, are presented in this article. New algorithms of finding these solutions based on the procedure, described in the paper of M. Maschler, B. Peleg and L. S. Shapley, are proposed in this article. Introducing the numbering of the coalitions provides finding solution with the use of only one iteration of the procedure.
Keywords: cooperative game, effectively rational distribution, lexicographical minimum, excess, the prenucleolus, biexcess, the SM-nucleolus.
Document Type: Article
UDC: 519.83
BBC: 22.18
Language: Russian
Citation: Sergei V. Britvin, Svetlana I. Tarashnina, “Algorithms of finding the prenucleolus and the SM-nucleolus of cooperative TU-games”, Mat. Teor. Igr Pril., 5:4 (2013), 14–32
Citation in format AMSBIB
\Bibitem{BriTar13}
\by Sergei~V.~Britvin, Svetlana~I.~Tarashnina
\paper Algorithms of finding the prenucleolus and the SM-nucleolus of cooperative TU-games
\jour Mat. Teor. Igr Pril.
\yr 2013
\vol 5
\issue 4
\pages 14--32
\mathnet{http://mi.mathnet.ru/mgta119}
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  • https://www.mathnet.ru/eng/mgta/v5/i4/p14
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математическая теория игр и её приложения
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