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Matematicheskaya Teoriya Igr i Ee Prilozheniya, 2011, Volume 3, Issue 4, Pages 99–127 (Mi mgta71)  

This article is cited in 1 scientific paper (total in 1 paper)

Information solvability in multistage games with a set of players of arbitrary cardinality

Nikolai M. Slobozhanin

Faculty of Applied Mathematics and Control Processes, Saint-Petersburg State University, Saint-Petersburg
Full-text PDF (321 kB) Citations (1)
References:
Abstract: Multistage games with separated dynamics, with a set of players of arbitrary cardinality are investigated in the paper. To describe the information structure of a game a concept of information vector-function of a player determined by the author in the previous work is used. It is shown that the condition of information solvability for the games with finite set of players introduced earlier is insufficient for the class of games involved. The definition of information solvability of an ordered according to players set of information vector-functions for the games with infinite set of players is introduced. It is noted that this definition and the one introduced by the author in the previous work for multistage games with finite set of players are equivalent. The axiomatics of multistage games with separated dynamics is given.
Keywords: multistage game with a set of players of arbitrary cardinality, information vector-function, information solvability, axiomatics of multistage games.
Document Type: Article
UDC: 519.83
BBC: 22.18
Language: Russian
Citation: Nikolai M. Slobozhanin, “Information solvability in multistage games with a set of players of arbitrary cardinality”, Mat. Teor. Igr Pril., 3:4 (2011), 99–127
Citation in format AMSBIB
\Bibitem{Slo11}
\by Nikolai~M.~Slobozhanin
\paper Information solvability in multistage games with a~set of players of arbitrary cardinality
\jour Mat. Teor. Igr Pril.
\yr 2011
\vol 3
\issue 4
\pages 99--127
\mathnet{http://mi.mathnet.ru/mgta71}
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  • https://www.mathnet.ru/eng/mgta/v3/i4/p99
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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