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Matematicheskaya Teoriya Igr i Ee Prilozheniya, 2009, Volume 1, Issue 4, Pages 111–124 (Mi mgta26)  
The average value of profit in infinite coalition games

I. M. Prudnikov

Saint-Petersburg State University, Saint-Peterburg
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Abstract: The infinite coalition games are considered in the article. The risk and conflicts of these games are introduced. The algorithm is suggested how to construct games without conflicts. It is shown how to confront any coalition game with a Markov's chain. The study of these games can be reduced to the study of the Markov's chaines. The average value of profit and an algorithm of it's calculation is suggested.
Keywords: coalition games, infinite games, risks and conflicts in coalition games, superadditive hulls, the mean value of profit, Markov's chains.
Document Type: Article
UDC: 517.977
BBC: 22.18
Language: Russian
Citation: I. M. Prudnikov, “The average value of profit in infinite coalition games”, Mat. Teor. Igr Pril., 1:4 (2009), 111–124
Citation in format AMSBIB
\Bibitem{Pru09}
\by I.~M.~Prudnikov
\paper The average value of profit in infinite coalition games
\jour Mat. Teor. Igr Pril.
\yr 2009
\vol 1
\issue 4
\pages 111--124
\mathnet{http://mi.mathnet.ru/mgta26}
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