Geodesic
The average value of profit in infinite coalition games
Matematičeskaâ teoriâ igr i eë priloženiâ, Tome 1 (2009) no. 4, pp. 111-124 Cet article a éte moissonné depuis la source Math-Net.Ru

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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
Mots-clés : Markov's chains. 
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     author = {I. M. Prudnikov},
     title = {The average value of profit in infinite coalition games},
     journal = {Matemati\v{c}eska\^a teori\^a igr i e\"e prilo\v{z}eni\^a},
     pages = {111--124},
     year = {2009},
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     number = {4},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MGTA_2009_1_4_a6/}
}
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I. M. Prudnikov. The average value of profit in infinite coalition games. Matematičeskaâ teoriâ igr i eë priloženiâ, Tome 1 (2009) no. 4, pp. 111-124. http://geodesic.mathdoc.fr/item/MGTA_2009_1_4_a6/

[1] Borovkov A.A., Teoriya veroyatnostei, Nauka, M., 1976

[2] Gubko M.B., Novikov D.A., Teoriya igr v upravlenii organizovannymi sistemami, Izd. 2, Nauka, M., 2005

[3] Rozanov Yu.A., Sluchainye protsessy. Kratkii kurs, Nauka, M., 1971