Geodesic
Stochastic cooperative games application to the analysis of economic agent’s interaction
Contributions to game theory and management, Tome 8 (2015), pp. 137-148 
Pavel V. Konyukhovskiy; Alexandra S. Malova. Stochastic cooperative games application to the analysis of economic agent’s interaction. Contributions to game theory and management, Tome 8 (2015), pp. 137-148. http://geodesic.mathdoc.fr/item/CGTM_2015_8_a10/
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     author = {Pavel V. Konyukhovskiy and Alexandra S. Malova},
     title = {Stochastic cooperative games application to the analysis of economic agent{\textquoteright}s interaction},
     journal = {Contributions to game theory and management},
     pages = {137--148},
     year = {2015},
     volume = {8},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CGTM_2015_8_a10/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

The article deals with the development of the theory of stochastic cooperative games and also possible future directions of practical applications of this class of games are considered. The principal feature of the proposed approach to stochastic cooperative games is that it is based on the definition of the imputation as a vector, which provides the conditions of individual and group rationality with a certain (given) $\alpha$ the probability. Unlike previous approaches, that consider imputation in stochastic cooperative game as "fixed" proportions, our view is to consider total utility of the coalition as a random variable, distributed among its participants. This approach introduces the concept of $\alpha$-core games and consideres a number of problems that can be formulated with respect to the properties of this object.

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