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Cooperative games with stochastic payoffs. (English) Zbl 0972.91012
This paper introduces a general framework to model cooperative games arising from cooperative decision making problems in stochastic environment and define the core of such games. The authors provide examples arising from linear production problems, financial markets and sequencing problems and introduce a new concept of balancedness for a class of games with stochastic payoff where the preference of specific type. Finally a variant of the Farkas’ lemma is used to show that the core is nonempty if and only if the game is balanced.

MSC:
91A12 Cooperative games
91A15 Stochastic games, stochastic differential games
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