Prior Solutions: Extensions of Convex Nucleus Solutions to Chance-Constrained Games.
TEXAS UNIV AUSTIN CENTER FOR CYBERNETIC STUDIES
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The theory of n-person cooperative game in characteristic function form is extended to games with stochastic characteristic function, where the values that the characteristic function assigns to the various coalitions are random variables with given distribution functions. Based on the idea of zero order decision rules, the authors define classes of prior solutions. As prior solutions, they here extend the classic notions of core, Shapley value and nucleolus to these stochastic games and investigate their properties. Modified author abstract
- Operations Research