Cooperative games with stochastic payoffs

Article Abstract:

A study was conducted to characterize a novel category of cooperative games resulting from cooperative decision making problems under stochastic conditions. A game with stochastic payoffs was compared against a deterministic game to determine major differences. A balancedness idea was then utilized for a category of games supporting stochastic payoffs and specific type preferences. In addition, an allocation of a stochastic payoff was obtained to determine the allocation of the stochastic payoff of a grand coalition.

Research, Decision-making, Decision making, Stochastic processes

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The structure of the set of equilibria for two person multicriteria games

Article Abstract:

The structure of the set of equilibria for two person multicriteria games is analyzed. The set of equilibria for bimatrix games was found to be a finite union of polytopes and is only valid for multicriteria games if one of the players only has two pure strategies.

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An extension of the Tau-value to games with coalition structures

Article Abstract:

The coalitional Tau-value, which is an extension of the Tau-value for TU-games to games with a coalition structure, is introduced. Its properties are studied and an axiomatic characterization of this allocation rule is provided.

Axiomatic set theory

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