Weakly differentially monotonic solutions for cooperative games
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DOI: 10.1007/s00182-019-00669-1
Abstract: The principle of differential monotonicity for cooperative games states that the differential of two players’ payoffs weakly increases whenever the differential of these players’ marginal contributions to coalitions containing neither of them weakly increases. Together… read more here.
Keywords: two players; player; marginal contributions; cooperative games ... See more keywords
Interval-valued n-person cooperative games with satisfactory degree constraints
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DOI: 10.1007/s10100-018-0555-6
Abstract: The aim of this study is to develop several nonlinear programming models for interval-valued cooperative games in which taking into account the decision makers’ risk attitudes. First, we investigate several existing used satisfactory degree comparison… read more here.
Keywords: satisfactory degree; valued person; method; interval valued ... See more keywords
On egalitarian values for cooperative games with a priori unions
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DOI: 10.1007/s11750-020-00553-2
Abstract: In this paper, we extend the equal division and the equal surplus division values for transferable utility cooperative games to the more general setup of transferable utility cooperative games with a priori unions. In the… read more here.
Keywords: priori unions; values cooperative; division; cooperative games ... See more keywords
Interval-valued least square prenucleolus of interval-valued cooperative games and a simplified method
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DOI: 10.1007/s12351-016-0260-y
Abstract: The aim of this paper is to propose the concept of the interval-valued least square prenucleolus of interval-valued cooperative games and develop a direct and an effective simplified method for solving a special subclass of… read more here.
Keywords: interval valued; least square; interval; cooperative games ... See more keywords
The extended Shapley value for generalized cooperative games under precedence constraints
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DOI: 10.1007/s12351-017-0341-6
Abstract: We introduce a new class of games where cooperation among players is restricted by precedence constraints vis á vis the worth of a coalition depends on the order in which the players enter into the… read more here.
Keywords: extended shapley; precedence constraints; value; cooperative games ... See more keywords
An approach to computing interval-valued discounted Shapley values for a class of cooperative games under interval data
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DOI: 10.1080/03081079.2018.1523903
Abstract: ABSTRACT Through adding a discounted factor, Shapley values of cooperative games are extended to interval-valued (IV) cooperative games. The main purpose of this paper is to propose the concept of IV discounted Shapley values and… read more here.
Keywords: cooperative games; class cooperative; values class; interval valued ... See more keywords
Cooperative Games Based on Coalition Functions in Biform Games
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DOI: 10.3390/axioms12030296
Abstract: In this paper, we try to study a class of biform games with the coalition function from the cooperation of players. For this purpose, we interpret the biform games as cooperative games by defining a… read more here.
Keywords: biform games; function; coalition; cooperative games ... See more keywords