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In this paper we introduce and characterize two new values for transferable utility games with graph restricted communication and a priori unions. Both values are obtained by applying the Shapley value to an associated TU-game. The graph-partition restricted TU-game is obtained by taking the...
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costs such that each agent demands consecutive sections. We show that the core, the prenucleolus, and the Shapley value on … associated games do not occur. The main axioms for the core and the nucleolus are consistency properties based on the reduced …
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Recently, applications of cooperative game theory to economic allocation problems have gained popularity. In many of these problems, players are organized according to either a hierarchical structure or a levels structure that restrict players ́possibilities to cooperate. In this paper, we...
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