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In this paper, we analyze bankruptcy problems with nontransferable utility (NTU) from a game theoretical perspective by redefining corresponding NTU-bankruptcy games in a tailor-made way. It is shown that NTU-bankruptcy games are both coalitional merge convex and ordinal convex. Generalizing the...
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To verify whether a transferable utility game is exact, one has to check a linear inequality for each exact balanced collection of coalitions. This paper studies the structure and properties of the class of exact balanced collections. Comparing the definition of exact balanced collections with...
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coalition formation. It allows to make an explicit distinction between within-group and outside-group deviation options. This … the bargaining set containing a minimal winning coalition are characterized. Furthermore, it is shown that the bargaining … set of any homogeneous weighted majority game contains an outcome for which the underlying coalition structure consists of …
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