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• W2090854437 endingPage "646" @default.
• W2090854437 startingPage "638" @default.
• W2090854437 abstract "This study provides a unified axiomatic characterization method of one-point solutions for cooperative games with transferable utilities. Any one-point solution that satisfies efficiency, the balanced cycle contributions property (BCC), and the axioms related to invariance under a player deletion is characterized as a corollary of our general result. BCC is a weaker requirement than the well-known balanced contributions property. Any one-point solution that is both symmetric and linear satisfies BCC. The invariance axioms necessitate that the deletion of a specific player from games does not affect the other players’ payoffs, and this deletion is different with respect to solutions. As corollaries of the above characterization result, we are able to characterize the well-known one-point solutions, the Shapley, egalitarian, and solidarity values, in a unified manner. We also studied characterizations of an inefficient one-point solution, the Banzhaf value that is a well-known alternative to the Shapley value." @default.
• W2090854437 created "2016-06-24" @default.
• W2090854437 creator A5024263988 @default.
• W2090854437 creator A5035862655 @default.
• W2090854437 date "2012-02-01" @default.
• W2090854437 modified "2023-10-11" @default.
• W2090854437 title "Whose deletion does not affect your payoff? The difference between the Shapley value, the egalitarian value, the solidarity value, and the Banzhaf value" @default.
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• W2090854437 doi "https://doi.org/10.1016/j.ejor.2011.08.011" @default.
• W2090854437 hasPublicationYear "2012" @default.
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