Weighted average-convexity and Shapley values

Alexandre Skoda and Xavier Venel

Games and Economic Behavior, 2023, vol. 140, issue C, 88-98

Abstract: We generalize the notion of convexity and average-convexity to the notion of weighted average-convexity. We show several results on the relation between weighted average-convexity and cooperative games. Our main result is that if a game is weighted average-convex, then the corresponding weighted Shapley value is in the core.

Keywords: TU-games; Convexity; Average-convexity; Weighted Shapley value (search for similar items in EconPapers)
Date: 2023
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:gamebe:v:140:y:2023:i:c:p:88-98

DOI: 10.1016/j.geb.2023.02.008

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