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Autre Publication Scientifique Documents de travail du Centre d'Économie de la Sorbonne Année : 2022

Weighted Average-convexity and Cooperative Games

Résumé

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 averageconvexity and cooperative games. First, we prove that if a game is weighted averageconvex, then the corresponding weighted Shapley value is in the core. Second, we exhibit necessary conditions for a communication TU-game to preserve the weighted averageconvexity. Finally, we provide a complete characterization when the underlying graph is a priority decreasing tree.
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Dates et versions

halshs-03717539 , version 1 (08-07-2022)

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  • HAL Id : halshs-03717539 , version 1

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Alexandre Skoda, Xavier Venel. Weighted Average-convexity and Cooperative Games. 2022. ⟨halshs-03717539⟩
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