Weighted average-convexity and Shapley values

• 成果类型: Article
• 署名作者: Skoda, Alexandre; Venel, Xavier
• 署名单位: heSam Universite; Universite Pantheon-Sorbonne; Luiss Guido Carli University
• 刊物名称: GAMES AND ECONOMIC BEHAVIOR
• ISSN/ISSBN: 0899-8256
• DOI: 10.1016/j.geb.2023.02.008
• 发表日期: 2023
• 页码: 88-98
• 关键词: TU-games; convexity; Average-convexity; Weighted Shapley value

摘要

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.(c) 2023 Elsevier Inc. All rights reserved.