Weighted average-convexity and Shapley values

被引：0
|
作者：
Skoda, Alexandre [1 ]
Venel, Xavier [2 ]
机构：
[1] Univ Paris 01, Ctr Econ Sorbonne, 106 112 Bd de Hop, F-75013 Paris, France
[2] LUISS Univ, Dipartimento Econ & Finanza, Viale Romania 32, I-00197 Rome, Italy
来源：
GAMES AND ECONOMIC BEHAVIOR | 2023年 / 140卷
关键词：
TU-games; Convexity; Average-convexity; Weighted Shapley value;
D O I：
10.1016/j.geb.2023.02.008
中图分类号：
F [经济];
学科分类号：
02 ;
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.
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页码：88 / 98
页数：11
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