Cores and Weber sets for fuzzy extensions of cooperative games

被引：11
|
作者：
Sagara, Nobusumi [1 ]
机构：
[1] Hosei Univ, Fac Econ, Machida, Tokyo 1940298, Japan
来源：
FUZZY SETS AND SYSTEMS | 2015年 / 272卷
关键词：
Core; Weber set; Exact game; Superdifferential; Lovasz extension; Supermodularity; Convex games; REPRESENTATION;
D O I：
10.1016/j.fss.2014.11.017
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
This paper investigates fuzzy extensions of cooperative games and the coincidence of the solutions for fuzzy and crisp games. We show that an exact game has an exact fuzzy extension such that its fuzzy core coincides with the core. For games with empty cores, we exploit Lovasz extensions to establish the coincidence of Weber sets for fuzzy and crisp games. (C) 2014 Elsevier B.V. All rights reserved.
引用
收藏
页码：102 / 114
页数：13
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