A Characterization of Solutions for Cooperative Fuzzy Games: Solutions via Markets and Mechanism Design

2017 Fiscal Year Final Research Report

• Project/Area Number: 26380246
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Multi-year Fund
• Section: 一般
• Research Field: Economic theory
• Research Institution: Hosei University
• Principal Investigator: SAGARA Nobusumi 法政大学, 経済学部, 教授 (90286005)
• Co-Investigator(Renkei-kenkyūsha): MIYAZAKI Kenji 法政大学, 経済学部, 教授 (10308009) ; HOSOYA Yuhki 関東学院大学, 経済学部, 助教授 (30383954)
• Research Collaborator: Khan Mohammed Ali ジョンズ・ホプキンス大学, 経済学部, 教授 ; Mordukhovich Boris S. ウェイン州立大学, 理学部, 教授 ; SUZUKI Takashi 明治学院大学, 経済学部, 教授
• Project Period (FY): 2014-04-01 – 2018-03-31
• Keywords: ファジィ協力ゲーム / コア / Weber集合 / ファジィ拡張 / Choquet積分 / 競争均衡 / 市場メカニズム

Outline of Final Research Achievements

The purpose of this research was to investigate cooperative behaviors of players with fuzzy coalitions, establish the method for deriving the solutions via market mechansim, and clarify its limitation to provide an insights into practical problems on group decision-making. Toward this end, we formulated the fuzzy extension to fuzzify cooperative games and characterized the class of fuzzy games and their fuzy extension such that the fuzzy core coincides with the original cooperative games. For the cooperative games that lack the core, we proposed the alternative concept, called a fuzzy Weber set, and charcaterized the fuzzy extensions such that the fuzzy Weber set coincides with the Weber set of the original cooperative game.

Free Research Field

協力ゲーム理論、一般均衡理論