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【日　時】2025年5月21日 水曜日 17:00～18:30

【講　師】中田　里志 氏
　　　　　東京理科大学経営学部 准教授

【テーマ】A Characterization of Egalitarian and Proportional Sharing Principles: An Efficient Extension Operator Approach (with Yukihiko Funaki and Yukio Koriyama)

【アブストラクト】Some solutions for cooperative games with transferable utility (TU-games), such as the Banzhaf value, Myerson value, and Aumann-Dreze value, lack efficiency, even though other desirable properties hold. This paper proposes a new method for sharing the surplus from an underlying solution that extends it to an efficient solution, which we call an efficient extension operator. We consider a monotonicity property for an efficient extension operator and characterize the egalitarian surplus sharing rule and the proportional division rule in a unified manner. These results can be considered as new justifications for f-ESS values and f-PD values introduced by Funaki and Koriyama (2024), which are generalizations of the equal surplus sharing value and proportional division value, and provide an additional validation for the values with an arbitrary underlying solution. As applications, we consider an efficient-fair extension of the solutions for the TU-games with communication networks and its variant for TU-games with coalition structures.

【場　所】新第2教授研究館 4階 会議室6

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