Toward normatively desirable allocations: axiomatic studies of solutions for TU-games

2023 Fiscal Year Final Research Report

• Project/Area Number: 19K13651
• Research Category: Grant-in-Aid for Early-Career Scientists
• Allocation Type: Multi-year Fund
• Review Section: Basic Section 07010:Economic theory-related
• Research Institution: Tokyo University of Science
• Principal Investigator: Nakada Satoshi 東京理科大学, 経営学部ビジネスエコノミクス学科, 講師 (90822453)
• Project Period (FY): 2019-04-01 – 2024-03-31
• Keywords: 協力ゲーム / 公理化 / シャープレー値 / オーウェン値 / コア / ポテンシャル / 安定性 / 単調性

Outline of Final Research Achievements

This research project investigates normatively desirable solutions of cooperative games by axiomatic methods. Solutions of cooperative games correspond to ways of sharing economic benefits among individuals, and therefore, axiomatic studies of the solutions can provide theoretical insight into, for example, how to construct a wage distribution rule in a firm and a revenue-sharing rule among multiple firms for joint projects as real-world applications. As output of the project, I published five papers in refereed journals and made four working papers.

Free Research Field

ゲーム理論, 社会選択理論, ミクロ経済学

Academic Significance and Societal Importance of the Research Achievements

本研究課題は, 協力ゲームの解の公理的分析を主たる目的とするものである. 協力ゲームの解は, 例えば企業内での賃金ルールや複数の企業が共同事業を行なった際の利益の配分ルールに対応し, その研究成果は実際にどのような配分ルールを実装すれば良いかについての理論的な根拠と方法を示唆するものとなる.