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

Research Project

Project/Area Number 19K13651
Research Category

Grant-in-Aid for Early-Career Scientists

Allocation TypeMulti-year Fund
Review Section Basic Section 07010:Economic theory-related
Research InstitutionTokyo 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
Project Status Completed (Fiscal Year 2023)
Budget Amount *help
¥2,340,000 (Direct Cost: ¥1,800,000、Indirect Cost: ¥540,000)
Fiscal Year 2021: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2020: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2019: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
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 / 配分ルール / 許可構造 / 成果主義 / 平等主義 / 分配的正義 / 提携形成ゲーム / 複数基準配分 / 平等主義型シャープレー値 / 提携構造 / グループ形成
Outline of Research at the Start

人々が協力することで生じる利益構造を数学的に記述し, 達成された利益をどのように配分すべきかを研究する分野が協力ゲーム理論である. これまで協力ゲームの解として様々なものが研究されており, 代表的な解としてシャープレー値とよばれる解がある. シャープレー値は, 人々の協力への貢献度に基づいて配分を行うものであり, 言わば完全成果主義的な配分方法と言える. これに対し, 平等性や貢献度以外の人々の間の異質性を考慮し, より望ましい解を模索する試みが近年盛んに行なわれている. このような研究を背景とし,より望ましい配分ルールの構築を目的とする.

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.

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.

Report

(6 results)
  • 2023 Annual Research Report   Final Research Report ( PDF )
  • 2022 Research-status Report
  • 2021 Research-status Report
  • 2020 Research-status Report
  • 2019 Research-status Report
  • Research Products

    (28 results)

All 2024 2023 2022 2021 2020 2019 Other

All Int'l Joint Research (1 results) Journal Article (7 results) (of which Int'l Joint Research: 1 results,  Peer Reviewed: 5 results,  Open Access: 2 results) Presentation (19 results) (of which Int'l Joint Research: 11 results,  Invited: 6 results) Remarks (1 results)

  • [Int'l Joint Research] CentraleSupelec(フランス)

    • Related Report
      2023 Annual Research Report
  • [Journal Article] Shapley Meets Debreu: A Decision-theoretic Foundation for Monotonic Solutions of TU-games2024

    • Author(s)
      Nakada Satoshi
    • Journal Title

      SSRN Electronic Journal

      Volume: 28 Mar 2024 Pages: 1-33

    • DOI

      10.2139/ssrn.4740922

    • Related Report
      2023 Annual Research Report
    • Open Access
  • [Journal Article] The in-group egalitarian Owen values2023

    • Author(s)
      Abe Takaaki、Nakada Satoshi
    • Journal Title

      Games and Economic Behavior

      Volume: 142 Pages: 1-16

    • DOI

      10.1016/j.geb.2023.07.013

    • Related Report
      2023 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On the core of a patent licensing game2023

    • Author(s)
      Nakada Satoshi、Shirakawa Ryo
    • Journal Title

      Economics Letters

      Volume: 233 Pages: 111374-111374

    • DOI

      10.1016/j.econlet.2023.111374

    • Related Report
      2023 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Fair Allocation in Hierarchies: A Compromise between Marginalism and Egalitarianism2023

    • Author(s)
      Abe Takaaki、Lowing David、Nakada Satoshi
    • Journal Title

      SSRN Electronic Journal

      Volume: 29 Nov 2023 Pages: 1-44

    • DOI

      10.2139/ssrn.4628514

    • Related Report
      2023 Annual Research Report
    • Open Access / Int'l Joint Research
  • [Journal Article] Potentials and solutions of cooperative games with a fixed player set2023

    • Author(s)
      Abe Takaaki、Nakada Satoshi
    • Journal Title

      International Journal of Game Theory

      Volume: 未定 Issue: 3 Pages: 757-774

    • DOI

      10.1007/s00182-023-00839-2

    • Related Report
      2022 Research-status Report
    • Peer Reviewed
  • [Journal Article] On the unique core partition of coalition formation games: correction to Inal (2015)2022

    • Author(s)
      Nakada Satoshi、Shirakawa Ryo
    • Journal Title

      Social Choice and Welfare

      Volume: 60 Issue: 3 Pages: 517-521

    • DOI

      10.1007/s00355-022-01423-5

    • Related Report
      2022 Research-status Report
    • Peer Reviewed
  • [Journal Article] Core stability of the Shapley value for cooperative games2022

    • Author(s)
      Abe Takaaki、Nakada Satoshi
    • Journal Title

      Social Choice and Welfare

      Volume: 60 Issue: 4 Pages: 523-543

    • DOI

      10.1007/s00355-022-01432-4

    • Related Report
      2022 Research-status Report
    • Peer Reviewed
  • [Presentation] Shapley Meets Debreu: A Decision-theoretic Foundation for Monotonic Solutions of TU-games2023

    • Author(s)
      Satoshi Nakada
    • Organizer
      18th European Meeting on Game Theory, SING18
    • Related Report
      2023 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Shapley Meets Debreu: A Decision-theoretic Foundation for Monotonic Solutions of TU-games2023

    • Author(s)
      Satoshi Nakada
    • Organizer
      Summer Workshop on Game Theory and Experimental Economics 2023
    • Related Report
      2023 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Fair Allocation in Hierarchies: A Compromise between Marginalism and Egalitarianism2023

    • Author(s)
      Satoshi Nakada
    • Organizer
      Keio University
    • Related Report
      2023 Annual Research Report
    • Invited
  • [Presentation] Fair Allocation in Hierarchies: A Compromise between Marginalism and Egalitarianism2023

    • Author(s)
      Satoshi Nakada
    • Organizer
      Hosei University
    • Related Report
      2023 Annual Research Report
    • Invited
  • [Presentation] The Group-wise Egalitarian Owen Values2022

    • Author(s)
      Satoshi Nakada
    • Organizer
      London School of Economics, Distributive Justice Seminar
    • Related Report
      2022 Research-status Report
    • Invited
  • [Presentation] The Group-wise Egalitarian Owen Values2022

    • Author(s)
      Satoshi Nakada
    • Organizer
      2022 Conference on Mechanism and Institution Design
    • Related Report
      2022 Research-status Report
    • Int'l Joint Research
  • [Presentation] The Group-wise Egalitarian Owen Values2022

    • Author(s)
      Satoshi Nakada
    • Organizer
      SING17
    • Related Report
      2022 Research-status Report
    • Int'l Joint Research
  • [Presentation] The Group-wise Egalitarian Owen Values2022

    • Author(s)
      Satoshi Nakada
    • Organizer
      Summer Workshop on Game Theory and Experimental Economics 2022
    • Related Report
      2022 Research-status Report
    • Int'l Joint Research
  • [Presentation] The Group-wise Egalitarian Owen Values2022

    • Author(s)
      Satoshi Nakada
    • Organizer
      The 28th Decentralization Conference in Japan
    • Related Report
      2022 Research-status Report
  • [Presentation] Stable Coalition Structures of Patent Licensing Games2021

    • Author(s)
      Satoshi Nakada
    • Organizer
      The 20th Annual SAET Conference
    • Related Report
      2021 Research-status Report
    • Int'l Joint Research
  • [Presentation] Stable Coalition Structures of Patent Licensing Games2021

    • Author(s)
      Satoshi Nakada
    • Organizer
      Workshop on Innovation and Licensing
    • Related Report
      2021 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Stable Coalition Structures of Patent Licensing Games2021

    • Author(s)
      Satoshi Nakada
    • Organizer
      the 6th World Congress of the Game Theory Society
    • Related Report
      2021 Research-status Report
    • Int'l Joint Research
  • [Presentation] Stable Coalition Structures of Patent Licensing Games2021

    • Author(s)
      Satoshi Nakada
    • Organizer
      48th EARIE Annual Conference
    • Related Report
      2021 Research-status Report
    • Int'l Joint Research
  • [Presentation] Core Stability of the Shapley Value for Cooperative Games2021

    • Author(s)
      Satoshi Nakada
    • Organizer
      Summer Workshop on Game Theory and Experimental Economics 2021
    • Related Report
      2021 Research-status Report
  • [Presentation] Stable Coalition Structures of Patent Licensing Games2020

    • Author(s)
      Satoshi Nakada
    • Organizer
      早稲田 ゲーム理論・実験経済学セミナー(早稲田大学現代政治経済研究所船木部会研究会)
    • Related Report
      2020 Research-status Report
    • Invited
  • [Presentation] Stable Coalition Structures of Patent Licensing Games2019

    • Author(s)
      中田里志
    • Organizer
      慶應義塾大学経済研究所 ミクロ経済学ワークショップ
    • Related Report
      2019 Research-status Report
    • Invited
  • [Presentation] Stable Coalition Structures of Patent Licensing Games2019

    • Author(s)
      中田里志
    • Organizer
      東京理科大学ゲーム理論セミナー
    • Related Report
      2019 Research-status Report
  • [Presentation] Stable Coalition Structures of Patent Licensing Games2019

    • Author(s)
      Satoshi Nakada
    • Organizer
      Summer Workshop on Game Theory 2019 Sendai
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research
  • [Presentation] A Unique Core Allocation and Competitive Equilibrium in General Coalition Formation Games2019

    • Author(s)
      Satoshi Nakada
    • Organizer
      SING 15
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research
  • [Remarks] Satoshi Nakada; research

    • URL

      https://sites.google.com/site/snakada0911/research

    • Related Report
      2023 Annual Research Report 2021 Research-status Report

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Published: 2019-04-18   Modified: 2025-01-30  

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