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Mechanism Design with Robustness and Admissibility

Research Project

Project/Area Number 19K01557
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Review Section Basic Section 07010:Economic theory-related
Research InstitutionHitotsubashi University (2022-2023)
Yokohama National University (2019-2021)

Principal Investigator

MUTO Nozomu  一橋大学, 大学院経済学研究科, 教授 (40706222)

Project Period (FY) 2019-04-01 – 2024-03-31
Project Status Completed (Fiscal Year 2023)
Budget Amount *help
¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2022: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2021: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2020: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2019: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Keywordsメカニズムデザイン / メカニズム・デザイン / ゲーム理論
Outline of Research at the Start

政府などが、その目的を達成するために導入する社会制度等を一般に「メカニズム」と呼ぶ。本研究では、様々な経済的環境下でメカニズムを設計する問題を考える。その際、実現される帰結として複数の可能性を許容する「許容性」と、その帰結が環境の詳細に依存しない「頑健性」をみたすようなメカニズムの構成手法を開発する。応用として、オークション、公共財供給、二部マッチングなどの具体的な環境において、既存のメカニズムに比べてよりよく目的を達成するメカニズムの構成方法を確立することを目指す。

Outline of Final Research Achievements

We consider implementation in undominated strategies by finite mechanisms, where multiple outcomes may be implemented at a single state of the world. We establish a sufficient condition for implementation applicable in a general environment with private values. We apply it to three well-known environments and obtain strikingly permissive results. In the single-object auction, the second-price auction with a reserve price can be outperformed in terms of revenue. In the public good provision problem, the Vickrey-Clarke-Groves mechanism can be outperformed from the viewpoint of a designer who wishes to minimize deficit subject to efficiency. In the two-sided matching environment where preferences on one side of the market are private information, the social choice correspondence that outputs all stable matchings at every preference profile, is implementable.

Academic Significance and Societal Importance of the Research Achievements

支配されない戦略による遂行では、遂行のための十分条件は、既存文献において限られた形でしか知られていなかった。本研究では、扱いやすい形の十分条件を一般的な環境において提示し、その十分条件を典型的な経済環境に適用することで、古典的に知られた社会選択関数を上回る社会選択対応が存在することを示した。
この結果は、オークションやマッチングを含む応用領域にも有用であり、遂行のためにどのようなメカニズムが必要となるかに関する示唆を与えるものである。

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

    (16 results)

All 2024 2023 2022 2021 2020 2019 Other

All Int'l Joint Research (4 results) Journal Article (2 results) (of which Int'l Joint Research: 1 results,  Peer Reviewed: 2 results,  Open Access: 1 results) Presentation (10 results) (of which Int'l Joint Research: 8 results,  Invited: 4 results)

  • [Int'l Joint Research] Indian Institute of Technology, Delhi/Indian Statistical Institute(インド)

    • Related Report
      2023 Annual Research Report
  • [Int'l Joint Research] Indian Institute of Technology, Delhi/Indian Statistical Institute(インド)

    • Related Report
      2021 Research-status Report
  • [Int'l Joint Research] Indian Institute of Technology, Delhi/Indian Statistical Institute(インド)

    • Related Report
      2020 Research-status Report
  • [Int'l Joint Research] Indian Institute of Technology, Delhi/Indian Statistical Institute(インド)

    • Related Report
      2019 Research-status Report
  • [Journal Article] Implementation in undominated strategies with applications to auction design, public good provision and matching2024

    • Author(s)
      Mukherjee Saptarshi, Muto Nozomu, Sen Arunava
    • Journal Title

      Journal of Economic Theory

      Volume: 216 Pages: 105783-105783

    • DOI

      10.1016/j.jet.2023.105783

    • Related Report
      2023 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] 支配されない戦略によるメカニズム・デザイン問題2023

    • Author(s)
      無藤 望
    • Journal Title

      Trend in Modern Economics

      Volume: 2022 Issue: 0 Pages: 123-150

    • DOI

      10.11398/keizaigakuchoryu.123

    • ISSN
      2758-2256
    • Related Report
      2023 Annual Research Report
    • Peer Reviewed / Open Access
  • [Presentation] Implementation in undominated strategies with applications to auction design, public good provision and matching2022

    • Author(s)
      Nozomu Muto
    • Organizer
      2022 Asia Meeting of the Econometric Society, East and South-East Asia
    • Related Report
      2022 Research-status Report
    • Int'l Joint Research
  • [Presentation] Implementation in undominated strategies with applications to auction design, public good provision and matching2022

    • Author(s)
      Nozomu Muto
    • Organizer
      2022 Australasia Meeting of the Econometric Society
    • Related Report
      2022 Research-status Report
    • Int'l Joint Research
  • [Presentation] Implementation in undominated strategies with applications to auction design, public good provision and matchin2022

    • Author(s)
      無藤 望
    • Organizer
      ゲーム理論ワークショップ2022
    • Related Report
      2021 Research-status Report
    • Invited
  • [Presentation] Implementation in undominated strategies with applications to auction design, public good provision and matchin2021

    • Author(s)
      Nozomu Muto
    • Organizer
      The 20th Annual SAET Conference
    • Related Report
      2021 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Implementation in undominated strategies with applications to auction design, public good provision and matchin2021

    • Author(s)
      Nozomu Muto
    • Organizer
      GAMES 2020, the 6th World Congress of the Game Theory Society
    • Related Report
      2021 Research-status Report
    • Int'l Joint Research
  • [Presentation] Implementation in undominated strategies with applications to auction design, public good provision and matchin2021

    • Author(s)
      無藤 望
    • Organizer
      日本経済学会秋季大会
    • Related Report
      2021 Research-status Report
    • Invited
  • [Presentation] Implementation in undominated strategies with applications to auction design, public good provision and matching2020

    • Author(s)
      Nozomu Muto
    • Organizer
      The 12th World Congress of the Econometric Society
    • Related Report
      2020 Research-status Report
    • Int'l Joint Research
  • [Presentation] Implementation in undominated strategies with applications to auction design, public good provision and matching2020

    • Author(s)
      Nozomu Muto
    • Organizer
      ECONCLAVE’20
    • Related Report
      2020 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Implementation in undominated strategies with applications to economic environments2019

    • Author(s)
      Nozomu Muto
    • Organizer
      Workshop on Economic Design (WED 2019)
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research
  • [Presentation] Implementation in undominated strategies with applications to economic environments2019

    • Author(s)
      Nozomu Muto
    • Organizer
      The Lisbon Meetings in Game Theory and Applications
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research

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

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