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Game theoretic analysis for collective choice problems and the strategy-proofness

Research Project

Project/Area Number 19710135
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeSingle-year Grants
Research Field Social systems engineering/Safety system
Research InstitutionDaito Bunka University

Principal Investigator

UMEZAWA Masashi  Daito Bunka University, 経営学部, 准教授 (20361305)

Project Period (FY) 2007 – 2009
Project Status Completed (Fiscal Year 2009)
Budget Amount *help
¥2,490,000 (Direct Cost: ¥2,100,000、Indirect Cost: ¥390,000)
Fiscal Year 2009: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2008: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2007: ¥800,000 (Direct Cost: ¥800,000)
KeywordsOR / 意思決定 / ゲーム理論 / 社会選択理論 / 応用数学 / モデル化
Research Abstract

This research is about collective choice rules that choose a subset of alternative set, given each individual's preference over the alternatives. If some individual can secure a single outcome that he prefers to the single outcome when he is honest by falsifying his preference, the procedure is manipulable. Nonmanipulable voting rules are called strategy-proof. In particular, this study focused on the strategy-proof collective choice rules. The main results show that Pareto rule is coalitionally strategy-proof in a max-min sense, and that the maximal rule with the coalitionally strategy-proofness and nonimposition property is the Pareto rule.

Report

(4 results)
  • 2009 Annual Research Report   Final Research Report ( PDF )
  • 2008 Annual Research Report
  • 2007 Annual Research Report
  • Research Products

    (14 results)

All 2009 2008 2007

All Journal Article (6 results) (of which Peer Reviewed: 5 results) Presentation (8 results)

  • [Journal Article] Coalitionally strategy-proof social choice correspondences and the Pareto rule2009

    • Author(s)
      Umezawa, M.
    • Journal Title

      Social Choice and Welfare 33(1)

      Pages: 151-158

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Coalitionally Strategy-Proof Social Choice Correspondences and the Pareto Rule2009

    • Author(s)
      Masashi Umezawa
    • Journal Title

      Social Choice and Welfare Vol.33

      Pages: 151-158

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Modified Structural Modeling Method and Its Application -Behavior Analysis of Passengers for East Japan Railway Company-2008

    • Author(s)
      Nagata, K., M. Umezawa, D. Cui, M. Amagasa
    • Journal Title

      Industrial Engineering, Management Systems 7(3)

      Pages: 245-256

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] 最小費用ネットワーク構築ゲームにおけるコアに属する配分について2008

    • Author(s)
      梅澤 正史
    • Journal Title

      経営論集(大東文化大学経営学会) 15

      Pages: 17-24

    • NAID

      110007149662

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Modified Structural Modeling Method and Its Application -Behavior Analysis of Passengers for East Japan Railway Company2008

    • Author(s)
      K. Nagata, M. Umezawa, M. Amaaasa. and D. Cui
    • Journal Title

      Industrial Engineering & Management Systems 7

      Pages: 245-256

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 最小費用ネットワーク構築ゲームにおけるコアに属する配分について2008

    • Author(s)
      梅澤 正史
    • Journal Title

      経営論集 (大東文化大学経営学会) 15

      Pages: 17-24

    • NAID

      110007149662

    • Related Report
      2007 Annual Research Report
  • [Presentation] The replacement principle for the provision of multiple public goods on tree networks2009

    • Author(s)
      梅澤正史
    • Organizer
      経済学・ゲーム理論セミナー
    • Place of Presentation
      筑波大学
    • Year and Date
      2009-09-17
    • Related Report
      2009 Final Research Report
  • [Presentation] 協調的操作不可能な社会選択対応とパレートルールについて2009

    • Author(s)
      梅澤正史
    • Organizer
      日本オペレーションズ・リサーチ学会2009年秋季研究発表会
    • Place of Presentation
      長崎大学
    • Year and Date
      2009-09-09
    • Related Report
      2009 Final Research Report
  • [Presentation] 協調的操作不可能な社会選択対応とパレートルールについて2009

    • Author(s)
      梅澤正史
    • Organizer
      日本オペレーションズ・リサーチ学
    • Place of Presentation
      長崎大学
    • Year and Date
      2009-09-09
    • Related Report
      2009 Annual Research Report
  • [Presentation] 社会選択と施設配置問題について2009

    • Author(s)
      梅澤正史
    • Organizer
      大東文化大学経営研究所研究部会
    • Place of Presentation
      大東文化大学
    • Year and Date
      2009-07-28
    • Related Report
      2009 Final Research Report
  • [Presentation] Coalitionally strategy-proof social choice correspondences and the Pareto rule2008

    • Author(s)
      Masashi Umezawa
    • Organizer
      The Third World Congress of the Game Theory Societv
    • Place of Presentation
      Northwestern Univ., IL, USA.
    • Year and Date
      2008-07-14
    • Related Report
      2008 Annual Research Report
  • [Presentation] Coalitionally Strategy- Proof Social Choice Correspondences and the Pareto Rule2008

    • Author(s)
      梅澤正史
    • Organizer
      The Third World Congress of the Game Theory Society
    • Place of Presentation
      Evanston, IL, USA
    • Related Report
      2009 Final Research Report
  • [Presentation] 社会選択対応におけるパレートルールの協調的操作不可能性について2007

    • Author(s)
      梅澤正史
    • Organizer
      日本オペレーションズ・リサーチ学会夏季セミナー(SSOR)
    • Place of Presentation
      静岡県伊東市ホテル聚楽
    • Year and Date
      2007-08-29
    • Related Report
      2009 Final Research Report
  • [Presentation] 社会選択対応におけるパレートルールの協調的操作不可能性について2007

    • Author(s)
      梅澤 正史
    • Organizer
      日本オペレーションズ・リサーチ学会夏季セミナー
    • Place of Presentation
      伊東 ホテル聚楽
    • Year and Date
      2007-08-29
    • Related Report
      2007 Annual Research Report

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Published: 2007-04-01   Modified: 2016-04-21  

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