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曖昧性と不確実性を同時に含む環境下での戦略型非協力ゲームに関する研究

Research Project

Project/Area Number 18710133
Research Category

Grant-in-Aid for Young Scientists (B)

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

Principal Investigator

片桐 英樹  Hiroshima University, 大学院・工学研究科, 准教授 (40325147)

Project Period (FY) 2006 – 2007
Project Status Completed (Fiscal Year 2007)
Budget Amount *help
¥1,000,000 (Direct Cost: ¥1,000,000)
Fiscal Year 2007: ¥500,000 (Direct Cost: ¥500,000)
Fiscal Year 2006: ¥500,000 (Direct Cost: ¥500,000)
Keywordsファジィランダム変数 / ゲーム理論 / 非協力 / 非協力ゲーム
Research Abstract

1. 曖昧性と不確実性を同時に含む環境下でのn人非協力ゲーム
18年度の成果を拡張し,プレイヤーが3人以上存在する場合のn人非協力ゲームに対して均衡解の定義と計算の方法を与え,ごく簡単な数値実験を行った.
2. 感度分析による解析的な影響分析
曖昧性や不確実性の度合いの変化が最適反応戦略や均衡解に与える影響について理論的かつ定量的に考察するために,ファジィランダム変数を特徴付ける正規分布の平均と分散のパラメータやメンバシップ関数における広がりのパラメータに関して感度分析を行った.具体的には,18年度の研究成果により均衡解はある非線形計画問題の最適解として導出されるため,非線形計画における感度解析の手法を適用した.
3. 数値実験による影響分析
1. で行った応用問題に対してもパラメータを変化させて数値実験を行い,最適反応戦略や均衡関係への影響を明らかにした.

Report

(2 results)
  • 2007 Annual Research Report
  • 2006 Annual Research Report
  • Research Products

    (6 results)

All 2008 2007 2006

All Journal Article (5 results) (of which Peer Reviewed: 2 results) Presentation (1 results)

  • [Journal Article] An evolutionary multi-agent based search method for Stackelberg solutions of bilevel facility location problems2008

    • Author(s)
      Takeshi Uno
    • Journal Title

      International Journal of Innovative Computing, In formation and Control 4(印刷中)

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Stackelberg solutions to stochastic two-level linear programming problems2007

    • Author(s)
      Hideki Katagiri
    • Journal Title

      Proceedings of the 2007 IEEE Symposium on Computational Intelligence in Multicriteria Decision Making

      Pages: 240-244

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Interactive multiobjective linear programming : maximization of possibility and probability2007

    • Author(s)
      Hideki Katagiri
    • Journal Title

      European Journal of Operational Research (掲載决定)

    • Related Report
      2006 Annual Research Report
  • [Journal Article] A search of Stackelberg solutions with using evolutionary multi-agent systems for bi-level facility location problem2006

    • Author(s)
      Takeshi Uno
    • Journal Title

      Proceedings o Czech-Japan Seminar 2006 on Data Analysis & Decision Making under Uncertainty

      Pages: 29-34

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Agent-based simulation for generalized matching pennies games2006

    • Author(s)
      Ichiro Nishizaki
    • Journal Title

      Proceedings of Joint 3^<rd> International Conference on Soft Computing and 7^<th> International Symposium on Advanced Intelligent Systems

      Pages: 1530-1535

    • Related Report
      2006 Annual Research Report
  • [Presentation] Stackelberg solutions to stochastic two-level linear programming problems2007

    • Author(s)
      Hideki Katagiri
    • Organizer
      2007 IEEE Symposium on Computational Intelligence in Multicriteria Decision Making
    • Place of Presentation
      Honolulu, Hawaii, USA
    • Year and Date
      2007-04-03
    • Related Report
      2007 Annual Research Report

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Published: 2006-04-01   Modified: 2016-04-21  

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