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A Characterization of Solutions for Cooperative Fuzzy Games: Solutions via Markets and Mechanism Design

Research Project

Project/Area Number 26380246
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Economic theory
Research InstitutionHosei University

Principal Investigator

SAGARA Nobusumi  法政大学, 経済学部, 教授 (90286005)

Co-Investigator(Renkei-kenkyūsha) MIYAZAKI Kenji  法政大学, 経済学部, 教授 (10308009)
HOSOYA Yuhki  関東学院大学, 経済学部, 助教授 (30383954)
Research Collaborator Khan Mohammed Ali  ジョンズ・ホプキンス大学, 経済学部, 教授
Mordukhovich Boris S.  ウェイン州立大学, 理学部, 教授
SUZUKI Takashi  明治学院大学, 経済学部, 教授
Project Period (FY) 2014-04-01 – 2018-03-31
Project Status Completed (Fiscal Year 2017)
Budget Amount *help
¥4,810,000 (Direct Cost: ¥3,700,000、Indirect Cost: ¥1,110,000)
Fiscal Year 2017: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2016: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2015: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2014: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Keywordsファジィ協力ゲーム / コア / Weber集合 / ファジィ拡張 / Choquet積分 / 競争均衡 / 市場メカニズム / ファジィ・コア / ファジィWeber 集合 / Walras均衡 / パレート最適性 / 緩和経済 / ランダム化 / 凸化効果 / 純粋化 / ファジイ協力ゲーム / ファジィ提携
Outline of Final Research Achievements

The purpose of this research was to investigate cooperative behaviors of players with fuzzy coalitions, establish the method for deriving the solutions via market mechansim, and clarify its limitation to provide an insights into practical problems on group decision-making. Toward this end, we formulated the fuzzy extension to fuzzify cooperative games and characterized the class of fuzzy games and their fuzy extension such that the fuzzy core coincides with the original cooperative games. For the cooperative games that lack the core, we proposed the alternative concept, called a fuzzy Weber set, and charcaterized the fuzzy extensions such that the fuzzy Weber set coincides with the Weber set of the original cooperative game.

Report

(5 results)
  • 2017 Annual Research Report   Final Research Report ( PDF )
  • 2016 Research-status Report
  • 2015 Research-status Report
  • 2014 Research-status Report
  • Research Products

    (45 results)

All 2018 2017 2016 2015 2014 Other

All Int'l Joint Research (2 results) Journal Article (14 results) (of which Int'l Joint Research: 6 results,  Peer Reviewed: 12 results,  Acknowledgement Compliant: 10 results,  Open Access: 1 results) Presentation (26 results) (of which Int'l Joint Research: 14 results,  Invited: 1 results) Remarks (3 results)

  • [Int'l Joint Research] Johns Hopkins University/Wayne State University(米国)

    • Related Report
      2017 Annual Research Report
  • [Int'l Joint Research] Johns Hopkins University/Wayne State University(米国)

    • Related Report
      2016 Research-status Report
  • [Journal Article] Subdifferentials of Nonconvex Integral Functionals in Banach Spaces with Applications to Stochastic Dynamic Programming2018

    • Author(s)
      Boris S. Mordukhovich and Nobusumi Sagara
    • Journal Title

      Journal of Convex Analysis

      Volume: 25 Pages: 643-673

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Relaxation and Purification for Nonconvex Variational Problems in Dual Banach Spaces: The Minimization Principle in Saturated Measure Spaces2017

    • Author(s)
      Nobusumi Sagara
    • Journal Title

      SIAM Journal on Control and Optimization

      Volume: 55 Issue: 5 Pages: 3154-3170

    • DOI

      10.1137/16m1070463

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Fatou's Lemma, Galerkin Approximations and the Existence of Walrasian Equilibria in Infinite Dimensions2017

    • Author(s)
      M Ali Khan and Nobusumi Sagara
    • Journal Title

      Pure and Applied Functional Analysis

      Volume: 2 Pages: 317-355

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Relaxed large economies with infinite-dimensional commodity spaces: The existence of Walrasian equilibria2016

    • Author(s)
      M. Ali Khan and Nobusumi Sagara
    • Journal Title

      Journal of Mathematical Economics

      Volume: 67 Pages: 95-107

    • DOI

      10.1016/j.jmateco.2016.09.004

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] An exact Fatou lemma for Gelfand integrals: A characterization of the Fatou property2016

    • Author(s)
      M. Ali Khan, Nobusumi Sagara and Takashi Suzuki
    • Journal Title

      Positivity

      Volume: 20 Issue: 2 Pages: 343-354

    • DOI

      10.1007/s11117-015-0359-z

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Maharam-types and Lyapunov’s theorem for vector measures on locally convex spaces without control measures2016

    • Author(s)
      M. Ali Khan and Nobusumi Sagara
    • Journal Title

      Pure and Applied Functional Analysis

      Volume: 1 Pages: 47-62

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Maharam-types and Lyapunov's theorem for vector measures on locally convex spaces with control measures2015

    • Author(s)
      M. Ali Khan and Nobusumi Sagara
    • Journal Title

      Journal of Convex Analysis

      Volume: 22 Pages: 647-672

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Cores and Weber sets for fuzzy extensions of cooperative games2015

    • Author(s)
      Nobusumi Sagara
    • Journal Title

      Fuzzy Sets and Systems

      Volume: 272 Pages: 102-114

    • DOI

      10.1016/j.fss.2014.11.017

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] An Indirect Method of Nonconvex Variational Problems in Asplund Spaces: The Case for Saturated Measure Spaces2015

    • Author(s)
      Nobusumi Sagara
    • Journal Title

      SIAM Journal on Control and Optimization

      Volume: 53/1 Issue: 1 Pages: 336-351

    • DOI

      10.1137/140965570

    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] An Exact Fatou Lemma for Gelfand Integrals: Equivalence of the Saturation and Fatou Properties2015

    • Author(s)
      M. Ali Khan, Nobusumi Sagara, and Takashi Suzuki
    • Journal Title

      日本数学会2015年度年会 実関数論分科会講演アブストラクト

      Volume: - Pages: 87-88

    • Related Report
      2014 Research-status Report
    • Acknowledgement Compliant
  • [Journal Article] The Bang-Bang, Purification and Convexity Principles in Infinite-Dimensional Spaces: Additional Characterizations of Saturation Property2014

    • Author(s)
      M. Ali Khan and Nobusumi Sagara
    • Journal Title

      Set-Valued and Variational Analysis

      Volume: 22/4 Issue: 4 Pages: 721-746

    • DOI

      10.1007/s11228-014-0282-7

    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Weak Sequential Convergence in L^1(\mu,X) and an Exact Version of Fatou's Lemma2014

    • Author(s)
      M. Ali Khan and Nobusumi Sagara
    • Journal Title

      Journal of Mathematical Analysis and Applications

      Volume: 412 Issue: 1 Pages: 554-563

    • DOI

      10.1016/j.jmaa.2013.10.082

    • Related Report
      2014 Research-status Report
    • Peer Reviewed
  • [Journal Article] Fuzzy Weber sets and Lovasz Extensions of Cooperative Games2014

    • Author(s)
      Nobusumi Sagara
    • Journal Title

      A. Laurent et al. (Eds.): Information Processing and Management of Uncertainty in Knowledge-Based Systems, Communications in Computer and Information Science

      Volume: 442 Pages: 236-245

    • DOI

      10.1007/978-3-319-08795-5_25

    • ISBN
      9783319087948, 9783319087955
    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] 協力ゲームのファジィ拡張とWeber集合の一致について2014

    • Author(s)
      佐柄信純
    • Journal Title

      日本オペレーションズ・リサーチ学会春季研究発表会アブストラクト集

      Volume: - Pages: 134-135

    • Related Report
      2014 Research-status Report
    • Acknowledgement Compliant
  • [Presentation] Relaxation and purification for nonconvex variational problems in dual Banach spaces: The minimization principle in saturated measure spaces2017

    • Author(s)
      Nobusumi Sagara
    • Organizer
      日本数学会2017年度年会
    • Place of Presentation
      首都大学東京(東京都・八王子市)
    • Year and Date
      2017-03-26
    • Related Report
      2016 Research-status Report
  • [Presentation] Fatou’s Lemma, Galerkin Approximations and the Existence of Walrasian Equilibria in Infinite Dimensions2017

    • Author(s)
      Nobusumi Sagara
    • Organizer
      2017 Asian Meetings of Econometric Society
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Relaxed Large Economies with Infinite-Dimensional Commodity Spaces: The Existence of Walrasian Equilibria2017

    • Author(s)
      Nobusumi Sagara
    • Organizer
      17th SAET Conference on Current Trends in Economics
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Recursive Variational Problems in Nonreflexive Banach Spaces with an Infinite Horizon: An Existence Result2017

    • Author(s)
      Nobusumi Sagara
    • Organizer
      The 10th Anniversary Conference on Nonlinear Analysis and Convex Analysis
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Recursive Variational Problems in Nonreflexive Banach Spaces with an Infinite Horizon: An Existence Result2017

    • Author(s)
      Nobusumi Sagara
    • Organizer
      SIAM Conference on Control & Its Applications (CT17)
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Fatou’s Lemma, Galerkin Approximations and the Existence of Walrasian Equilibria in Infinite Dimensions2017

    • Author(s)
      Nobusumi Sagara
    • Organizer
      Positivity IX
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Subdifferentials of nonconvex integral functionals in Banach spaces with applications to stochastic dynamic programming2016

    • Author(s)
      Nobusumi Sagara
    • Organizer
      日本オペレーションズ・リサーチ学会秋季研究発表会
    • Place of Presentation
      山形大学(山形県・山形市)
    • Year and Date
      2016-09-15
    • Related Report
      2016 Research-status Report
  • [Presentation] Relaxation and purification for nonconvex variational problems in dual Banach spaces: The minimization principle in saturated measure spaces2016

    • Author(s)
      Nobusumi Sagara
    • Organizer
      The International Workshop on Nonlinear Analysis and Convex Analysis
    • Place of Presentation
      京都大学数理解析研究所(京都府・京都市)
    • Year and Date
      2016-08-31
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Presentation] Relaxation and purification for nonconvex variational problems in dual Banach spaces: The minimization principle in saturated measure spaces2016

    • Author(s)
      Nobusumi Sagara
    • Organizer
      10th IFAC Symposium on Nonlinear Control Systems
    • Place of Presentation
      アメリカ(モントレー)
    • Year and Date
      2016-08-25
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Presentation] Subdifferentials of nonconvex integral functionals in Banach spaces with applications to stochastic dynamic programming2016

    • Author(s)
      Nobusumi Sagara
    • Organizer
      The Fifth International Conference on Continuous Optimization
    • Place of Presentation
      政策研究大学院大学(東京都・港区)
    • Year and Date
      2016-08-11
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Presentation] Relaxed large economies with infinite-dimensional commodity spaces: The existence of Walrasian equilibria2016

    • Author(s)
      Nobusumi Sagara
    • Organizer
      The fifth Asian conference on Nonlinear Analysis and Optimization
    • Place of Presentation
      朱鷺メッセ(新潟県・新潟市)
    • Year and Date
      2016-08-04
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Presentation] Subdifferentials of nonconvex integral functionals in Banach spaces with applications to stochastic dynamic programming2016

    • Author(s)
      Nobusumi Sagara
    • Organizer
      The 10th International Conference on Optimization: Techniques and Applications
    • Place of Presentation
      モンゴル(ウランバートル)
    • Year and Date
      2016-07-25
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Presentation] Maharam-types and Lyapunov's theorem for vector measures on locally convex spaces without control measures2016

    • Author(s)
      Nobusumi Sagara
    • Organizer
      The 11th AIMS Conference on Dynamical Systems, Differential Equations and Applications
    • Place of Presentation
      アメリカ(モントレー)
    • Year and Date
      2016-07-03
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Presentation] Maharam-types and Lyapunov's theorem for vector measures on locally convex spaces without control measures2016

    • Author(s)
      佐柄信純
    • Organizer
      日本数学会2016年度年会
    • Place of Presentation
      筑波大学(茨城県・つくば市)
    • Year and Date
      2016-03-08
    • Related Report
      2015 Research-status Report
  • [Presentation] 衡平分割の数学理論:Lyapunov の凸性定理と非加法的測度の応用について2015

    • Author(s)
      佐柄信純
    • Organizer
      実解析学シンポジウム2015
    • Place of Presentation
      東邦大学(千葉県・船橋市)
    • Year and Date
      2015-10-25
    • Related Report
      2015 Research-status Report
  • [Presentation] Strongly measurable selectors of multifunctions in measure-compact Banach spaces2015

    • Author(s)
      Nobusumi Sagara
    • Organizer
      2015 RIMS Workshop on Nonlinear Analysis and Convex Analysis
    • Place of Presentation
      京都大学数理解析研究所(京都府・京都市)
    • Year and Date
      2015-09-09
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] Subdifferentials of nonconvex integral functionals in Banach spaces: A Gelfand integral representation2015

    • Author(s)
      Nobusumi Sagara
    • Organizer
      The Fifth International Symposium on BANACH and FUNCTION SPACES 2015
    • Place of Presentation
      九州工業大学(福岡県・北九州市)
    • Year and Date
      2015-09-05
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] Marx-Leontief体系における技術選択と価値の決定について2015

    • Author(s)
      佐柄信純
    • Organizer
      第7回マクロ政策分析研究会
    • Place of Presentation
      鹿児島大学(鹿児島県・鹿児島市)
    • Year and Date
      2015-08-19
    • Related Report
      2015 Research-status Report
  • [Presentation] Strongly measurable selectors of multifunctions in measure-compact Banach spaces2015

    • Author(s)
      Nobusumi Sagara
    • Organizer
      27th European Conference on Operational Research
    • Place of Presentation
      グラスゴー(イギリス)
    • Year and Date
      2015-07-14
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] Subdifferentials of nonconvex integral functionals in Banach spaces: A Gelfand integral representation2015

    • Author(s)
      Nobusumi Sagara
    • Organizer
      SIAM Conference on Control and Its Applications
    • Place of Presentation
      パリ(フランス)
    • Year and Date
      2015-07-08
    • Related Report
      2015 Research-status Report
  • [Presentation] An Exact Fatou Lemma for Gelfand integrals: Equivalence of the Saturation and Fatou Properties2015

    • Author(s)
      佐柄信純,鈴木岳,M. Ali Khan
    • Organizer
      日本数学会2015年度年会
    • Place of Presentation
      明治大学(東京都千代田区)
    • Year and Date
      2015-03-23
    • Related Report
      2014 Research-status Report
  • [Presentation] An Indirect Method of Nonconvex Variational Problems in Asplund Spaces: The Case for Saturated Measure Spaces2015

    • Author(s)
      Nobusumi Sagara
    • Organizer
      The 6th Conference on Mathematical Analysis in Economic Theory
    • Place of Presentation
      慶應義塾大学(東京都港区)
    • Year and Date
      2015-01-27
    • Related Report
      2014 Research-status Report
    • Invited
  • [Presentation] 協力ゲームのファジィ拡張とWeber集合の一致について2014

    • Author(s)
      佐柄信純
    • Organizer
      日本オペレーションズ・リサーチ学会秋季研究発表会
    • Place of Presentation
      北海道科学大学(北海道札幌市)
    • Year and Date
      2014-08-28
    • Related Report
      2014 Research-status Report
  • [Presentation] Fuzzy Weber Sets and Lovasz Extensions of Cooperative Games2014

    • Author(s)
      Nobusumi Sagara
    • Organizer
      14th SAET Conference on Current Trends in Economics
    • Place of Presentation
      早稲田大学(東京都新宿区)
    • Year and Date
      2014-08-21
    • Related Report
      2014 Research-status Report
  • [Presentation] An Indirect Method of Nonconvex Variational Problems in Asplund Spaces: The Case for Saturated Measure Spaces2014

    • Author(s)
      Nobusumi Sagara
    • Organizer
      The Fourth Asian Conference on Nonlinear Analysis and Optimization
    • Place of Presentation
      国立台湾師範大学(台湾・台北)
    • Year and Date
      2014-08-06
    • Related Report
      2014 Research-status Report
  • [Presentation] Fuzzy Weber Sets and Lovasz Extensions of Cooperative Games2014

    • Author(s)
      Nobusumi Sagara
    • Organizer
      15th International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems
    • Place of Presentation
      Montpellier SupAgro(フランス・モンペリエ)
    • Year and Date
      2014-07-15
    • Related Report
      2014 Research-status Report
  • [Remarks] 法政大学学術研究データベース

    • URL

      http://kenkyu-web.i.hosei.ac.jp/Profiles/16/0001572/profile.html

    • Related Report
      2017 Annual Research Report 2016 Research-status Report
  • [Remarks] Nobusumi Sagara's Working Papers

    • URL

      http://home.v00.itscom.net/nsagara/

    • Related Report
      2016 Research-status Report
  • [Remarks] 法政大学 学術研究データペース

    • URL

      http://kenkyu-web.i.hosei.ac.jp/Profiles/16/0001572/theses.html

    • Related Report
      2014 Research-status Report

URL: 

Published: 2014-04-04   Modified: 2022-06-07  

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