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Fuzzy Coalitions and Solutions of Cooperative Games: Beyond the Market Solutions

Research Project

Project/Area Number 23530230
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) HÜSSEINOV Farhad  ビルケント大学, 経済学部, 教授 (50599488)
MIYAZAKI Kenji  法政大学, 経済学部, 教授 (10308009)
Project Period (FY) 2011 – 2013
Project Status Completed (Fiscal Year 2013)
Budget Amount *help
¥5,070,000 (Direct Cost: ¥3,900,000、Indirect Cost: ¥1,170,000)
Fiscal Year 2013: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Fiscal Year 2012: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2011: ¥2,340,000 (Direct Cost: ¥1,800,000、Indirect Cost: ¥540,000)
Keywordsファジイ提携 / ファジイ・コア配分 / 競争均衡配分 / 支持価格 / 交換経済 / 非同質的分割可能財 / 精緻ゲーム / ファジィ提携 / ファジィ・コア配分 / 協力ゲーム / コア配分 / 市場メカニズム
Research Abstract

In traditional market games, coalitional payoffs are allocated to each player contingent upon the agreement that players contribute every initial endowment to the coalitions they are participating. On the contrary, in fuzzy market games, players do not necessarily have to contribute every initial endowment to the coalitions and they are free to decide their degree of commitment by contributing partially their initial endowment to the coalitions. It is well known in the literature that in economies with homogeneous divisible commodities fuzzy core allocations coincide with competitive equilibrium allocations. Without fuzzy coalitions, in general there is a core allocation that cannot be realized through the market mechanism. Nevertheless, in this research, I demonstrated that fuzzy core allocations can be attained by the market mechanism.

Report

(4 results)
  • 2013 Annual Research Report   Final Research Report ( PDF )
  • 2012 Research-status Report
  • 2011 Research-status Report
  • Research Products

    (53 results)

All 2014 2013 2012 2011 Other

All Journal Article (14 results) (of which Peer Reviewed: 8 results) Presentation (38 results) Remarks (1 results)

  • [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
      2013 Annual Research Report 2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] Maharam-Types and Lyapunov's Theorem for Vector Measures on Banach Spaces2014

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

      Illinois Journal of Mathematics

      Volume: Forthcoming

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Maharam-types and Lyapunov's theorem for vector measures on Banach spaces2013

    • Author(s)
      NobusumiSagaraand M. Ali Khan
    • Journal Title

      Illinois Journal of Mathematics

      Volume: (近刊予定)

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] Existence of Efficient Envy-Free Allocations of a Heterogeneous Divisible Commodity with Nonadditive Utilities2013

    • Author(s)
      Farhad Husseinov and Nobusumi Sagara
    • Journal Title

      Social Choice and Welfare

      Volume: 41 Issue: 4 Pages: 923-940

    • DOI

      10.1007/s00355-012-0714-y

    • Related Report
      2013 Annual Research Report 2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] A Probabilistic Characterization of Exact Games on σ-Algebras2013

    • Author(s)
      Nobusumi Sagara
    • Journal Title

      Fuzzy Sets and Systems

      Volume: 216 Pages: 34-51

    • DOI

      10.1016/j.fss.2012.04.008

    • Related Report
      2013 Annual Research Report 2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] Representation of preference orderings with an infinite horizon : Time-additive separable utility in continuous time2013

    • Author(s)
      Nobusumi Sagara
    • Journal Title

      Journal of International Economic Studies

      Volume: no.27 Pages: 3-22

    • NAID

      120005255285

    • URL

      http://repo.lib.hosei.ac.jp/handle/10114/7928

    • Related Report
      2013 Final Research Report
  • [Journal Article] Concave Measures and the Fuzzy Core of Exchange Economies with Heterogeneous Divisible Commodities2012

    • Author(s)
      Farhad Husseinov and Nobusumi Sagara
    • Journal Title

      Fuzzy Sets and Systems

      Volume: 198 Pages: 70-82

    • DOI

      10.1016/j.fss.2011.12.021

    • Related Report
      2013 Final Research Report 2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] σ-代数上の選好順序と効用表現について2012

    • Author(s)
      佐柄信純
    • Journal Title

      宮崎憲治編『選好と国際マクロ経済学』,法政大学出版局

      Volume: 第2章 Pages: 33-46

    • Related Report
      2013 Final Research Report
  • [Journal Article] Representation of Preference Orderings with an Infinite Horizon: Time-Additive Separable Utility in Continuous Time2012

    • Author(s)
      Nobusumi Sagara
    • Journal Title

      Journal of International Economic Studies

      Volume: 27 Pages: 3-22

    • NAID

      120005255285

    • Related Report
      2012 Research-status Report
  • [Journal Article] A probabilistic characterization of exact games on σ-algebras2012

    • Author(s)
      Nobusumi Sagara
    • Journal Title

      Advances in Computational Intelligence, Communications in Computer and Information Science

      Volume: 300 Pages: 248-257

    • DOI

      10.1007/978-3-642-31724-8_24

    • ISBN
      9783642317231, 9783642317248
    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] σ-代数上の選好順序と効用表現について2012

    • Author(s)
      佐柄信純
    • Journal Title

      宮崎憲治編『選好と国際マクロ経済学』(法政大学出版局)

      Volume: 第2章 Pages: 33-46

    • Related Report
      2011 Research-status Report
  • [Journal Article] A new class of convex games on σ-algebras and the optimal partitioning of measurable spaces2011

    • Author(s)
      Nobusumi Sagara, Milan Vlach
    • Journal Title

      International Journal of Game Theory

      Volume: 40 Issue: 3 Pages: 617-630

    • DOI

      10.1007/s00182-010-0258-2

    • Related Report
      2013 Final Research Report 2011 Research-status Report
    • Peer Reviewed
  • [Journal Article] Fair division problems with nonadditive evaluations : Existence of solutions and representation of preference orderings2011

    • Author(s)
      Nobusumi Sagara
    • Journal Title

      In : J. Varela and S. Acuña (eds.), Handbook of Optimization Theory : Decision Analysis and Application, Nova Science Publishers, Hauppauge

      Pages: 153-184

    • Related Report
      2013 Final Research Report
  • [Journal Article] Fair Division Problems with Nonadditive Evaluations: Existence of Solutions and Representation of Preference Orderings2011

    • Author(s)
      Nobusumi Sagara
    • Journal Title

      J. Varela and S. Acuna (eds.), Handbook of Optimization Theory: Decision Analysis and Application, Nova Science Publishers, Hauppauge

      Volume: Chapter 7 Pages: 153-184

    • Related Report
      2011 Research-status Report
  • [Presentation] Weak sequential convergence in and an exact version of Fatou's lemma2014

    • Author(s)
      Nobusumi Sagara
    • Organizer
      日本数学会2014年度年会,実関数論分科会
    • Place of Presentation
      学習院大学・目白キャンパス
    • Year and Date
      2014-03-17
    • Related Report
      2013 Final Research Report
  • [Presentation] The bang-bang and purification principles in infinite-dimensional spaces : Additional characterizations of saturation property2014

    • Author(s)
      Nobusumi Sagara
    • Organizer
      V Workshop on Equilibrium Analysis
    • Place of Presentation
      イタリア,Department of Economics and Statistics, University of Naples Federico II
    • Year and Date
      2014-01-25
    • Related Report
      2013 Final Research Report
  • [Presentation] The bang-bang and purification principles in infinite-dimensional spaces: Additional characterizations of saturation property2014

    • Author(s)
      Nobusumi Sagara
    • Organizer
      V Workshop on Equilibrium Analysis
    • Place of Presentation
      イタリア,Department of Economics and Statistics, University of Naples Federico II
    • Related Report
      2013 Annual Research Report
  • [Presentation] Weak sequential convergence in L^1(\mu,X) and an exact version of Fatou's lemma2014

    • Author(s)
      佐柄信純
    • Organizer
      日本数学会2014年度年会,実関数論分科会
    • Place of Presentation
      学習院大学・目白キャンパス
    • Related Report
      2013 Annual Research Report
  • [Presentation] Weak sequential convergence in and an exact version of Fatou's lemma2013

    • Author(s)
      Nobusumi Sagara
    • Organizer
      The International Conference on Nonlinear Analysis and Optimization
    • Place of Presentation
      台湾・高雄,国立中山大学
    • Year and Date
      2013-12-22
    • Related Report
      2013 Final Research Report
  • [Presentation] Fuzzy extensions of cooperative games and the coincidence of Weber sets2013

    • Author(s)
      Nobusumi Sagara
    • Organizer
      The 9th International Conference on Optimization : Techniques and Applications
    • Place of Presentation
      台湾・台北,国立台湾科技大学
    • Year and Date
      2013-12-15
    • Related Report
      2013 Final Research Report
  • [Presentation] The bang-bang and purification principles in infinite-dimensional spaces : Additional characterizations of saturation property2013

    • Author(s)
      佐柄信純
    • Organizer
      数理経済学会「経済の数理解析」研究集会
    • Place of Presentation
      慶應義塾大学・三田キャンパス
    • Year and Date
      2013-12-08
    • Related Report
      2013 Final Research Report
  • [Presentation] The bang-bang and purification principles in infinite-dimensional spaces : Additional characterizations of saturation property2013

    • Author(s)
      M. Ali Khan
    • Organizer
      Modeling Market Dynamics and Equilibrium-New Challenges, New Horizons
    • Place of Presentation
      ドイツ,Hausdorff Research Institute for Mathematics, University of Bonn
    • Year and Date
      2013-08-22
    • Related Report
      2013 Final Research Report
  • [Presentation] Fuzzy extensions of cooperative games and the coincidence of Weber sets2013

    • Author(s)
      佐柄信純
    • Organizer
      The 9th International Conference on Optimization : Techniques and Applications,第2回マクロ政策分析研究会科研費プロジェクト「平均限界税率をもちいた日本経済のマクロ政策分析」研究成果発表ワークショップ
    • Place of Presentation
      新潟産業大学経済学部
    • Year and Date
      2013-08-08
    • Related Report
      2013 Final Research Report
  • [Presentation] The purification and bang-bang principles in infinite-dimensional spaces : Additional characterizations of saturation property2013

    • Author(s)
      Nobusumi Sagara
    • Organizer
      The 2013 ASIAN MEETING of the Econometric Society (AMES2013)
    • Place of Presentation
      シンガポール,Department of Economics, National University of Singapore
    • Year and Date
      2013-08-04
    • Related Report
      2013 Final Research Report
  • [Presentation] The purification and bang-bang principles in infinite-dimensional spaces : Additional characterizations of saturation property2013

    • Author(s)
      Nobusumi Sagara
    • Organizer
      SIAM Conference on Control & Its Applications
    • Place of Presentation
      アメリカ,San Diego, Town and Country Resort & Convention Center
    • Year and Date
      2013-07-10
    • Related Report
      2013 Final Research Report
  • [Presentation] General equilibrium theory with goods and bads : A sixty-year old retrospective2013

    • Author(s)
      M. Ali Khan
    • Organizer
      GEdays 2013
    • Place of Presentation
      イギリス,University of York
    • Year and Date
      2013-06-04
    • Related Report
      2013 Final Research Report
  • [Presentation] Maharam-Types and Lyapunov's Theorem for Vector Measures on Banach Spaces2013

    • Author(s)
      佐柄信純
    • Organizer
      日本数学会2013年度年会,実関数論分科会
    • Place of Presentation
      京都大学・吉田キャンパス
    • Related Report
      2013 Final Research Report
  • [Presentation] The purification and bang-bang principles in infinite-dimensional spaces: Additional characterizations of saturation property2013

    • Author(s)
      Nobusumi Sagara
    • Organizer
      SIAM Conference on Control & Its Applications
    • Place of Presentation
      アメリカ,San Diego, Town and Country Resort & Convention Center
    • Related Report
      2013 Annual Research Report
  • [Presentation] The purification and bang-bang principles in infinite-dimensional spaces: Additional characterizations of saturation property2013

    • Author(s)
      Nobusumi Sagara
    • Organizer
      Asian Meeting of the Econometric Society
    • Place of Presentation
      シンガポール, Department of Economics, National University of Singapore
    • Related Report
      2013 Annual Research Report
  • [Presentation] The bang-bang and purification principles in infinite-dimensional spaces: Additional characterizations of saturation property2013

    • Author(s)
      M. Ali Khan
    • Organizer
      Modeling Market Dynamics and Equilibrium - New Challenges, New Horizons
    • Place of Presentation
      ドイツ,Hausdorff Research Institute for Mathematics, University of Bonn
    • Related Report
      2013 Annual Research Report
  • [Presentation] Fuzzy extensions of cooperative games and the coincidence of Weber sets2013

    • Author(s)
      佐柄信純
    • Organizer
      第2回マクロ政策分析研究会科研費プロジェクト「平均限界税率をもちいた日本経済のマクロ政策分析」研究成果発表ワークショップ
    • Place of Presentation
      新潟産業大学経済学部
    • Related Report
      2013 Annual Research Report
  • [Presentation] The bang-bang and purification principles in infinite-dimensional spaces: Additional characterizations of saturation property2013

    • Author(s)
      佐柄信純
    • Organizer
      数理経済学会「経済の数理解析」研究集会
    • Place of Presentation
      慶應義塾大学・三田キャンパス
    • Related Report
      2013 Annual Research Report
  • [Presentation] Fuzzy extensions of cooperative games and the coincidence of Weber sets2013

    • Author(s)
      Nobusumi Sagara
    • Organizer
      The 9th International Conference on Optimization: Techniques and Applications
    • Place of Presentation
      台湾・台北,国立台湾科技大学
    • Related Report
      2013 Annual Research Report
  • [Presentation] Weak sequential convergence in L^1(\mu,X) and an exact version of Fatou's lemma2013

    • Author(s)
      Nobusumi Sagara
    • Organizer
      The International Conference on Nonlinear Analysis and Optimization
    • Place of Presentation
      台湾・高雄,国立中山大学
    • Related Report
      2013 Annual Research Report
  • [Presentation] 衡平分割理論と非加法的測度についての総合報告2012

    • Author(s)
      佐柄信純
    • Organizer
      第1回マクロ政策分析研究会科研費プロジェクト「平均限界税率をもちいた日本経済のマクロ政策分析」研究成果発表ワークショップ
    • Place of Presentation
      信州大学経済学部
    • Year and Date
      2012-08-11
    • Related Report
      2013 Final Research Report
  • [Presentation] Existence of efficient envy-free allocations of a heterogeneous divisible commodity with nonadditive utilities2012

    • Author(s)
      Nobusumi Sagara
    • Organizer
      GAMES2012–Fourth World Congress of the Game Theory Society
    • Place of Presentation
      トルコ,Istanbul, Bilgi University
    • Year and Date
      2012-07-22
    • Related Report
      2013 Final Research Report
  • [Presentation] A probabilistic characterization of exact games onσ-algebras2012

    • Author(s)
      Nobusumi Sagara
    • Organizer
      14th International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems
    • Place of Presentation
      イタリア,Catania, Palazzo delle Scienze
    • Year and Date
      2012-07-10
    • Related Report
      2013 Final Research Report
  • [Presentation] A probabilistic characterization of exact games onσ-algebras2012

    • Author(s)
      佐柄信純
    • Organizer
      日本数学会2012年度年会
    • Place of Presentation
      東京理科大学神楽坂キャンパス
    • Year and Date
      2012-03-27
    • Related Report
      2013 Final Research Report
  • [Presentation] Existence of efficient envy-free allocations of a heterogeneous divisible commodity with nonadditive utilities2012

    • Author(s)
      Nobusumi Sagara
    • Organizer
      International Symposium on Nonlinear Analysis and Optimization 2012
    • Place of Presentation
      韓国・釜山,釜慶大学校
    • Year and Date
      2012-02-08
    • Related Report
      2013 Final Research Report
  • [Presentation] Existence of efficient envy-free allocations of a heterogeneous divisible commodity with nonadditive utilities2012

    • Author(s)
      Nobusumi Sagara
    • Organizer
      International Symposium on Nonlinear Analysis and Optimization 2012
    • Place of Presentation
      韓国・釜山、釜慶大学校
    • Related Report
      2011 Research-status Report
  • [Presentation] A probabilistic characterization of exact games on σ-algebras2012

    • Author(s)
      佐柄信純
    • Organizer
      日本数学会2012年度年会
    • Place of Presentation
      東京理科大学神楽坂キャンパス
    • Related Report
      2011 Research-status Report
  • [Presentation] Concave measures and the fuzzy core of exchange economies with heterogeneous divisible commodities2011

    • Author(s)
      佐柄信純
    • Organizer
      日本OR学会秋季研究発表会
    • Place of Presentation
      甲南大学
    • Year and Date
      2011-09-16
    • Related Report
      2013 Final Research Report 2011 Research-status Report
  • [Presentation] A probabilistic characterization of exact games onσ-algebras2011

    • Author(s)
      Nobusumi Sagara
    • Organizer
      The Seventh International Conference on Nonlinear Analysis and Convex Analysis
    • Place of Presentation
      韓国・釜山,釜慶大学校
    • Year and Date
      2011-08-03
    • Related Report
      2013 Final Research Report
  • [Presentation] Concave measures and the fuzzy core of exchange economies with heterogeneous divisible commodities2011

    • Author(s)
      Nobusumi Sagara
    • Organizer
      The 7th Conference of the European Society for Fuzzy Logic and Technology
    • Place of Presentation
      フランス,Aix-les-Bains
    • Year and Date
      2011-07-21
    • Related Report
      2013 Final Research Report
  • [Presentation] A probabilistic characterization of exact games onσ-algebras2011

    • Author(s)
      Nobusumi Sagara
    • Organizer
      11th SAET Conference
    • Place of Presentation
      ポルトガル,Ancao
    • Year and Date
      2011-06-27
    • Related Report
      2013 Final Research Report
  • [Presentation] A probabilistic characterization of exact games on σ-algebras2011

    • Author(s)
      Nobusumi Sagara
    • Organizer
      11th SAET Conference
    • Place of Presentation
      ポルトガル、Ancao
    • Related Report
      2011 Research-status Report
  • [Presentation] Concave measures and the fuzzy core of exchange economies with heterogeneous divisible commodities2011

    • Author(s)
      Nobusumi Sagara
    • Organizer
      EUSFLAT-LFA 2011
    • Place of Presentation
      フランス、Aix-les-Bains
    • Related Report
      2011 Research-status Report
  • [Presentation] A probabilistic characterization of exact games on σ-algebras2011

    • Author(s)
      Nobusumi Sagara
    • Organizer
      The 7th International Conference on Nonlinear Analysis and Convex Analysis
    • Place of Presentation
      韓国・釜山、釜慶大学校
    • Related Report
      2011 Research-status Report
  • [Presentation] A probabilistic characterization of exact games on σ-algebras

    • Author(s)
      Nobusumi Sagara
    • Organizer
      14th International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems
    • Place of Presentation
      イタリア,Catania, Palazzo delle Scienze
    • Related Report
      2012 Research-status Report
  • [Presentation] Existence of efficient envy-free allocations of a heterogeneous divisible commodity with nonadditive utilities

    • Author(s)
      Nobusumi Sagara
    • Organizer
      GAMES2012: The 4th World Congress of the Game Theory Society
    • Place of Presentation
      トルコ,Istanbul, Bilgi University
    • Related Report
      2012 Research-status Report
  • [Presentation] 衡平分割理論と非加法的測度についての綜合報告

    • Author(s)
      佐柄信純
    • Organizer
      第1回マクロ政策分析研究会科研費プロジェクト「平均限界税率をもちいた日本経済のマクロ政策分析」研究成果発表ワークショップ
    • Place of Presentation
      信州大学経済学部
    • Related Report
      2012 Research-status Report
  • [Presentation] Maharam-types and Lyapunov's theorem for vector measures on Banach spaces

    • Author(s)
      Nobusumi Sagara
    • Organizer
      日本数学会2013年度年会
    • Place of Presentation
      京都大学
    • Related Report
      2012 Research-status Report
  • [Remarks]

    • URL

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

    • Related Report
      2013 Final Research Report

URL: 

Published: 2011-08-05   Modified: 2019-07-29  

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