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2009 Fiscal Year Final Research Report

Intertemporal resource allocation and intergenerational equity : compatibility of efficiency and equity

Research Project

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Project/Area Number 18610003
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field 世代間衡平性
Research InstitutionHosei University

Principal Investigator

SAGARA Nobusumi  Hosei University, 経済学部, 教授 (90286005)

Co-Investigator(Kenkyū-buntansha) MILAN Vlach  京都情報大学院大学, 応用技術研究課, 教授 (40291372)
Project Period (FY) 2006 – 2009
Keywords世代間衡平性 / 効率性 / 異時点間資源配分
Research Abstract

I have investigated the following three theoretical aspects of intertemporal resource allocations : (1) a characterization of optimal paths for economic growth ; (2) representation of intertemporal preferences by utility functions ; (3) solutions to fair division problems. I have proved the existence of optimal path for economies with increasing returns in which a representative agent possesses a recursive utility function that endogenizes time preference for consumption paths. In the fair division problem, I have demonstrated the existence of solutions which satisfy both efficiency and fairness.

  • Research Products

    (56 results)

All 2010 2009 2008 2007 2006 Other

All Journal Article (23 results) (of which Peer Reviewed: 11 results) Presentation (32 results) Remarks (1 results)

  • [Journal Article] Convexity of the lower partition range of a concave vector measure2010

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

      Advances in Mathematical Economics Vol.13

      Pages: 155-160

    • Peer Reviewed
  • [Journal Article] Value functions and transversality conditions for infinite-horizon optimal control problems2010

    • Author(s)
      Nobusumi Sagara
    • Journal Title

      Set-Valued and Variational Analysis Vol.18

      Pages: 1-28

  • [Journal Article] A Lyapunov-type theorem for nonadditive vector measures, Modeling Decisions for Artificial Intelligence, Lecture Notes in Artificial Intelligence2010

    • Author(s)
      Nobusumi Sagara, V. Torra, Y. Narukawa, M. Inuiguchi
    • Journal Title

      Springer-Verlag, Berlin Vol.5861

      Pages: 72-80

    • Peer Reviewed
  • [Journal Article] Value functions and transversality conditions for infinite-horizon optimal control problems, Proceedings of the Asian Conference on Nonlinear Analysis and Optimization2009

    • Author(s)
      Nobusumi Sagara, S. Akashi, W. Takahashi, T. Tanaka
    • Journal Title

      Yokohama Publishers, Yokohama

      Pages: 301-330

    • Peer Reviewed
  • [Journal Article] Representation of preference orderings with an infinite horizon: Time additive separable utility in continuous time, Numerical Analysis and Applied Mathematics: International Conference on Numerical Analysis and Applied Mathematics2009

    • Author(s)
      Nobusumi Sagara, T.E. Simos, G. Psihoyios, Ch. Tsitouras
    • Journal Title

      American Institute of Physics, Melville, New York Vol.2,No.1168

      Pages: 957-960

  • [Journal Article] A new class of convex games onσ-algebras and the optimal partitioning of measurable spaces2009

    • Author(s)
      Nobusumi Sagara, Milan Vlach, V. Novak, V. Pavliska, M. Stepnicka
    • Journal Title

      Proceedings of 12th Czech-Japan Seminar on Data Analysis and Decision Making under Uncertainty

      Pages: 111-120

  • [Journal Article] Value functions and transversality conditions for infinite-horizon optimal control problems2009

    • Author(s)
      佐柄信純
    • Journal Title

      京都大学数理解析研究所講究録 No.1654

      Pages: 35-55

  • [Journal Article] Convex functions onσ-algebras of nonatomic measure spaces2009

    • Author(s)
      Nobusumi Sagara, Milan Vlach, S.-B. Hsu, H.-C. Lai, L.-J. Lin, W. Takahashi, T. Tanaka, J.-C. Yao
    • Journal Title

      Proceedings of the Fifth International Conference on Nonlinear Analysis and Convex Analysis, Yokohama Publishers, Yokohama

      Pages: 161-179

    • Peer Reviewed
  • [Journal Article] Representation of preference relations onσ-algebras of nonatomic measure spaces: Convexity and continuity2009

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

      Fuzzy Sets and Systems Vol.160

      Pages: 624-634

    • Peer Reviewed
  • [Journal Article] Value functions and transversality conditions for optimal control problems with an infinite horizon2008

    • Author(s)
      Nobusumi Sagara, H.A. Le Thi, P. Bouvry, T. Pham Dinh
    • Journal Title

      Modelling, Computation and Optimization in Information Systems and Management Sciences, Springer-Verlag, Berlin

      Pages: 279-288

    • Peer Reviewed
  • [Journal Article] Representation of preference orderings on Lp-spaces by integral functionals: Discounting, continuity and TAS utility2008

    • Author(s)
      Nobusumi Sagara
    • Journal Title

      Proceedings in Applied Mathematics and Mechanics Vol.7,Issue1

      Pages: 2030007-2030008

    • Peer Reviewed
  • [Journal Article] A characterization ofα-maximin solutions of fair division problems2008

    • Author(s)
      Nobusumi Sagara
    • Journal Title

      Mathematical Social Sciences Vol.55

      Pages: 273-280

    • Peer Reviewed
  • [Journal Article] Fuzzy coalitions in partitioning a measurable space2007

    • Author(s)
      Nobusumi Sagara, B. Wu, J. Watada
    • Journal Title

      Proceedings of 4th Taiwan-Japan Symposium on Fuzzy Systems & Innovational Computing

      Pages: 77-85

  • [Journal Article] Convex functions onσ-algebras of nonatomic measure spaces2007

    • Author(s)
      Nobusumi Sagara, M. Fukushima
    • Journal Title

      Proceedings of the 7th International Conference on Optimization: Techniques and Applications (CD-ROM)

  • [Journal Article] Representation of preference relations onσ-algebras of nonatomic measure spaces2007

    • Author(s)
      Nobusumi Sagara, Milan Vlach, T. Kroupa, J. Vejnarova
    • Journal Title

      Proceedings of 10th Czech-Japan Seminar on Data Analysis and Decision-Making under Uncertainty

      Pages: 166-177

  • [Journal Article] Representation of preference relations onσ-algebras of nonatomic measure spaces2007

    • Author(s)
      Nobusumi Sagara, Milan Vlach, P.D. Tao
    • Journal Title

      Proceedings of Nonconvex Programming. Local & Global Approaches: Theory, Algorithm and Applications

      Pages: 254-255

  • [Journal Article] Representation of preference orderings on p L-spaces by integral functionals: Myopia, continuity and TAS utility2007

    • Author(s)
      佐柄信純
    • Journal Title

      京都大学数理解析研究所講究録 No.1557

      Pages: 59-70

  • [Journal Article] Sensitivity analysis of stationary states in optimal growth: A differentiable approach2007

    • Author(s)
      Nobusumi Sagara
    • Journal Title

      Hitotsubashi Journal of Economics Vol.48

      Pages: 57-66

    • Peer Reviewed
  • [Journal Article] 荷重付きSobolev空間における非凸変分問題の存在定理と表現定理2007

    • Author(s)
      佐柄信純
    • Journal Title

      三田学会雑誌 99巻4号

      Pages: 153-172

  • [Journal Article] Nonconvex variational problem with recursive integral functionals in Sobolev spaces: Existence and representation2007

    • Author(s)
      Nobusumi Sagara
    • Journal Title

      Journal of Mathematical Analysis and Applications Vol.327

      Pages: 203-219

    • Peer Reviewed
  • [Journal Article] An existence result on partitioning of a measurable space: Pareto optimality and core2006

    • Author(s)
      Nobusumi Sagara
    • Journal Title

      Kybernetika Vol.42

      Pages: 475-481

    • Peer Reviewed
  • [Journal Article] Representation of convex preferences in a non-atomic measure space:ε-Pareto optimality andε-core in cake division2006

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

      Proceedings of Taiwan-Japan Symposium on Fuzzy Systems and Innovational Computing

      Pages: 170-179

  • [Journal Article] Representation of convex preferences in a measure space: Pareto optimality and core in cake division2006

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

      京都大学数理解析研究所講究録 No.1488

      Pages: 60-76

  • [Presentation] Value functions and transversality conditions for infinite-horizon optimal control problems2010

    • Author(s)
      佐柄信純
    • Organizer
      日本オペレーションズ・リサーチ学会2010年春季研究発表会
    • Place of Presentation
      首都大学東京
    • Year and Date
      2010-03-04
  • [Presentation] A Lyapunov-type theorem for nonadditive vector measures2009

    • Author(s)
      Nobusumi Sagara
    • Organizer
      The 6th International Conference on Modeling Decisions for Artificial Intelligence
    • Place of Presentation
      淡路夢舞台国際会議場
    • Year and Date
      2009-11-30
  • [Presentation] A Lyapunov-type theorem for nonadditive vector measures2009

    • Author(s)
      obusumi Sagara
    • Organizer
      Workshop on Mathematical Economics
    • Place of Presentation
      慶應義塾大学
    • Year and Date
      2009-11-14
  • [Presentation] A new class of convex games onσ-algebras and the optimal partitioning of measurable spaces2009

    • Author(s)
      佐柄信純
    • Organizer
      日本応用数理学会2009年度年会
    • Place of Presentation
      大阪大学
    • Year and Date
      2009-09-29
  • [Presentation] Representation of preference orderings with an infinite horizon: Time additive separable utility in continuous time2009

    • Author(s)
      Nobusumi Sagara
    • Organizer
      7th International Conference of Numerical Analysis and Applied Mathematics
    • Place of Presentation
      ギリシア・クレタ島
    • Year and Date
      2009-09-21
  • [Presentation] A new class of convex games onσ-algebras and the optimal partitioning of measurable spaces2009

    • Author(s)
      Nobusumi Sagara
    • Organizer
      12th Czech-Japan Seminar on Data Analysis and Decision Making under Uncertainty
    • Place of Presentation
      チェコ・Litomysl
    • Year and Date
      2009-09-13
  • [Presentation] A Lyapunov-type theorem for nonadditive vector measures2009

    • Author(s)
      Nobusumi Sagara
    • Organizer
      20th International Symposium on Mathematical Programming
    • Place of Presentation
      アメリカ・シカゴ
    • Year and Date
      2009-08-24
  • [Presentation] A new class of convex games onσ-algebras and the optimal partitioning of measurable spaces2009

    • Author(s)
      Nobusumi Sagara
    • Organizer
      The Sixth Asian General Equilibrium Theory Workshop
    • Place of Presentation
      早稲田大学
    • Year and Date
      2009-07-31
  • [Presentation] Value functions and transversality conditions for infinite-horizon optimal control problems2009

    • Author(s)
      Nobusumi Sagara
    • Organizer
      SIAM Conference on Control & Its Applications
    • Place of Presentation
      アメリカ・デンバー
    • Year and Date
      2009-07-06
  • [Presentation] Equity and efficiency in fair division problems with nonadditive evaluations2009

    • Author(s)
      Nobusumi Sagara
    • Organizer
      CORS-INFORMS International, Tronto
    • Place of Presentation
      カナダ・トロント
    • Year and Date
      2009-06-16
  • [Presentation] Representation of preference orderings with an infinite horizon: Time additive separable utility in continuous time2009

    • Author(s)
      Nobusumi Sagara
    • Organizer
      The Sixth International Conference on Nonlinear Analysis and Convex Analysis
    • Place of Presentation
      東京工業大学
    • Year and Date
      2009-03-29
  • [Presentation] Efficiency and envy-freeness in fair division problems with nonadditive evaluations2009

    • Author(s)
      佐柄信純
    • Organizer
      日本オペレーションズ・リサーチ学会2009年春季研究発表会
    • Place of Presentation
      筑波大学
    • Year and Date
      2009-03-18
  • [Presentation] A new class of convex games onσ-algebras and the countable additivity of the core2009

    • Author(s)
      佐柄信純
    • Organizer
      一橋ゲーム理論ワークショップ2009
    • Place of Presentation
      一橋大学
    • Year and Date
      2009-03-07
  • [Presentation] Value functions and transversality conditions for infinite-horizon optimal control problems2008

    • Author(s)
      佐柄信純
    • Organizer
      「経済の数理解析」研究集会
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2008-11-29
  • [Presentation] Value functions and transversality conditions for optimal control problems with an infinite horizon2008

    • Author(s)
      Nobusumi Sagara
    • Organizer
      INFORMS Annual Meeting Washington D. C
    • Place of Presentation
      アメリカ・ワシントン
    • Year and Date
      2008-10-15
  • [Presentation] Value functions and transversality conditions for optimal control problems with an infinite horizon2008

    • Author(s)
      佐柄信純
    • Organizer
      日本数学会2008年度秋季総合分科会
    • Place of Presentation
      東京工業大学
    • Year and Date
      2008-09-25
  • [Presentation] Value functions and transversality conditions for infinite-horizon optimal control problems2008

    • Author(s)
      Nobusumi Sagara
    • Organizer
      sian Conference on Nonlinear Analysis and Optimization
    • Place of Presentation
      松江くにびきメッセ
    • Year and Date
      2008-09-15
  • [Presentation] Value functions and transversality conditions for optimal control problems with an infinite horizon2008

    • Author(s)
      Nobusumi Sagara
    • Organizer
      Modelling, Computation and Optimization in Information Systems and Management Sciences
    • Place of Presentation
      フランス・メッツ
    • Year and Date
      2008-09-08
  • [Presentation] Value functions and transversality conditions for optimal control problems with an infinite horizon2008

    • Author(s)
      Nobusumi Sagara
    • Organizer
      The 4th Sino-Japanese Optimization Meetings
    • Place of Presentation
      台湾・台南
    • Year and Date
      2008-08-27
  • [Presentation] Fuzzy coalitions in partitioning of a measurable space2007

    • Author(s)
      Nobusumi Sagara
    • Organizer
      Taiwan-Japan Symposium on Fuzzy Systems and Innovational Computing
    • Place of Presentation
      台湾・高雄
    • Year and Date
      20071224-20071228
  • [Presentation] Representation of preference relations onσ-algebras of nonatomic measure spaces: Convexity and continuity2007

    • Author(s)
      Nobusumi Sagara
    • Organizer
      The International Conference on Nonconvex Programming. Local and Global Approaches: Theory, Algorithms and Applications
    • Place of Presentation
      フランス・ルーアン
    • Year and Date
      2007-12-17
  • [Presentation] Convex functions onσ-algebras of nonatomic measure spaces2007

    • Author(s)
      Nobusumi Sagara
    • Organizer
      The 7th International Conference on Optimization: Techniques and Applications
    • Place of Presentation
      神戸国際会議場
    • Year and Date
      2007-12-14
  • [Presentation] Representation of preference relations onσ-algebras of nonatomic measure spaces: Convexity and continuity2007

    • Author(s)
      佐柄信純
    • Organizer
      日本応用数理学会年会
    • Place of Presentation
      北海道大学工学部
    • Year and Date
      2007-09-17
  • [Presentation] Representation of preference orderings on p L-spaces by integral functionals: Myopia, continuity and TAS utility2007

    • Author(s)
      Nobusumi Sagara
    • Organizer
      6th International Congress on Industrial and Applied Mathematics
    • Place of Presentation
      スイス・チューリッヒ
    • Year and Date
      2007-07-16
  • [Presentation] Convex functions onσ-algebras of nonatomic measure spaces2007

    • Author(s)
      Nobusumi Sagara
    • Organizer
      The Fifth International Conference on Nonlinear Analysis and Convex Analysis
    • Place of Presentation
      台湾・新竹
    • Year and Date
      2007-06-01
  • [Presentation] Representation of preference orderings on p L-spaces by integral functionals: Myopia, continuity and TAS utility2006

    • Author(s)
      佐柄信純
    • Organizer
      数理経済学研究センター研究集会「経済の数理解析」
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2006-12-10
  • [Presentation] An existence result on partitioning of a measurable space: Equity and efficiency2006

    • Author(s)
      佐柄信純
    • Organizer
      第10回計画数学関係研究集会「数理モデルによる決定とその応用」
    • Place of Presentation
      高知大学理学部
    • Year and Date
      2006-10-20
  • [Presentation] Nonconvex variational problem with recursive integral functionals in Sobolev spaces: Existence and representation2006

    • Author(s)
      Nobusumi Sagara
    • Organizer
      2006 International Symposium on Nonlinear Theory and its Applications
    • Place of Presentation
      イタリア・ボローニャ
    • Year and Date
      2006-09-12
  • [Presentation] Representation of Convex preferences in a non-atomic measure space:ε-Pareto optimality andε-core in cake division2006

    • Author(s)
      Nobusumi Sagara
    • Organizer
      Taiwan-Japan Symposium and Czech-Japan Seminar on Fuzzy Systems and Innovational Computing
    • Place of Presentation
      早稲田大学大学院情報生産システム研究科
    • Year and Date
      2006-08-20
  • [Presentation] Representation of preference orderings on p L-spaces by integral functionals: Myopia, continuity and TAS utility2006

    • Author(s)
      Nobusumi Sagara
    • Organizer
      21st European Conference on Operational Research
    • Place of Presentation
      アイスランド・レイキャビック
    • Year and Date
      2006-07-05
  • [Presentation] Nonconvex variational problem with recursive integral functionals in Sobolev spaces: Existence and representation2006

    • Author(s)
      Nobusumi Sagara
    • Organizer
      INFORMS International Conference in Hong Kong
    • Place of Presentation
      中国・香港
    • Year and Date
      2006-06-26
  • [Presentation] Representation of convex preferences in a measure space: Pareto optimality and core in cake division2006

    • Author(s)
      佐柄信純
    • Organizer
      日本経済学会春季大会
    • Place of Presentation
      福島大学
    • Year and Date
      2006-06-03
  • [Remarks] ホームページ等

    • URL

      http://kenkyu-web.i.hosei.ac.jp/Profiles/0003/0001572/profile.html

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Published: 2011-06-18   Modified: 2016-04-21  

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