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Studies on optimal values of sequential decision problems regarding to estimations

Research Project

Project/Area Number 19510150
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Social systems engineering/Safety system
Research InstitutionChiba University (2008)
Kyushu University (2007)

Principal Investigator

NAKAI Toru  Chiba University, 教育学部, 教授 (20145808)

Co-Investigator(Kenkyū-buntansha) IWAMOTO Seiichi  九州大学, 大学院・経済学研究院, 教授 (90037284)
TOKINAGA Shozo  九州大学, 大学院・経済学研究院, 教授 (30124134)
MESONO Yoshihiko  九州大学, 大学院・経済学研究院, 教授 (30173701)
MATSUMOTO Koichi  九州大学, 大学院・経済学研究院, 准教授 (30380687)
Project Period (FY) 2007 – 2008
Project Status Completed (Fiscal Year 2008)
Budget Amount *help
¥4,550,000 (Direct Cost: ¥3,500,000、Indirect Cost: ¥1,050,000)
Fiscal Year 2008: ¥2,080,000 (Direct Cost: ¥1,600,000、Indirect Cost: ¥480,000)
Fiscal Year 2007: ¥2,470,000 (Direct Cost: ¥1,900,000、Indirect Cost: ¥570,000)
Keywords最適化 / 多段決定問題 / マルコフ決定過程 / 動的計画法 / カーネル法 / 遺伝的アルゴリズム / 動的計画性 / 非決定的動的システム / 数理ファイナンス / 漸近展開 / フィボナッチ相補相対
Research Abstract

社会科学における評価に対して動的計画法を応用すること、とくに不完備情報の多段決定モデルとして解析するための取り扱い方やその理論を中心に考えた。その結果、部分観測可能なマルコフ過程における多段決定問題に評価の概念を入れることを、クレームに対処するモデルへの応用について、費用最小化問題に対する最適方程式に基づき、その最適解に関する性質の解析を行い、適当な条件の下でそれらの単調性が成り立つことが示された。

Report

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

    (49 results)

All 2009 2008 2007

All Journal Article (40 results) (of which Peer Reviewed: 30 results) Presentation (9 results)

  • [Journal Article] 評価と関連した不完備情報の多段決定問題について2009

    • Author(s)
      中井達
    • Journal Title

      京都大学数理解析研究所講究録 (掲載予定)

    • Related Report
      2008 Final Research Report
  • [Journal Article] A Sequential Decision Problem based on the Rate Depending on a rkov Process, Recent Advances in Stochastic Operations esearch II2009

    • Author(s)
      T. Nakai
    • Journal Title

      World Scientific Publishing(T. Dohi, S. Osaki, K. Sawaki) (出版予定)

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Edgeworth Expansion and Normalizing Transformation of Ratio Statistics and their Application2009

    • Author(s)
      Y. Maesono
    • Journal Title

      Communications in Statistics-Theory and Methods (掲載予定)

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] ノードへのフロー入力調整を含むネットワークにおけるプライシングのカオス性変動の解析とその抑制2009

    • Author(s)
      池田欽一, 時永祥三
    • Journal Title

      情報処理学会論文誌 vol.50(掲載予定)

    • NAID

      110007989925

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] 評価と関連した不完備情報の多段決定問題について2009

    • Author(s)
      中井達
    • Journal Title

      京都大学数理解析研究所講究録 (印刷中)

    • Related Report
      2008 Annual Research Report
  • [Journal Article] A Sequential Decision Problem bsed on the Rate Depending on a Markov Process2009

    • Author(s)
      T. Nakai
    • Journal Title

      Recent Advances in Stochastic Operations Research II (印刷中)

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Edgeworth Expansion and Normalizing Transformation of Ratio Statistics and their Application2009

    • Author(s)
      Yoshihiko Maesono
    • Journal Title

      Communications in Statistics-Theory and Methods (印刷中)

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] ノードへのフロー入力調整を含むネットワークにおけるプライシングのカオス変動の解析とその抑制2009

    • Author(s)
      池田欽一, 時永祥三
    • Journal Title

      情報処理学会論文誌 150(印刷中)

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 評価と関連した不完備情報の多段決定問題について2008

    • Author(s)
      中井達
    • Journal Title

      京都大学数理解析研究所講究録 1589

      Pages: 6-15

    • Related Report
      2008 Final Research Report
  • [Journal Article] Golden duality in dynamic optimization2008

    • Author(s)
      S. Iwamoto, A. Kira, M. Yasuda
    • Journal Title

      Proceedings of the Second Kosen Workshop Mathematics, Technology and Education

      Pages: 35-47

    • Related Report
      2008 Final Research Report 2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] ジャンプ過程を含む変数で記述される評価関数の最適化と資産配分変更を用いたValue at Risk制御への応用2008

    • Author(s)
      池田欽一, 時永祥三
    • Journal Title

      電子情報通信学会論文誌 J91-A, 03

      Pages: 1-13

    • NAID

      110007384623

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] ジャンプ過程を含む変数で記述される評価関数の最適化と企業間取引における製造・販売リアルオプション推定への応用2008

    • Author(s)
      池田欽一, 時永祥三
    • Journal Title

      情報処理学会論文誌 49, SIG41

      Pages: 1-13

    • NAID

      110006403645

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] 企業間情報ネットワークにおけるトレーサビリティ・システム導入のアクター理論による分析2008

    • Author(s)
      時永祥三, 松野成悟
    • Journal Title

      日本情報経営学会誌 28

      Pages: 97-104

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] 別会社方式によるISアウトソーシング多様化に関する一考察2008

    • Author(s)
      松野成悟, 時永祥三
    • Journal Title

      日本情報経営学会誌 28

      Pages: 68-77

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] ジャンプ過程を含む変数で記述される評価関数の最適化と資産配分変更を用いたValue at Risk制御への応用2008

    • Author(s)
      池田欽一, 時永祥三
    • Journal Title

      電子情報通信学会論文誌 vol.J91-A, no.03

      Pages: 360-372

    • NAID

      110007384623

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] ジャンプ過程を含む変数で記述される評価関数の最適化と企業間取引における製造・販売リアルオプション推定への応用2008

    • Author(s)
      池田欽一, 時永祥三
    • Journal Title

      情報処理学会論文誌 vol.49, no.SIG 41(TOM20)

      Pages: 1-13

    • NAID

      110006403645

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Optimal Strategy with Uncertain Trade Execution2008

    • Author(s)
      K. Matsumoto
    • Journal Title

      京都大学数理解析研究所講究録 1580

      Pages: 136-149

    • Related Report
      2008 Final Research Report
  • [Journal Article] ジャンプ過程を含む変数で記述される評価関数の最適化と企業間取引における製造・販売リアルオプション推定への応用2008

    • Author(s)
      池田欽一, 時永祥三
    • Journal Title

      情報処理学会論文誌 49

      Pages: 1-13

    • NAID

      110006403645

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] ジャンプ過程を含む変数で記述される評価関数の最適化と資産配分変更を用いたValue at Risk制御への応用2008

    • Author(s)
      池田欽一, 時永祥三
    • Journal Title

      電子情報通信学会論文誌 J91-A,03

      Pages: 1-13

    • NAID

      110007384623

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 評価と関連した不完備情報の多段決定問題について2008

    • Author(s)
      中井 達
    • Journal Title

      京都大学数理解析研究所講究録 (掲載決定)

    • Related Report
      2007 Annual Research Report
  • [Journal Article] ジャンプ過程を含む変数で記述される評価関数の最適化と資産配分変更を用いたValue at Risk制御への応用2008

    • Author(s)
      池田 欽一, 時永 祥三
    • Journal Title

      電子情報通信学会論文誌 J91-A,03

      Pages: 1-13

    • NAID

      110007384623

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] ジャンプ過程を含む変数で記述される評価関数の最適化と企業間取引における製造・販売リアルオプション推定への応用2008

    • Author(s)
      池田 欽一, 時永 祥三
    • Journal Title

      情報処理学会論文誌 49,SIG41

      Pages: 1-13

    • NAID

      110006403645

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 企業間情報ネットワークにおけるトレーサビリティ・システム導入のアクター理論による分析2008

    • Author(s)
      時永 祥三, 松野 成悟
    • Journal Title

      日本情報経営学会誌 28

      Pages: 97-104

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 別会社方式によるISアウトソーシング多様化に関する一考察2008

    • Author(s)
      松野 成悟, 時永 祥三
    • Journal Title

      日本情報経営学会誌 28

      Pages: 68-77

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Optimal Strategy with Uncertain Trade Execution2008

    • Author(s)
      Koichi Matsumoto
    • Journal Title

      京都大学数理解析研究所講究録 (掲載決定)

    • Related Report
      2007 Annual Research Report
  • [Journal Article] 評価に関連するマルコフ過程での最適化問題について2007

    • Author(s)
      中井達
    • Journal Title

      京都大学数理解析研究所講究録 1559

      Pages: 67-81

    • NAID

      110007153237

    • Related Report
      2008 Final Research Report
  • [Journal Article] 評価に関連するマルコフ過程での最適化問題について2007

    • Author(s)
      中井達
    • Journal Title

      経済學研究 74

      Pages: 43-61

    • NAID

      110007153237

    • Related Report
      2008 Final Research Report
  • [Journal Article] An Edgeworth expansion and a normalizing transformation for L-statistics2007

    • Author(s)
      Y. Maesono
    • Journal Title

      Bulletin of Informatics and Cybernetics 39

      Pages: 25-43

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Golden optimal policy in calculus of variation and dynamic programming2007

    • Author(s)
      S. Iwamoto
    • Journal Title

      Advances in Mathematical Economics 10

      Pages: 65-89

    • Related Report
      2008 Final Research Report 2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Genetic algorithm-based parameter optimization of Tsallis distribution and its application to financial markets2007

    • Author(s)
      K. Tan, S. Tokinaga
    • Journal Title

      Proc NOLTA2007

      Pages: 22-24

    • Related Report
      2008 Final Research Report 2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] An approximation of return distribution based upon GA optimized mixture distribution and its applications2007

    • Author(s)
      K. Tan, S. Tokinaga
    • Journal Title

      、Proc of Fourth International Conference on Computational Intelligence, Robotics and Autonomous Systems

      Pages: 22-24

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Multi-fractality Analysis of time series in artificial stock market generated by multi-agent systems based on the Genetic Programming and its applications2007

    • Author(s)
      Y. Ikeda, S.Tokinaga
    • Journal Title

      IEICE Trans. Fundamentals E90-A, 9

      Pages: 2212-2222

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Analysis of price changes in artificial double auction markets consisting of multi-agents using Genetic Programming for learning and its applications2007

    • Author(s)
      Y.Ikeda, S.Tokinaga
    • Journal Title

      Analysis of price changes in artificial double auction markets consisting of multi-agents using Genetic Programming for learning and its applications E90-A, 9

      Pages: 2203-2211

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Portfolio Insurance with Liquidity Risk2007

    • Author(s)
      K. Matsumoto
    • Journal Title

      Asia-Pacific Financial Markets 14, No. 4

      Pages: 363-386

    • NAID

      40007307602

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] 評価に関連するマルコフ過程での最適化問題について2007

    • Author(s)
      中井 達
    • Journal Title

      京都大学数理解析研究所講究録 1559

      Pages: 67-81

    • NAID

      110007153237

    • Related Report
      2007 Annual Research Report
  • [Journal Article] 評価に関連するマルコフ過程での最適化問題について2007

    • Author(s)
      中井 達
    • Journal Title

      経済学研究 74

      Pages: 43-61

    • NAID

      110007153237

    • Related Report
      2007 Annual Research Report
  • [Journal Article] An Edgeworth expansion and a normalizing transformation for L-statistics2007

    • Author(s)
      Yoshihiko Maesono
    • Journal Title

      Bulletin of Informatics and Cybernetics 39

      Pages: 25-43

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] An approximation of return distribution based upon GA optimized mixture distribution and its applications2007

    • Author(s)
      K. Tan, S. Tokinaga
    • Journal Title

      Proc of Fourth International Con」ference on Computational Intelligence, Robotics and Autonomous Sytems

      Pages: 22-24

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Multi-fractality Analysis of time series in artificial stock market generated by multi-agent systems based on the Genetic Programming and its applications2007

    • Author(s)
      Y. Ikeda, S. Tokinaga
    • Journal Title

      IEICE Trans.Fundamentals E90-A,9

      Pages: 2212-2222

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Analysis of price changes in artificial double auction markets consisting of multi-agents using Genetic Programming for leaming and its applications2007

    • Author(s)
      Y. Ikeda, S. Tokinaga
    • Journal Title

      IEICE Trans.Fundamentals E90-A,9

      Pages: 2203-2211

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Presentation] A Sequential Decision Problem on a Partially Observable Markov Process related to an Evaluation2008

    • Author(s)
      T. Nakai
    • Organizer
      International Federation of Operational Research Societies Conference, Sandton Convention Centre
    • Place of Presentation
      Johannesburg, South Africa
    • Related Report
      2008 Final Research Report
  • [Presentation] 不完備情報のマルコフ過程での支出モデルについて2008

    • Author(s)
      中井達
    • Organizer
      日本オペレーションズ・リサーチ学会
    • Place of Presentation
      2008年度秋期研究発表会
    • Related Report
      2008 Final Research Report
  • [Presentation] 不完備情報の多段決定問題と評価について2008

    • Author(s)
      中井達
    • Organizer
      シンポジウム「不確実性と意思決定の数理」
    • Place of Presentation
      京都大学数理解析研究所
    • Related Report
      2008 Annual Research Report 2008 Final Research Report
  • [Presentation] Golden duality in dynamic optimization2008

    • Author(s)
      S. Iwamoto, A. Kira, M. Yasuda
    • Organizer
      The Second Kosen Workshop Mathematics, Technology and Education
    • Place of Presentation
      Ibaraki National College of Technology
    • Related Report
      2008 Final Research Report 2007 Annual Research Report
  • [Presentation] A sequential Decision Problem on a Partially Observable Markov Process related to an Evaluation2008

    • Author(s)
      T. Nakai
    • Organizer
      International Federation of Operational Research Societies Conference
    • Place of Presentation
      Sandton Convention Centre
    • Related Report
      2008 Annual Research Report
  • [Presentation] 不完備情報のマルコフ過程での支出モデルについて2008

    • Author(s)
      中井達
    • Organizer
      日本オペレーションズ・リサーチ学会2008年度秋期研究発表会
    • Place of Presentation
      札幌コンベンションセンター
    • Related Report
      2008 Annual Research Report
  • [Presentation] A Sequential Decision Problem based on Outcomes and a Partially Observable Markov Process2007

    • Author(s)
      T. Nakai
    • Organizer
      The Second International Conference on Optimization and Optimal Control
    • Place of Presentation
      National University of Mongolia
    • Related Report
      2008 Final Research Report 2007 Annual Research Report
  • [Presentation] An approximation of return distribution based upon GA optimized mixture distribution and its applications2007

    • Author(s)
      K. Tan, S. Tokinaga
    • Organizer
      Fourth International Conference on Computational Intelligence
    • Place of Presentation
      Robotics and Autonomous Sytems
    • Related Report
      2008 Final Research Report
  • [Presentation] An approximation of return distribution based upon GA optimized mixture distribution and its applications2007

    • Author(s)
      K. Tan, S. Tokinaga
    • Organizer
      Fourth International Conference on Computational Intelligence, Robotics and Automomous Sytems
    • Place of Presentation
      New zealand
    • Related Report
      2007 Annual Research Report

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

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