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2019 Fiscal Year Annual Research Report

Mathematical Decision Analysis and its Application to Economic Theory

Research Project

Project/Area Number 16K05282
Research InstitutionThe University of Kitakyushu

Principal Investigator

吉田 祐治  北九州市立大学, 経済学部, 教授 (90192426)

Project Period (FY) 2016-04-01 – 2020-03-31
Keywords数理ファイナンス / リスク / 効用 / 不確実性 / 意思決定
Outline of Annual Research Achievements

近年は、金融不安や地震災害などのリスクの中で安定した社会基盤を築くことが求められる。リスクの数学的性質は心理学や経済学など様々な分野で研究されてきた。本研究では、経済や災害のリスク環境における意思決定の解析的性質を数理計画の観点から考察する。とくに、リスクを伴う確率場と意思決定者の評価基準の相互関係について研究する。また、ダイナミックスを伴うリスク環境における意思決定を数理計画の観点から研究する。
前年度までの項目(a) VaRを用いたcoherent risk measure (b) リスク測度の構築 (c) 効用関数の統合の研究をもとに本年度は (f)リスク評価基準 (h) 最適決定の数理ファイナンスへの応用で新しい結果が得られた。前年度までの(a)(b)(c)の成果をもとに効用関数の下での最適なcoherent risk measureの構築を行い、(f)(g)(h)について国際会議TAMC2019, KES IDT 2019, EURO2019, MDAI2019, IJCCI 2019とRIMS研究集会で発表した。その内容は、Springer出版のLNCS 1143, Smart Innovation, Systems and Technologies 143, LNAI 11676と各々の国際会議にproceedingで公開され、(f)(g)(h)について学術論文誌IJIST, JACIII, Granular Computingに出版されている。さらに、本研究の最初に予想していなかったことではあるが。得られた研究成果は人工知能モデルと関係する可能性があるとの助言をいただき、国際会議CogSIMA 2019で発表し議論することができIEEE出版のproceedingに収められている。この議論をもとに、本研究の新しい展開が期待できる。

  • Research Products

    (16 results)

All 2019

All Journal Article (8 results) (of which Int'l Joint Research: 8 results,  Peer Reviewed: 8 results,  Open Access: 2 results) Presentation (8 results) (of which Int'l Joint Research: 7 results)

  • [Journal Article] Dynamic Average Value-at-Risk Allocation on Worst Scenarios in Asset Management2019

    • Author(s)
      Y.Yoshida and S.Kumamoto
    • Journal Title

      Lecture Notes in Computer Science

      Volume: 11436 Pages: 674-683

    • DOI

      https://doi.org/10.1007/978-3-030-14812-6_42

    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Allocation Processes for Worst Scenarios in Fuzzy Asset Management Using Weighted Average Value-at-Risks2019

    • Author(s)
      Y.Yoshida
    • Journal Title

      International Journal of Information Science and Technologies

      Volume: 3 Pages: 39-45

    • DOI

      https://innove.org/ijist/index.php/ijist/issue/view/7

    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Risk-Sensitive Decision Making under Risk Constraints with Coherent Risk Measures2019

    • Author(s)
      Y.Yoshida
    • Journal Title

      Smart Innovation, Systems and Technologies 143

      Volume: 2 Pages: 219-229

    • DOI

      https://doi.org/10.1007/978-981-13-8303-8_19

    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Comparison of Risk Aversity for Two Utility Functions on R^22019

    • Author(s)
      Y.Yoshida
    • Journal Title

      Journal of Advanced Computational Intelligence and Intelligent Informatics

      Volume: 23 Pages: 555-560

    • DOI

      https://www.fujipress.jp/jaciii/jc/

    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Markov Decision Processes with Coherent Risk Measures: Risk Aversity in Asset Management2019

    • Author(s)
      Y.Yoshida
    • Journal Title

      2019 IEEE Conference on Cognitive and Computational Aspects of Situation Management

      Volume: - Pages: 147-151

    • DOI

      https://ieeexplore.ieee.org/abstract/document/8724252

    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Risk-Sensitive Markov Decision under Risk Constraints with Coherent Risk Measures2019

    • Author(s)
      Y.Yoshida
    • Journal Title

      Lecture Notes in Artificial Intelligence

      Volume: 11676 Pages: 29-40

    • DOI

      https://doi.org/10.1007/978-3-030-26773-5_3

    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Risk-Sensitive Markov Decision Processes with Risk Constraints of Coherent Risk Measures in Fuzzy and Stochastic Environment2019

    • Author(s)
      Y.Yoshida
    • Journal Title

      Proceedings of the International Conference on Fuzzy Computation Theory and Applications 2019

      Volume: - Pages: 269-277

    • DOI

      https://www.scitepress.org/ProceedingsList.aspx

    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Portfolio Optimization with Perception-Based Risk Measures in Dynamic Fuzzy Asset Management2019

    • Author(s)
      Y.Yoshida
    • Journal Title

      Granular Computing

      Volume: 4 Pages: 615-627

    • DOI

      https://doi.org/10.1007/s41066-018-0100-y

    • Peer Reviewed / Int'l Joint Research
  • [Presentation] Markov Decision Processes with Coherent Risk Measures: Risk Aversity in Asset Management2019

    • Author(s)
      Y.Yoshida
    • Organizer
      CogSIMA 2019
    • Int'l Joint Research
  • [Presentation] Dynamic Average Value-at-Risk Allocation on Worst Scenarios in Asset Management2019

    • Author(s)
      Y.Yoshida
    • Organizer
      TAMC 2019
    • Int'l Joint Research
  • [Presentation] Risk-Sensitive Decision Making under Risk Constraints with Coherent Risk Measures2019

    • Author(s)
      Y.Yoshida
    • Organizer
      KES-IDT 2019
    • Int'l Joint Research
  • [Presentation] Risk-Sensitive Markov Decision under Risk Constraints with Coherent Risk Measures2019

    • Author(s)
      Y.Yoshida
    • Organizer
      MDAI 2019
    • Int'l Joint Research
  • [Presentation] Risk-Sensitive Decision Making with Constraints of Coherent Risk Measures in Fuzzy and Stochastic Environment2019

    • Author(s)
      Y.Yoshida
    • Organizer
      EUSFLAT 2019
    • Int'l Joint Research
  • [Presentation] Risk-Sensitive Markov Decision Processes with Risk Constraints of Coherent Risk Measures in Fuzzy and Stochastic Environment2019

    • Author(s)
      Y.Yoshida
    • Organizer
      IJCCI 2019
    • Int'l Joint Research
  • [Presentation] Coherent Risk Measures Derived from Utility Functions and Risk-Sensitive Expectation2019

    • Author(s)
      吉田祐治
    • Organizer
      RIMS研究集会「不確実・不確定性の下における数理的意思決定の理論と応用」
  • [Presentation] Finite Horizon Risk-Sensitive Markov Decision under Risk Constraints: Coherent Risk Measures Derived from Risk Averse Utility2019

    • Author(s)
      Y.Yoshida
    • Organizer
      EURO 2019
    • Int'l Joint Research

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Published: 2021-01-27  

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