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Inequality and Non-Expected Utility Theory

Research Project

Project/Area Number 16K03558
Research Category

Grant-in-Aid for Scientific Research (C)

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

Principal Investigator

Kojima Hiroyuki  帝京大学, 経済学部, 教授 (30328083)

Co-Investigator(Kenkyū-buntansha) 浅野 貴央  岡山大学, 社会文化科学研究科, 教授 (40423157)
Project Period (FY) 2016-04-01 – 2020-03-31
Project Status Completed (Fiscal Year 2019)
Budget Amount *help
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2018: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2017: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2016: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Keywords不平等回避 / 不確実性 / ナイト流不確実性 / 不平等 / 信念の改訂 / 信念の更新 / ナイトの不確実性 / 推定の改訂 / 信念度関数
Outline of Final Research Achievements

The main results of this research project are twofold.
1. We axiomatize the three updating rules (Dempster-Shafer, Naive Bayes, and Fagin-Halpern updating rules) under consequentialism and some kinds of dynamic consistency.
2. We characterize the Choquet integral with respect to belief functions and directly derive belief functions on a state space.

Academic Significance and Societal Importance of the Research Achievements

本研究プロジェクトの成果は、社会選択理論やマクロ貨幣動学に応用できる基礎理論を開発したことである。現在、世界中で問題になっている格差や不平等の背後には、社会制度の設計のありかたや、マクロ経済での政策のありかたが大きくかかわっている。これらの問題は政治や市民投票だけでは正しい方向性を見出すことは難しく、経済理論の貢献が重要となる。本研究プロジェクトでは、人々が得た情報からどのように認識を修正し、新しい信念を形成するかを解明して、社会設計に活かせる道筋を拓いた。さらに、不平等回避を持つ社会厚生関数やレオンチェフ型効用関数を公理化することで、市民の社会選択の性向を記述する方法論を構築した。

Report

(5 results)
  • 2019 Annual Research Report   Final Research Report ( PDF )
  • 2018 Research-status Report
  • 2017 Research-status Report
  • 2016 Research-status Report
  • Research Products

    (12 results)

All 2019 2018 2017 2016 Other

All Journal Article (6 results) (of which Peer Reviewed: 4 results,  Open Access: 2 results) Presentation (1 results) (of which Int'l Joint Research: 1 results) Book (4 results) Remarks (1 results)

  • [Journal Article] Portfolio Allocation Problems between Risky and Ambiguous Assets2019

    • Author(s)
      Asano, Takao and Yusuke Osaki
    • Journal Title

      Annals of Operations Research

      Volume: 印刷中 Issue: 1 Pages: 63-79

    • DOI

      10.1007/s10479-019-03206-1

    • NAID

      120006845805

    • Related Report
      2019 Annual Research Report 2018 Research-status Report
    • Peer Reviewed
  • [Journal Article] Optimal Initial Capital Induced by the Optimized Certainty Equivalent2019

    • Author(s)
      Takuji Arai, Takao Asano, and Katsumasa Nishide
    • Journal Title

      Insurance: Mathematics and Economics

      Volume: 85 Pages: 115-125

    • DOI

      10.1016/j.insmatheco.2019.01.006

    • Related Report
      2018 Research-status Report
    • Peer Reviewed
  • [Journal Article] Chaotic Dynamics of a Piecewise Linear Model of Credit Cycles2019

    • Author(s)
      Takao Asano and Masanori Yokoo
    • Journal Title

      Journal of Mathematical Economics

      Volume: 80 Pages: 9-21

    • DOI

      10.1016/j.jmateco.2018.11.001

    • Related Report
      2018 Research-status Report
    • Peer Reviewed
  • [Journal Article] Consequentialism and dynamic consistency in updating ambiguous beliefs2018

    • Author(s)
      Asano Takao, Kojima Hiroyuki
    • Journal Title

      Economic Theory

      Volume: 68 Issue: 1 Pages: 223

    • DOI

      10.1007/s00199-018-1121-0

    • URL

      https://pure.teikyo.jp/en/publications/f938626c-d603-4102-abd2-2b2e147fbfc5

    • Related Report
      2019 Annual Research Report 2018 Research-status Report
    • Peer Reviewed
  • [Journal Article] Consequentialism and Dynamic Consistency in Updating Ambiguous Beliefs2018

    • Author(s)
      Takao Asano and Hiroyuki Kojima
    • Journal Title

      京都大学経済研究所ディスカッションペーパーシリーズ

      Volume: 987 Pages: 1-34

    • Related Report
      2017 Research-status Report
    • Open Access
  • [Journal Article] Chaotic Dynamics of a Piecewise Linear Model of Credit Cycles with Imperfect Observability2017

    • Author(s)
      Takao Asano and Masanori Yokoo
    • Journal Title

      京都大学経済研究所ディスカッションペーパーシリーズ

      Volume: 967 Pages: 1-43

    • Related Report
      2016 Research-status Report
    • Open Access
  • [Presentation] Conditional Comonotonicity, Consequentialism, and Dynamic Consistency in Updating Ambiguous Beliefs2016

    • Author(s)
      Takao Asano and Hiroyuki Kojima
    • Organizer
      China Meeting of Econometric Society
    • Place of Presentation
      Southwestern University of Finance and Economics, China
    • Year and Date
      2016-06-27
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Book] 天才ガロアの発想力2019

    • Author(s)
      小島寛之
    • Total Pages
      292
    • Publisher
      技術評論社
    • Related Report
      2019 Annual Research Report
  • [Book] 暗号通貨の経済学2019

    • Author(s)
      小島寛之
    • Total Pages
      187
    • Publisher
      講談社
    • ISBN
      9784065144954
    • Related Report
      2018 Research-status Report
  • [Book] 宇沢弘文の数学2018

    • Author(s)
      小島寛之
    • Total Pages
      216
    • Publisher
      青土社
    • ISBN
      9784791771004
    • Related Report
      2018 Research-status Report
  • [Book] 証明と論理に強くなる2017

    • Author(s)
      小島寛之
    • Total Pages
      351
    • Publisher
      技術評論社
    • Related Report
      2016 Research-status Report
  • [Remarks]

    • URL

      https://sites.google.com/site/takaoasano73/

    • Related Report
      2019 Annual Research Report

URL: 

Published: 2016-04-21   Modified: 2021-02-19  

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