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An axiomatic analysis of the welfare measure based on the equivalence scale

Research Project

Project/Area Number 24530191
Research Category

Grant-in-Aid for Scientific Research (C)

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

Principal Investigator

MIYAKE Mitsinobu  東北大学, 経済学研究科(研究院), 教授 (00190752)

Project Period (FY) 2012-04-01 – 2015-03-31
Project Status Completed (Fiscal Year 2014)
Budget Amount *help
¥2,470,000 (Direct Cost: ¥1,900,000、Indirect Cost: ¥570,000)
Fiscal Year 2014: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2013: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2012: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Keywords等価尺度 / 消費者余剰 / 区間尺度 / 対数効用関数
Outline of Final Research Achievements

In a competitive market setting, the social evaluation process is formulated as an Arrovian social welfare function, and it is shown that there is no social welfare function satisfying the Arrovian three axioms. In order to derive a positive result, it is shown that logarithmic function is axiomatically derived as a consumer's cardinal utility function on money income levels, which implies that Eisenberg's consumer surplus measure can be characterized by the preference axioms. Moreover, the consumer surplus measures under risks are axiomatically analyzed.

Report

(4 results)
  • 2014 Annual Research Report   Final Research Report ( PDF )
  • 2013 Research-status Report
  • 2012 Research-status Report
  • Research Products

    (3 results)

All 2015 2014 2013

All Journal Article (2 results) (of which Peer Reviewed: 1 results) Presentation (1 results)

  • [Journal Article] An axiomatic derivation of the logarithmic function as a cardinal utility function on money income levels2014

    • Author(s)
      Mitsunobu Miyake
    • Journal Title

      Theoretical Economics Letters

      Volume: 4 Issue: 01 Pages: 7-11

    • DOI

      10.4236/tel.2014.41002

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] Axiomatic characterization of aggregate consumer surplus measures as social welfare indices2013

    • Author(s)
      Mitsunobu Miyake
    • Journal Title

      TERG Discussion paper

      Volume: 294 Pages: 1-46

    • NAID

      120005261262

    • Related Report
      2012 Research-status Report
  • [Presentation] An expected utility representation theorem for intensity comparisons over lotteries2015

    • Author(s)
      三宅充展
    • Organizer
      Logic, Game Theory, and Social Choice 8
    • Place of Presentation
      台北、中央科学院(台湾)
    • Year and Date
      2015-05-19 – 2015-05-21
    • Related Report
      2014 Annual Research Report

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Published: 2013-05-31   Modified: 2019-07-29  

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