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A reconstruction of axiomatic foundations of modern utility theory: toward a construction of unified axiom systems

Research Project

Project/Area Number 23653051
Research Category

Grant-in-Aid for Challenging Exploratory Research

Allocation TypeMulti-year Fund
Research Field Economic theory
Research InstitutionUniversity of Tsukuba

Principal Investigator

NAKAMURA YUTAKA  筑波大学, システム情報系, 教授 (80180412)

Project Period (FY) 2011 – 2013
Project Status Completed (Fiscal Year 2013)
Budget Amount *help
¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
Fiscal Year 2013: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2012: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2011: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Keywords効用理論 / 期待効用 / 主観的期待効用 / 非線形期待効用 / 半順序構造 / 単項関係 / 線形不等式系 / 2次不等式系 / 2次不等式系
Research Abstract

A model of rational economic agent is constructed by the requirement, described as an axiom system, that his/her preferential judgments, is preferred to, for decision alternatives should be rational. In the literature, there have been proposed various axiom systems because decision alternatives are mathematically described in many different ways according to economic environments. This study proposes a unified description of decision alternatives as abstract mathematical objects and partially succeeds to develop a unified axiom system to cover many of the existing axiom systems.

Report

(4 results)
  • 2013 Annual Research Report   Final Research Report ( PDF )
  • 2012 Research-status Report
  • 2011 Research-status Report

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Published: 2011-08-05   Modified: 2019-07-29  

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