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2009 Fiscal Year Annual Research Report

社会的選択理論と理論経済学の数学的構造についての研究

Research Project

Project/Area Number 20530165
Research InstitutionDoshisha University

Principal Investigator

田中 靖人  Doshisha University, 経済学部, 教授 (10188344)

KeywordsHEX game theorem / Arrow impossibility theorem / Brouwer fixed point theorem / quasi-transitive binary social choice rules / halting problem
Research Abstract

2009年度中には以下の論文を発表した。
1."The HEX game theorem and the Arrow impossibility theorem : the case of weak orders", Metroeconomica, Vol.60, pp.77-90, Blackwell.
人々の選好が無差別関係を含む場合においてHEXゲーム定理からアローの不可能性定理が導かれることを示した。
2."On the Equivalence of the Arrow Impossibility Theorem and the Brouwer Fixed Point Theorem when Indivudual Preferences are Weak Orders", Journal of Mathematical Economics, Vol.45, pp.241-249, Elsevier.
人々の選好が無差別関係を含む場合に,アローの不可能性定理がブラウワーの不動点定理と同値であることを証明した。
3."On the computability of quasi-transitive binary social choice rules in an infinite society and the halting problem", Decisions in Economics and Finance Vol.32, pp.67-78, Springer.
無限人口社会における社会的選好が計算不可能であることを,準推移性(厳密な選好のみの推移性)しか満たさない場合について証明した。

  • Research Products

    (3 results)

All 2009

All Journal Article (3 results) (of which Peer Reviewed: 3 results)

  • [Journal Article] The HEX game theorem and the Arrow impossibility theorem : the case of weak orders2009

    • Author(s)
      Yasuhito Tanaka
    • Journal Title

      Metroeconomica(Blackwell) 60

      Pages: 77-90

    • Peer Reviewed
  • [Journal Article] On the Equivalence of the Arrow Impossibility Theorem and the Brouwer Fixed Point Theorem when Indivudual Preferences are Weak Orders2009

    • Author(s)
      Yasuhito Tanaka
    • Journal Title

      Journal of Mathemtical Economics 45

      Pages: 241-249

    • Peer Reviewed
  • [Journal Article] On the computability of quasi-transitive binary social choice rules in an infinite society and the halting problem2009

    • Author(s)
      Yasuhito Tanaka
    • Journal Title

      Decisions in Economics and Finance 32

      Pages: 67-78

    • Peer Reviewed

URL: 

Published: 2011-06-16   Modified: 2016-04-21  

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