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Study on the Efficient Allocation of Indivisible Goods

Research Project

Project/Area Number 20530158
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Economic theory
Research InstitutionTokyo Metropolitan University

Principal Investigator

IIMURA Takuya (2008, 2010)  Tokyo Metropolitan University, 社会科学研究科, 教授 (50279634)

飯村 卓也 (2009-2010)  首都大学東京, 社会科学研究科, 教授 (50972634)

Project Period (FY) 2008 – 2010
Project Status Completed (Fiscal Year 2010)
Budget Amount *help
¥390,000 (Direct Cost: ¥300,000、Indirect Cost: ¥90,000)
Fiscal Year 2010: ¥130,000 (Direct Cost: ¥100,000、Indirect Cost: ¥30,000)
Fiscal Year 2009: ¥130,000 (Direct Cost: ¥100,000、Indirect Cost: ¥30,000)
Fiscal Year 2008: ¥130,000 (Direct Cost: ¥100,000、Indirect Cost: ¥30,000)
Keywords非分割財 / 均衡理論 / 離散凸性 / 均衡の存在 / スペルナーの補題 / 非分割則 / 離散不動点定理 / 方向保存性
Research Abstract

Efficient allocation of resources has traditionally been considered under the assumption of continuity on the part of variables of the model. In this study, a condition for an efficient allocation of resources of indivisible goods, which is consistent with the maximization of utility, was investigated. This study aims at extending the applicability of market models to discrete variables, and has obtained some findings relevant to such a purpose.

Report

(4 results)
  • 2010 Annual Research Report   Final Research Report ( PDF )
  • 2009 Annual Research Report
  • 2008 Annual Research Report
  • Research Products

    (12 results)

All 2011 2010 2009

All Journal Article (8 results) (of which Peer Reviewed: 6 results) Presentation (4 results)

  • [Journal Article] Sum of Sets of Integer Points of Common-Normal Faces of Integer Polyhedra2011

    • Author(s)
      Takuya Iimura
    • Journal Title

      Lecture Notes in Engineering and Computer Science : Proceedings of The IMECS 2011

      Pages: 1462-1465

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] Sum of Sets of Integer Points of Common-Normal Faces of Integer Polyhedra2011

    • Author(s)
      Iimura, T.
    • Journal Title

      IMECS 2011 Proceedings

      Volume: 2 Pages: 1462-1465

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Sperner's Lemma and the Existence of Zero on the Discrete Simplex and Simplotope2010

    • Author(s)
      Takuya Iimura, Kazuo Murota, Akihisa Tamura
    • Journal Title

      METR 2010-09, University of Tokyo

    • Related Report
      2010 Final Research Report
  • [Journal Article] Discrete modeling of economic equilibrium problems, Pacific Journal of Optimization2010

    • Author(s)
      Takuya Iimura
    • Journal Title

      6

      Pages: 57-64

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] Spemer's Lemma and the Existence of Zero on the Discrete Simplex and Simplotope2010

    • Author(s)
      Iimura, T., Murota, K., Tamura, A.
    • Journal Title

      Mathematical Engineering Technical Reports

      Volume: 2010-09 Pages: 1-12

    • Related Report
      2010 Annual Research Report
  • [Journal Article] Discrete modeling of economic equilibrium problems2010

    • Author(s)
      Iimura, T.
    • Journal Title

      Pacific Journal of Optimization 6

      Pages: 57-64

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A study on the demand and response correspondences in the presence of indivisibilities2009

    • Author(s)
      Takuya Iimura, Zaifu Yang
    • Journal Title

      Journal of Fixed Point Theory and Applications 6

      Pages: 333-349

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] A study on the demand and response correspondences in the presence of indivisibilities2009

    • Author(s)
      Iimura, T., Yang, Z.
    • Journal Title

      Journal of Fixed Point Theory and Applications 6

      Pages: 333-349

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Presentation] Sum of sets of integer points of common-normal faces of integer polyhedra2011

    • Author(s)
      飯村卓也
    • Organizer
      International Conference of Operations Research 2011
    • Place of Presentation
      香港ロイヤルガーデンホテル
    • Year and Date
      2011-03-17
    • Related Report
      2010 Final Research Report
  • [Presentation] Sum of sets of integer points of common-normal faces of integer polyhedra2011

    • Author(s)
      飯村卓也
    • Organizer
      International Conference of Operations Research 2011
    • Place of Presentation
      Royal Gardea Hotel (Hong Kong)
    • Year and Date
      2011-03-17
    • Related Report
      2010 Annual Research Report
  • [Presentation] Sperner's lemma and zero point theorems on a discrete simplex and a discrete simplotope2011

    • Author(s)
      飯村卓也
    • Organizer
      The 6th Pan-Pacific Conference on Game Theory
    • Place of Presentation
      東京工業大学
    • Year and Date
      2011-03-01
    • Related Report
      2010 Final Research Report
  • [Presentation] Sperner's lemma and zero point theorems on a discrete simplex and a discrete simplotope2011

    • Author(s)
      飯村卓也
    • Organizer
      The 6th Pan-Pacific Conference on Game Theory
    • Place of Presentation
      東京工業大学(東京都)
    • Year and Date
      2011-03-01
    • Related Report
      2010 Annual Research Report

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Published: 2008-04-01   Modified: 2016-04-21  

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