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Implementation of practical matching mechanisms

Research Project

Project/Area Number 15K17019
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeMulti-year Fund
Research Field Economic theory
Research InstitutionYokohama National University

Principal Investigator

Kumano Taro  横浜国立大学, 大学院国際社会科学研究院, 准教授 (00700494)

Project Period (FY) 2015-04-01 – 2017-03-31
Project Status Completed (Fiscal Year 2016)
Budget Amount *help
¥3,120,000 (Direct Cost: ¥2,400,000、Indirect Cost: ¥720,000)
Fiscal Year 2016: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2015: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
KeywordsMarket design / Matching theory / School choice / Nash implementation / Indifference / マッチング / マーケットデザイン / ナッシュ遂行 / マッチング理論 / 学校選択
Outline of Final Research Achievements

In this study, we consider priority-based matching problems in which indifferent priorities are allowed. Although indifferences in priorities are naturally present in practice, it is unknown whether constrained efficient stable matchings are implementable in any strategic solution concept. Therefore, in this study, we show that (1) stable matchings are Nash implementable via a “practical” mechanism and (2) constrained efficient stable matchings are Nash implementable if and only if priorities satisfy the conditions identified by Ehlers and Erdil (2010). These findings immediately imply that efficient and stable matchings are Nash implementable under the same condition.

Report

(3 results)
  • 2016 Annual Research Report   Final Research Report ( PDF )
  • 2015 Research-status Report
  • Research Products

    (6 results)

All 2017 2016 2015

All Journal Article (1 results) (of which Peer Reviewed: 1 results,  Acknowledgement Compliant: 1 results) Presentation (5 results) (of which Int'l Joint Research: 1 results)

  • [Journal Article] Nash implementation of constrained efficient stable matchings under weak priorities2017

    • Author(s)
      Taro Kumano
    • Journal Title

      Games and Economic Behavior

      Volume: 印刷中 Pages: 230-240

    • DOI

      10.1016/j.geb.2017.04.003

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Presentation] Prioritizing Diversity in School Choice2016

    • Author(s)
      Taro Kumano
    • Organizer
      Asian meeting of econometric society 2016
    • Place of Presentation
      Doshisha University
    • Year and Date
      2016-08-11
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Prioritizing Diversity in School Choice2016

    • Author(s)
      Taro Kumano
    • Organizer
      2016 Asian meeting of the Econometric Society
    • Place of Presentation
      京都大学
    • Year and Date
      2016-08-11
    • Related Report
      2015 Research-status Report
  • [Presentation] Prioritizing Diversity in School Chocie2016

    • Author(s)
      熊野太郎
    • Organizer
      理論セミナー
    • Place of Presentation
      筑波大学
    • Year and Date
      2016-05-26
    • Related Report
      2015 Research-status Report
  • [Presentation] Prioritizing Diversity in School Choice2015

    • Author(s)
      熊野太郎
    • Organizer
      経済理論ワークショップ
    • Place of Presentation
      一橋大学
    • Year and Date
      2015-10-22
    • Related Report
      2015 Research-status Report
  • [Presentation] Implementing stable correspondence in Nash equilibria2015

    • Author(s)
      熊野太郎
    • Organizer
      理論セミナー
    • Place of Presentation
      筑波大学
    • Year and Date
      2015-07-13
    • Related Report
      2015 Research-status Report

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Published: 2015-04-16   Modified: 2018-03-22  

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