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Unified analysis on strategic behavior in school choice

Research Project

Project/Area Number 17K13697
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) 2017-04-01 – 2022-03-31
Project Status Completed (Fiscal Year 2021)
Budget Amount *help
¥4,160,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥960,000)
Fiscal Year 2019: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2018: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2017: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Keywordsマーケットデザイン / マッチング理論 / 安定性 / 効率性 / Matching theory / Stability / Rationality / 学校選択 / 学校選択制 / 市場構造 / ゲーム理論
Outline of Final Research Achievements

In priority-based matching problem, typically referred to as school choice, we have conducted theoretical and experimental research.
There are mainly three theoretical results. (1) Professor Aytek Erdil and I modeled a very realistic class of priorities, which is not included in existing studies, and showed the existence of stable matchings and characterized the properties of stable matching under this class. (2) Professor Kurino, Dr. Marutani, and I found how different matching rules lead to different strategic behavior of participants, thus which kind of market structure. (3) Professor Kurino and I considered a matching problem in which quotas of schools are somehow flexible. We developed the algorithm which finds a stable matching which is not Pareto dominated by any other stable matchings at any quota distribution.
Regarding the experiment, we could not conduct planned experiments due to COVID 19 pandemic.

Academic Significance and Societal Importance of the Research Achievements

本研究成果の学術的意義は、既存の理論結果をより現実市場の目線で発展させたことにある。Aytek Erdil 氏との共同論文は、経済学の分野で評価の非常に高い国際雑誌に掲載された。また他の2本の論文も同等かそれ以上に評価の高い国際雑誌に投稿予定である。一方で、これらの結果は重要な社会的意義ももつ。栗野氏との共同研究は、ある国立大学の改革の過程において発生、展開された。この研究では、理論分析だけでなく実践できるアルゴリズムまで開発した。そして、様々なシミュレーションを経たのち最終的にその国立大学で採用されることになった。これは、研究成果が現実社会に直接的に応用されたよい例である。

Report

(6 results)
  • 2021 Annual Research Report   Final Research Report ( PDF )
  • 2020 Research-status Report
  • 2019 Research-status Report
  • 2018 Research-status Report
  • 2017 Research-status Report
  • Research Products

    (3 results)

All 2020 2019

All Journal Article (1 results) (of which Int'l Joint Research: 1 results,  Peer Reviewed: 1 results) Presentation (2 results) (of which Int'l Joint Research: 1 results)

  • [Journal Article] Efficiency and stability under substitutable priorities with ties2019

    • Author(s)
      Aytek Erdil and Taro Kumano
    • Journal Title

      Journal of Economic Theory

      Volume: 184 Pages: 104950-104950

    • DOI

      10.1016/j.jet.2019.104950

    • Related Report
      2019 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Presentation] Quota adjustment process2020

    • Author(s)
      Taro Kumano
    • Organizer
      Econometric society world congress 2020
    • Related Report
      2020 Research-status Report
    • Int'l Joint Research
  • [Presentation] Quota adjustment process2020

    • Author(s)
      熊野太郎
    • Organizer
      慶應義塾大学 ミクロ経済学ワークショップ
    • Related Report
      2020 Research-status Report

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Published: 2017-04-28   Modified: 2023-01-30  

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