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Farsighted Stability in Generalized Matching Problems

Research Project

Project/Area Number 17K13696
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeMulti-year Fund
Research Field Economic theory
Research InstitutionTokyo Institute of Technology

Principal Investigator

Kawasaki Ryo  東京工業大学, 工学院, 准教授 (20579619)

Project Period (FY) 2017-04-01 – 2020-03-31
Project Status Completed (Fiscal Year 2019)
Budget Amount *help
¥2,340,000 (Direct Cost: ¥1,800,000、Indirect Cost: ¥540,000)
Fiscal Year 2019: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2018: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2017: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Keywords一般化マッチング / 先見性 / 安定性 / 競争均衡 / 非分割財市場 / 極小性 / 先見的安定集合 / 非分割材市場 / マッチング / 一般化マッチング問題
Outline of Final Research Achievements

This research investigates the generalized matching problem with farsighted agents. The generalized matching problem includes as its special case the two-sided matching problem and the indivisible good (house) barter game. These models can be obtained by restricting the matchings that can be formed. It is shown through this research that these rules have significant impacts on the matchings that may result with farsighted agents.

Academic Significance and Societal Importance of the Research Achievements

マッチング問題や非分割財の物々交換モデルは,様々な労働市場に応用例があるが,殆どの理論分析においては,想定しているプレイヤーは先見性を全く持っていない.本研究では,より一般的なモデルを分析する上で,それぞれのモデルに課されているルールがどのように影響するかを分析しており,先見性を持つプレイヤーに関する研究に対し,新たな側面での研究を行っている.また,現実におけるマッチング問題にも既存の理論モデルでは想定していない制約も存在し得るが,一般化マッチング問題を分析する上でもこのような制約も考慮できることになり,マッチング理論の観点からも重要な研究である.

Report

(4 results)
  • 2019 Annual Research Report   Final Research Report ( PDF )
  • 2018 Research-status Report
  • 2017 Research-status Report
  • Research Products

    (10 results)

All 2019 2018 2017 Other

All Int'l Joint Research (1 results) Journal Article (2 results) (of which Int'l Joint Research: 1 results,  Peer Reviewed: 1 results,  Open Access: 2 results) Presentation (7 results) (of which Int'l Joint Research: 5 results)

  • [Int'l Joint Research] Boston College(米国)

    • Related Report
      2017 Research-status Report
  • [Journal Article] Cooperative Games (Von Neumann-Morgenstern Stable Sets)2018

    • Author(s)
      Kawasaki Ryo、Wako Jun、Muto Shigeo
    • Journal Title

      Encyclopedia of Complexity and Systems Science

      Volume: - Pages: 1-41

    • DOI

      10.1007/978-3-642-27737-5_99-3

    • ISBN
      9783642277375
    • Related Report
      2018 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Equilibria in Bottleneck Games2018

    • Author(s)
      Ryo Kawasaki, Hideo Konishi, Junki Yukawa
    • Journal Title

      Department of Industrial Engineering and Economics Working Paper No. 2018-1, Tokyo Institute of Technology

      Volume: - Pages: 1-18

    • Related Report
      2017 Research-status Report
    • Open Access / Int'l Joint Research
  • [Presentation] von Neumann and Morgenstern Farsightedly Stable Sets of Assignment Games2019

    • Author(s)
      Ryo Kawasaki and Tomohiro Matsuse
    • Organizer
      European Meeting on Game Theory (SING 15)
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Weak versus Strong Indirect Domination in the Shapley-Scarf Economy2018

    • Author(s)
      Ryo Kawasaki
    • Organizer
      14th European Meeting on Game Theory 2018 (SING14)
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research
  • [Presentation] A Finite Bottleneck Game with Homogeneous Commuters2018

    • Author(s)
      Junki Yukawa
    • Organizer
      ゲーム理論ワークショップ2018
    • Related Report
      2017 Research-status Report
  • [Presentation] Weak versus Strong Indirect Domination in the Shapley-Scarf Economy2018

    • Author(s)
      Ryo Kawasaki
    • Organizer
      ゲーム理論ワークショップ2018
    • Related Report
      2017 Research-status Report
  • [Presentation] A Finite Bottleneck Game with Homogeneous Commuters2017

    • Author(s)
      Junki Yukawa
    • Organizer
      Eleventh International Conference on Game Theory and Management
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] A Finite Bottleneck Game with Homogeneous Commuters2017

    • Author(s)
      Junki Yukawa
    • Organizer
      13th European Meeting on Game Theory (SING13)
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] A Finite Bottleneck Game with Homogeneous Commuters2017

    • Author(s)
      Junki Yukawa
    • Organizer
      East Asian Game Theory Conference 2017
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research

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Published: 2017-04-28   Modified: 2022-02-21  

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