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Stability and Strategy-Proofness for Matching with Constraints: A Problem in the Japanese Medical Match and Its Solution

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  • Yuichiro Kamada
  • Fuhito Kojima

Abstract

Real matching markets are subject to constraints. For example, the Japanese government introduced a new medical matching system in 2009 that imposes a "regional cap" in each of its 47 prefectures, which regulates the total number of medical residents who can be employed in each region. Based on Kamada and Kojima (2011), this paper studies matching markets with such constraints by examining in great detail the Japanese medical matching market. Specifically, we show that the new system introduced in 2009 has problems in terms of stability and strategy-proofness, and provide an alternative mechanism that does better.

Suggested Citation

  • Yuichiro Kamada & Fuhito Kojima, 2012. "Stability and Strategy-Proofness for Matching with Constraints: A Problem in the Japanese Medical Match and Its Solution," American Economic Review, American Economic Association, vol. 102(3), pages 366-370, May.
    • Handle: RePEc:aea:aecrev:v:102:y:2012:i:3:p:366-70
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    References listed on IDEAS

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    1. Atila Abdulkadiroglu & Tayfun Sönmez, 2003. "School Choice: A Mechanism Design Approach," American Economic Review, American Economic Association, vol. 93(3), pages 729-747, June.
    2. Hatfield, John William & Kojima, Fuhito, 2009. "Group incentive compatibility for matching with contracts," Games and Economic Behavior, Elsevier, vol. 67(2), pages 745-749, November.
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    Cited by:

    1. Kolos Csaba Ágoston & Péter Biró & Iain McBride, 2016. "Integer programming methods for special college admissions problems," Journal of Combinatorial Optimization, Springer, vol. 32(4), pages 1371-1399, November.
    2. Scott Duke Kominers & Alexander Teytelboym & Vincent P Crawford, 2017. "An invitation to market design," Oxford Review of Economic Policy, Oxford University Press and Oxford Review of Economic Policy Limited, vol. 33(4), pages 541-571.
    3. Haris Aziz & Serge Gaspers & Zhaohong Sun & Toby Walsh, 2020. "From Matching with Diversity Constraints to Matching with Regional Quotas," Papers 2002.06748, arXiv.org.
    4. Kasajima, Yoichi & Toda, Manabu, 2024. "Singles monotonicity and stability in one-to-one matching problems," Games and Economic Behavior, Elsevier, vol. 143(C), pages 269-286.
    5. Galina Besstremyannaya, 2014. "The efficiency of labor matching and remuneration reforms: a panel data quantile regression approach with endogenous treatment variables," Working Papers w0206, Center for Economic and Financial Research (CEFIR).
    6. Ju, Yan & Lin, Deguang & Wang, Dazhong, 2018. "Affirmative action in school choice: A new solution," Mathematical Social Sciences, Elsevier, vol. 92(C), pages 1-9.
    7. Muhammad Maaz & Anastasios Papanastasiou, 2020. "Matching with Compatibility Constraints: The Case of the Canadian Medical Residency Match," Department of Economics Working Papers 2020-15, McMaster University.
    8. Ashwin Arulselvan & Agnes Cseh & Martin Groß & David F. Manlove & Jannik Matuschke, 2017. "Matchings with lower quotas: Algorithms and complexity," CERS-IE WORKING PAPERS 1724, Institute of Economics, Centre for Economic and Regional Studies.
    9. Kadam, Sangram Vilasrao, 2017. "Unilateral substitutability implies substitutable completability in many-to-one matching with contracts," Games and Economic Behavior, Elsevier, vol. 102(C), pages 56-68.
    10. Muhammad Maaz & Anastasios Papanastasiou, 2020. "Matching with compatibility constraints: The case of the Canadian medical residency match," The Journal of Mechanism and Institution Design, Society for the Promotion of Mechanism and Institution Design, University of York, vol. 5(1), pages 99-117, December.
    11. Hai Nguyen & Thành Nguyen & Alexander Teytelboym, 2021. "Stability in Matching Markets with Complex Constraints," Management Science, INFORMS, vol. 67(12), pages 7438-7454, December.
    12. Committee, Nobel Prize, 2020. "Improvements to auction theory and inventions of new auction formats," Nobel Prize in Economics documents 2020-2, Nobel Prize Committee.
    13. Sebastian Montano Correa, 2015. "Compulsory Social Service Matching Market for Physicians in Colombia," Documentos CEDE 12856, Universidad de los Andes, Facultad de Economía, CEDE.
    14. Kojima, Fuhito & Tamura, Akihisa & Yokoo, Makoto, 2018. "Designing matching mechanisms under constraints: An approach from discrete convex analysis," Journal of Economic Theory, Elsevier, vol. 176(C), pages 803-833.
    15. Yoichi Kasajima & Manabu Toda, 2021. "Singles monotonicity and stability in one-to-one matching problems," Working Papers 2023-1, Waseda University, Faculty of Political Science and Economics.
    16. Galina Besstremyannaya, 2014. "The efficiency of labor matching and remuneration reforms: a panel data quantile regression approach with endogenous treatment variables," Working Papers w0206, New Economic School (NES).

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