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Improving Fairness and Efficiency in Matching with Distributional Constraints: An Alternative Solution for the Japanese Medical Residency Match

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  • Goto, Masahiro
  • Iwasaki, Atsushi
  • Kawasaki, Yujiro
  • Yasuda, Yosuke
  • Yokoo, Makoto

Abstract

Regional imbalance of doctors is a serious issue in many countries. In an attempt to average the geographical distribution of doctors, the Japanese government introduced ``regional caps'' recently, restricting the total number of medical residents matched within each region. Motivated by this policy change, Kamada and Kojima (2013) proposed a mechanism called the flexible deferred acceptance mechanism (FDA) that makes every doctor weakly better off than the current system. In this paper, we further study this problem and develop an alternative mechanism that we call the priority-list based deferred acceptance mechanism (PLDA). Both mechanisms enable hospitals in the same region to fill their capacities flexibly until the regional cap is filled. FDA lets hospitals take turns to (tentatively) choose the best remaining doctor, while PLDA lets each region directly decide which doctor is (tentatively) matched with which hospital based on its priority list. We show that PLDA performs better than FDA in terms of efficiency and fairness through theoretical and computational analyses.

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Bibliographic Info

Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 53409.

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Date of creation: Feb 2014
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Handle: RePEc:pra:mprapa:53409

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Related research

Keywords: distributional constraints; medical residency matching; school admission; stability; fairness; nonwastefulness; efficiency; strategy-proofness; matching with contracts;

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  1. Alvin E Roth, 2007. "Deferred Acceptance Algorithms: History, Theory, Practice, and Open Questions," Levine's Bibliography 843644000000000283, UCLA Department of Economics.
  2. Roth, Alvin E, 1986. "On the Allocation of Residents to Rural Hospitals: A General Property of Two-Sided Matching Markets," Econometrica, Econometric Society, vol. 54(2), pages 425-27, March.
  3. Daniel Monte & Norovsambuu Tumennasan, 2012. "Matching with Quorums," Economics Working Papers 2012-10, School of Economics and Management, University of Aarhus.
  4. Sebastian Braun & Nadja Dwenger & Dorothea Kübler & Alexander Westkamp, 2011. "Implementing quotas in university admissions: An experimental analysis," Working Papers implementing_quotas_in_un, Max Planck Institute for Tax Law and Public Finance.
  5. 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.
  6. EHLERS, Lars & HAFALIR, Isa E. & YENMEZ, M. Bumin & YILDIRIM, Muhammed A., 2011. "School Choice with Controlled Choice Constraints: Hard Bounds versus Soft Bounds," Cahiers de recherche 2011-08, Universite de Montreal, Departement de sciences economiques.
  7. Roth, Alvin E, 1984. "The Evolution of the Labor Market for Medical Interns and Residents: A Case Study in Game Theory," Journal of Political Economy, University of Chicago Press, vol. 92(6), pages 991-1016, December.
  8. Yenmez, M. Bumin & Yildirim, Muhammed Ali & Hafalir, Isa Emin, 2013. "Effective affirmative action in school choice," Theoretical Economics, Econometric Society, vol. 8(2), May.
  9. Atila Abdulkadiroğlu, 2005. "College admissions with affirmative action," International Journal of Game Theory, Springer, vol. 33(4), pages 535-549, November.
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