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Stable Matching Mechanisms under Distributional Constraints

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  • Yao Cheng
  • Zaifu Yang

Abstract

Motivated by the Chinese doctors, hospitals, and regions matching problem, we study a general matching model with complex distributional constraints. Doctors have preferences over hospitals. Hospitals have preferences over sets of doctors. Every hospital faces its floor and ceiling constraints on the number of doctors, and every region which has several hospitals also faces its floor and ceiling constraints on the number of doctors. We examine how to assign doctors to hospitals and regions in efficient, fair, stable, and strategy-proof ways. We propose two mechanisms for finding such solutions and explore their properties.

Suggested Citation

  • Yao Cheng & Zaifu Yang, 2023. "Stable Matching Mechanisms under Distributional Constraints," Discussion Papers 23/05, Department of Economics, University of York.
    • Handle: RePEc:yor:yorken:23/05
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    References listed on IDEAS

    as
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    More about this item

    Keywords

    Matching; distributional constraints; efficiency; fairness; incentive; stability. %strategy-proofness.;
    All these keywords.

    JEL classification:

    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D47 - Microeconomics - - Market Structure, Pricing, and Design - - - Market Design

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