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Stability and strategy-proofness for matching with constraints: a necessary and sufficient condition

Author

Listed:
  • Kamada, Yuichiro

    (Haas School of Business, University of California, Berkeley)

  • Kojima, Fuhito

    (Department of Economics, Stanford University)

Abstract

Distributional constraints are common features in many real matching markets, such as medical residency matching, school admissions, and teacher assignment. We develop a general theory of matching mechanisms under distributional constraints. We identify the necessary and sufficient condition on the constraint structure for the existence of a mechanism that is stable and strategy-proof for the individuals. Our proof exploits a connection between a matching problem under distributional constraints and a matching problem with contracts.

Suggested Citation

  • Kamada, Yuichiro & Kojima, Fuhito, 2018. "Stability and strategy-proofness for matching with constraints: a necessary and sufficient condition," Theoretical Economics, Econometric Society, vol. 13(2), May.
    • Handle: RePEc:the:publsh:2717
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    References listed on IDEAS

    as
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    More about this item

    Keywords

    Matching with constraints; medical residency matching; school choice; stability; strategy-proofness; matching with contracts; hierarchy;
    All these keywords.

    JEL classification:

    • C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
    • D47 - Microeconomics - - Market Structure, Pricing, and Design - - - Market Design
    • D61 - Microeconomics - - Welfare Economics - - - Allocative Efficiency; Cost-Benefit Analysis
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement

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