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Obvious Manipulations, Stability, and Efficiency in Matching Markets with No, Unitary, and Multiple Contracts: Three Different Results

Author

Listed:
  • R. Pablo Arribillaga

    (CONICET/UNSL)

  • Beatriz Millan

    (CONICET/UNSL/UNSJ)

  • Eliana Pepa Risma

    (CONICET/UNSL)

Abstract

In two-sided many-to-many matching markets under substitutable preferences —both with and without contracts— all stable-dominating mechanisms are manipulable. In light of this, we examine whether some of these mechanisms are at least not obviously manipulable (NOM). To this end, we discuss three established models that are encompassed by our general framework: the no-contract case, the unitary con tract case, and the multiple-contract case. Our results reveal fundamental differences among the three models. We transition from a no-contracts model, where all stable dominating mechanisms are NOM, to a multiple-contracts model, where all stable mechanisms and all efficient stable-dominating mechanisms are obviously manipulable (OM). In the intermediate case of unitary contracts the doctor-proposing DA mechanism remains NOM, but the hospital-proposing DA mechanism and all efficient stable-dominating mechanisms are OM. These findings reveal fundamental trade-offs between stability, efficiency, and NOM in these markets.

Suggested Citation

  • R. Pablo Arribillaga & Beatriz Millan & Eliana Pepa Risma, 2025. "Obvious Manipulations, Stability, and Efficiency in Matching Markets with No, Unitary, and Multiple Contracts: Three Different Results," Working Papers 363, Red Nacional de Investigadores en Economía (RedNIE).
    • Handle: RePEc:aoz:wpaper:363
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    File URL: https://rednie.eco.unc.edu.ar/files/DT/363.pdf
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    More about this item

    Keywords

    obvious manipulations; stability; efficiency; many-to-many matching; contracts.;
    All these keywords.

    JEL classification:

    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
    • D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior

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