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Contracts versus salaries in matching: A general result

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  • Schlegel, Jan Christoph

Abstract

It is shown that a matching market with contracts can be embedded into a matching market with salaries under weaker conditions than substitutability of contracts. In particular, the result applies to the recently studied problem of cadet-to-branch matching. As an application of the embedding result, a new class of mechanisms for matching markets with contracts is defined that generalize the firm-proposing deferred acceptance algorithm to the case where contracts are unilateral substitutes for firms.

Suggested Citation

  • Schlegel, Jan Christoph, 2015. "Contracts versus salaries in matching: A general result," Journal of Economic Theory, Elsevier, vol. 159(PA), pages 552-573.
    • Handle: RePEc:eee:jetheo:v:159:y:2015:i:pa:p:552-573
    DOI: 10.1016/j.jet.2015.07.015
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    References listed on IDEAS

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    Cited by:

    1. Jan Christoph Schlegel, 2016. "Virtual Demand and Stable Mechanisms," Cahiers de Recherches Economiques du Département d'économie 16.11, Université de Lausanne, Faculté des HEC, Département d’économie.
    2. Kominers, Scott Duke & Sönmez, Tayfun, 2016. "Matching with slot-specific priorities: theory," Theoretical Economics, Econometric Society, vol. 11(2), May.
    3. Schlegel, Jan Christoph, 2020. "Equivalent choice functions and stable mechanisms," Games and Economic Behavior, Elsevier, vol. 123(C), pages 41-53.
    4. Hassidim, Avinatan & Romm, Assaf & Shorrer, Ran I., 2019. "Contracts are not salaries in the hidden-substitutes domain," Economics Letters, Elsevier, vol. 181(C), pages 40-42.
    5. Hirata, Daisuke & Kasuya, Yusuke, 2017. "On stable and strategy-proof rules in matching markets with contracts," Journal of Economic Theory, Elsevier, vol. 168(C), pages 27-43.
    6. Hatfield, John William & Kominers, Scott Duke, 2017. "Contract design and stability in many-to-many matching," Games and Economic Behavior, Elsevier, vol. 101(C), pages 78-97.

    More about this item

    Keywords

    Matching with contracts; Matching with salaries; Embedding; Substitutes; Unilateral substitutes; Bilateral substitutes;

    JEL classification:

    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory

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