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On sufficient conditions for the existence of stable matchings with contracts

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  • Zhang, Jun

Abstract

We introduce two new sufficient conditions for the existence of stable outcomes in many-to-one matching with contracts. The conditions subsume the observable substitutability of Hatfield et al. (2015) and the substitutable completability of Hatfield and Kominers (2016) as special cases. We also prove that unilaterally substitutability and irrelevance of rejected contracts imply substitutable completability.

Suggested Citation

  • Zhang, Jun, 2016. "On sufficient conditions for the existence of stable matchings with contracts," Economics Letters, Elsevier, vol. 145(C), pages 230-234.
    • Handle: RePEc:eee:ecolet:v:145:y:2016:i:c:p:230-234
    DOI: 10.1016/j.econlet.2016.06.029
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    References listed on IDEAS

    as
    1. Kominers, Scott Duke, 2012. "On the correspondence of contracts to salaries in (many-to-many) matching," Games and Economic Behavior, Elsevier, vol. 75(2), pages 984-989.
    2. John William Hatfield & Paul R. Milgrom, 2005. "Matching with Contracts," American Economic Review, American Economic Association, vol. 95(4), pages 913-935, September.
    3. Kadam, Sangram V, 2014. "Unilateral Substitutability implies Substitutable completability in many-to-one matching with contracts," Working Paper 139666, Harvard University OpenScholar.
    4. Orhan Ayg?n & Tayfun S?nmez, 2013. "Matching with Contracts: Comment," American Economic Review, American Economic Association, vol. 103(5), pages 2050-2051, August.
    5. Hatfield, John William & Kojima, Fuhito, 2010. "Substitutes and stability for matching with contracts," Journal of Economic Theory, Elsevier, vol. 145(5), pages 1704-1723, September.
    Full references (including those not matched with items on IDEAS)

    Citations

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    Cited by:

    1. Kadam, Sangram Vilasrao, 2017. "Unilateral substitutability implies substitutable completability in many-to-one matching with contracts," Games and Economic Behavior, Elsevier, vol. 102(C), pages 56-68.
    2. Ravi Jagadeesan, 2019. "Cadet-Branch Matching in a Kelso-Crawford Economy," American Economic Journal: Microeconomics, American Economic Association, vol. 11(3), pages 191-224, August.
    3. Bando, Keisuke & Hirai, Toshiyuki & Zhang, Jun, 2021. "Substitutes and stability for many-to-many matching with contracts," Games and Economic Behavior, Elsevier, vol. 129(C), pages 503-512.
    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.

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    More about this item

    Keywords

    Many-to-one matching; Stability; Substitutability; Irrelevance of rejected contracts;
    All these keywords.

    JEL classification:

    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D78 - Microeconomics - - Analysis of Collective Decision-Making - - - Positive Analysis of Policy Formulation and Implementation

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