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Relaxing the substitutes condition in matching markets with contracts

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  • Flanagan, Francis X.

Abstract

In the many-to-one matching model with contracts, I provide new necessary and new sufficient conditions for the existence of a stable allocation. These new conditions exploit the fact that one side of the market has strict preferences over individual contracts.

Suggested Citation

  • Flanagan, Francis X., 2014. "Relaxing the substitutes condition in matching markets with contracts," Economics Letters, Elsevier, vol. 123(2), pages 113-117.
    • Handle: RePEc:eee:ecolet:v:123:y:2014:i:2:p:113-117
    DOI: 10.1016/j.econlet.2014.01.040
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    References listed on IDEAS

    as
    1. John William Hatfield & Paul R. Milgrom, 2005. "Matching with Contracts," American Economic Review, American Economic Association, vol. 95(4), pages 913-935, September.
    2. 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.
    3. Roth, Alvin E, 1984. "Stability and Polarization of Interests in Job Matching," Econometrica, Econometric Society, vol. 52(1), pages 47-57, January.
    4. John William Hatfield & Fuhito Kojima, 2008. "Matching with Contracts: Comment," American Economic Review, American Economic Association, vol. 98(3), pages 1189-1194, June.
    5. Kelso, Alexander S, Jr & Crawford, Vincent P, 1982. "Job Matching, Coalition Formation, and Gross Substitutes," Econometrica, Econometric Society, vol. 50(6), pages 1483-1504, November.
    Full references (including those not matched with items on IDEAS)

    Citations

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    Cited by:

    1. Hirata, Daisuke & 平田, 大祐 & Kasuya, Yusuke & 糟谷, 祐介 & Okumura, Yasunori & 奥村, 保規, 2023. "Stability, Strategy-Proofness, and Respect for Improvements," Discussion Papers 2023-01, Graduate School of Economics, Hitotsubashi University.
    2. 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.
    3. Dimakopoulos, Philipp D. & Heller, C.-Philipp, 2015. "Matching with Waiting Times: The German Entry-Level Labour Market for Lawyers," VfS Annual Conference 2015 (Muenster): Economic Development - Theory and Policy 113153, Verein für Socialpolitik / German Economic Association.
    4. Philipp D. Dimakopoulos & Christian-Philipp Heller, "undated". "Matching with Waiting Times: The German Entry-Level Labour Market for Lawyers," BDPEMS Working Papers 2014005, Berlin School of Economics.
    5. 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.

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    More about this item

    Keywords

    Matching; Stability; Consistent substitutes;
    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

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