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Multi-period Matching


  • Kadam, Sangram V.

    (Harvard University)

  • Kotowski, Maciej H.

    (Harvard University)


We examine a dynamic, multi-period, bilateral matching market, such as a labor market where workers are long-lived and production occurs over a period of time. We define and identify sufficient conditions for the existence of a dynamically stable matching. Our framework accommodates many forms of inter-temporal preference complementarities, including a taste for variety and a status-quo bias. Extensions of our model incorporating imperfect information and financial transfers are proposed. We relate our analysis to market unraveling and to common market design applications, including the medical residency match.

Suggested Citation

  • Kadam, Sangram V. & Kotowski, Maciej H., 2015. "Multi-period Matching," Working Paper Series rwp15-030, Harvard University, John F. Kennedy School of Government.
  • Handle: RePEc:ecl:harjfk:rwp15-030

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    Other versions of this item:

    • Sangram V. Kadam & Maciej H. Kotowski, 2018. "Multiperiod Matching," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 59(4), pages 1927-1947, November.


    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.

    Cited by:

    1. Kadam, Sangram V. & Kotowski, Maciej H., 2018. "Time horizons, lattice structures, and welfare in multi-period matching markets," Games and Economic Behavior, Elsevier, vol. 112(C), pages 1-20.
    2. Itai Ashlagi & Maximilien Burq & Patrick Jaillet & Vahideh Manshadi, 2019. "On Matching and Thickness in Heterogeneous Dynamic Markets," Operations Research, INFORMS, vol. 67(4), pages 927-949, July.
    3. Pycia, Marek & Yenmez, M. Bumin, 2019. "Matching with Externalities," CEPR Discussion Papers 13994, C.E.P.R. Discussion Papers.
    4. Liu, Ce, 2018. "Stability in Repeated Matching Markets," Working Papers 2018-13, Michigan State University, Department of Economics.
    5. Kotowski, Maciej H., 2015. "A Note on Stability in One-to-One, Multi-period Matching Markets," Working Paper Series rwp15-042, Harvard University, John F. Kennedy School of Government.
    6. John Kennes & Daniel Monte & Norovsambuu Tumennasan, 2015. "Dynamic Matching Markets and the Deferred Acceptance Mechanism," Economics Working Papers 2015-23, Department of Economics and Business Economics, Aarhus University.
    7. Hirata, Daisuke & Kasuya, Yusuke & Tomoeda, Kentaro, 2021. "Stability against robust deviations in the roommate problem," Games and Economic Behavior, Elsevier, vol. 130(C), pages 474-498.
    8. Shi, Fanqi, 2021. "Stability in sequential matching with incomplete information," Games and Economic Behavior, Elsevier, vol. 129(C), pages 492-502.
    9. Schummer, James, 2021. "Influencing waiting lists," Journal of Economic Theory, Elsevier, vol. 195(C).
    10. Dimakopoulos, Philipp D. & Heller, C.-Philipp, 2019. "Matching with waiting times: The German entry-level labor market for lawyers," Games and Economic Behavior, Elsevier, vol. 115(C), pages 289-313.
    11. Haeringer, Guillaume & Iehlé, Vincent, 2021. "Gradual college admission," Journal of Economic Theory, Elsevier, vol. 198(C).
    12. Liu, Ce & Ali, S. Nageeb, 2019. "Conventions and Coalitions in Repeated Games," Working Papers 2019-8, Michigan State University, Department of Economics.
    13. Morimitsu Kurino, 2020. "Credibility, efficiency, and stability: a theory of dynamic matching markets," The Japanese Economic Review, Springer, vol. 71(1), pages 135-165, January.
    14. Yannai A. Gonczarowski & Scott Duke Kominers & Ran I. Shorrer, 2019. "To Infinity and Beyond: A General Framework for Scaling Economic Theories," Papers 1906.10333,, revised Apr 2023.
    15. ANDERSSON, Tommy & EHLERS, Lars & MARTINELLO, Alessandro, 2018. "Dynamic refugee matching," Cahiers de recherche 2018-16, Universite de Montreal, Departement de sciences economiques.
    16. Davi B. Costa, 2021. "Benefits of marriage as a search strategy," Papers 2108.04885,, revised Aug 2021.
    17. Ramesh Johari & Vijay Kamble & Yash Kanoria, 2021. "Matching While Learning," Operations Research, INFORMS, vol. 69(2), pages 655-681, March.
    18. Ce Liu, 2020. "Stability in Repeated Matching Markets," Papers 2007.03794,, revised Mar 2021.
    19. Matsui, Akihiko & Murakami, Megumi, 2022. "Deferred acceptance algorithm with retrade," Mathematical Social Sciences, Elsevier, vol. 120(C), pages 50-65.

    More about this item

    JEL classification:

    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D47 - Microeconomics - - Market Structure, Pricing, and Design - - - Market Design

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