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Multiperiod Matching

Author

Listed:
  • Sangram V. Kadam
  • Maciej H. Kotowski

Abstract

We examine a dynamic, two‐sided, one‐to‐one matching market where agents on both sides interact over a period of time. We define and identify sufficient conditions for the existence of a dynamically stable matching, which may require revisions to initial assignments. A generalization of the deferred acceptance algorithm can identify dynamically stable outcomes in a large class of economies, including cases with intertemporal preference complementarities. We relate our analysis to market unraveling and to common market design applications, including the medical residency match.

Suggested Citation

  • 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.
    • Handle: RePEc:wly:iecrev:v:59:y:2018:i:4:p:1927-1947
    DOI: 10.1111/iere.12324
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    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, arXiv.org, 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, arXiv.org, 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, arXiv.org, 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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