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Time Horizons, Lattice Structures, and Welfare in Multi-period Matching Markets

Author

Listed:
  • Kadam, Sangram V.

    (Harvard University)

  • Kotowski, Maciej H.

    (Harvard University)

Abstract

We analyze a T-period, bilateral matching economy without monetary transfers. Under natural restrictions on agents' preferences, which accommodate switching costs, status-quo bias, and other forms of inter-temporal complementarity, dynamically stable matchings exist. We propose an ordering of the set of dynamically stable matchings ensuring this set forms a lattice. We investigate the robustness of dynamically stable matchings with respect to the market's time horizon. We relate our analysis to market-design applications, including student-school assignment and labor markets.

Suggested Citation

  • Kadam, Sangram V. & Kotowski, Maciej H., 2015. "Time Horizons, Lattice Structures, and Welfare in Multi-period Matching Markets," Working Paper Series rwp15-031, Harvard University, John F. Kennedy School of Government.
    • Handle: RePEc:ecl:harjfk:rwp15-031
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    Cited by:

    1. is not listed on IDEAS
    2. Kotowski, Maciej H., 2024. "A perfectly robust approach to multiperiod matching problems," Journal of Economic Theory, Elsevier, vol. 222(C).
    3. 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.
    4. Haeringer, Guillaume & Iehlé, Vincent, 2021. "Gradual college admission," Journal of Economic Theory, Elsevier, vol. 198(C).
    5. Vincent Iehlé, 2016. "Gradual College Admisssion," Post-Print halshs-02367006, HAL.
    6. Liu, Ce, 2023. "Stability in repeated matching markets," Theoretical Economics, Econometric Society, vol. 18(4), November.
    7. Bando, Keisuke & Kawasaki, Ryo, 2024. "Stability and substitutability in multi-period matching markets," Games and Economic Behavior, Elsevier, vol. 147(C), pages 533-553.

    More about this item

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • 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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