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Two-sided strategy-proofness in many-to-many matching markets

Author

Listed:
  • Antonio Romero-Medina

    (Universidad Carlos III de Madrid)

  • Matteo Triossi

    (Ca’ Foscari University of Venice)

Abstract

We study the existence of group strategy-proof stable rules in many-to-many matching markets under responsiveness of agents’ preferences. We show that when firms have acyclical preferences over workers the set of stable matchings is a singleton, and the worker-optimal stable mechanism is a stable and group strategy-proof rule for firms and workers. Furthermore, acyclicity is the minimal condition guaranteeing the existence of stable and strategy-proof mechanisms in many-to-many matching markets.

Suggested Citation

  • Antonio Romero-Medina & Matteo Triossi, 2021. "Two-sided strategy-proofness in many-to-many matching markets," International Journal of Game Theory, Springer;Game Theory Society, vol. 50(1), pages 105-118, March.
    • Handle: RePEc:spr:jogath:v:50:y:2021:i:1:d:10.1007_s00182-020-00741-1
    DOI: 10.1007/s00182-020-00741-1
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    Cited by:

    1. Gutin, Gregory Z. & Neary, Philip R. & Yeo, Anders, 2023. "Unique stable matchings," Games and Economic Behavior, Elsevier, vol. 141(C), pages 529-547.
    2. Antonio Romero‐Medina & Matteo Triossi, 2020. "Strategy‐proof and group strategy‐proof stable mechanisms: An equivalence," International Journal of Economic Theory, The International Society for Economic Theory, vol. 16(3), pages 349-354, September.
    3. Romero-Medina, Antonio & Triossi, Matteo, 2018. "Centralized Course Allocation," UC3M Working papers. Economics 27388, Universidad Carlos III de Madrid. Departamento de Economía.

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    More about this item

    Keywords

    Many-to-many; Acyclicity; Stability; Strategy-proofness;
    All these keywords.

    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
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
    • D78 - Microeconomics - - Analysis of Collective Decision-Making - - - Positive Analysis of Policy Formulation and Implementation

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