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The Marriage Problem with Interdependent Preferences

Author

Listed:
  • Mohsen Pourpouneh

    (University of Copenhagen, IFRO, Rolighedsvej 25, Denmark)

  • Rasoul Ramezanian

    (Department of Mathematical Sciences, Ferdowsi University of Mashhad, Postal Code 91775-48953, Mashhad, Iran)

  • Arunava Sen

    (Indian Statistical Institute, Delhi Centre, 7 S.J.S. Sanganwal Marg, New Delhi 110016, Delhi, India)

Abstract

This paper considers the Gale–Shapley model with interdependent preferences. Women’s preferences over men are common knowledge but whether or not a man is acceptable depends on the preferences of men which are private information. It is shown that no ex-post incentive-compatible and ex-post stable matching rules exist. A characterization of ex-post incentive-compatible, ex-post individually rational and ex-post nonbossy matching rules in terms of modified priority rules is provided.

Suggested Citation

  • Mohsen Pourpouneh & Rasoul Ramezanian & Arunava Sen, 2020. "The Marriage Problem with Interdependent Preferences," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 22(02), pages 1-16, June.
    • Handle: RePEc:wsi:igtrxx:v:22:y:2020:i:02:n:s0219198920400058
    DOI: 10.1142/S0219198920400058
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    Cited by:

    1. Barberà, Salvador & Berga, Dolors & Moreno, Bernardo, 2022. "Restricted environments and incentive compatibility in interdependent values models," Games and Economic Behavior, Elsevier, vol. 131(C), pages 1-28.

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