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Notes on marriage markets with weak externalities

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  • María Haydée Fonseca‐Mairena
  • Matteo Triossi

Abstract

We consider marriage markets with externalities. We focus on weak externalities, that is, markets in which each agent is primarily concerned about her partner. We formalize and prove the claim that weak externalities are not so significant in the marriage market: in this case, the ω‐core and the α‐core coincide and are both nonempty. In addition, we show that, if we allow agents to block matchings without changing their mate, the results do not longer hold.

Suggested Citation

  • María Haydée Fonseca‐Mairena & Matteo Triossi, 2023. "Notes on marriage markets with weak externalities," Bulletin of Economic Research, Wiley Blackwell, vol. 75(4), pages 860-868, October.
    • Handle: RePEc:bla:buecrs:v:75:y:2023:i:4:p:860-868
    DOI: 10.1111/boer.12384
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    References listed on IDEAS

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    1. Alvin E. Roth, 2007. "Repugnance as a Constraint on Markets," Journal of Economic Perspectives, American Economic Association, vol. 21(3), pages 37-58, Summer.
    2. Ehlers, Lars, 2018. "Strategy-proofness and essentially single-valued cores revisited," Journal of Economic Theory, Elsevier, vol. 176(C), pages 393-407.
    3. Fonseca-Mairena, María Haydée & Triossi, Matteo, 2022. "Incentives and implementation in allocation problems with externalities," Journal of Mathematical Economics, Elsevier, vol. 99(C).
    4. Hong, Miho & Park, Jaeok, 2022. "Core and top trading cycles in a market with indivisible goods and externalities," Journal of Mathematical Economics, Elsevier, vol. 100(C).
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