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Strategic Issues in One-to-One Matching with Externalities

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  • Mumcu, Ayse
  • Saglam, Ismail

Abstract

We consider strategic issues in one-to-one matching with externalities. We show that no core (stable) mechanism is strategy-proof, extending an impossibility result of Roth (1982) obtained in the absence of externalities. Moreover, we show that there are no limits on successful manipulation of preferences by coalitions of men and women, in contrast with the result of Demange et al. (1987) obtained in the absence of externalities.

Suggested Citation

  • Mumcu, Ayse & Saglam, Ismail, 2019. "Strategic Issues in One-to-One Matching with Externalities," MPRA Paper 97698, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:97698
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    References listed on IDEAS

    as
    1. Alfredo Salgado-Torres, 2011. "A solution concept for housing market problems with externalities," Economics Bulletin, AccessEcon, vol. 31(1), pages 623-630.
    2. Klaus, Bettina & Klijn, Flip, 2005. "Stable matchings and preferences of couples," Journal of Economic Theory, Elsevier, vol. 121(1), pages 75-106, March.
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    5. Parag A. Pathak & Alvin E. Roth, 2013. "Matching with Couples: Stability and Incentives in Large Markets," The Quarterly Journal of Economics, Oxford University Press, vol. 128(4), pages 1585-1632.
    6. Sasaki, Hiroo & Toda, Manabu, 1996. "Two-Sided Matching Problems with Externalities," Journal of Economic Theory, Elsevier, vol. 70(1), pages 93-108, July.
    7. Fisher, James C.D. & Hafalir, Isa E., 2016. "Matching with aggregate externalities," Mathematical Social Sciences, Elsevier, vol. 81(C), pages 1-7.
    8. Gabrielle Demange & David Gale & Marilda Sotomayor, 1987. "A Further Note on the Stable Matching Problem," Post-Print halshs-00670980, HAL.
    9. Pablo Revilla, 2004. "Many-to-one Matching When Colleagues Matter," Economic Working Papers at Centro de Estudios Andaluces E2004/85, Centro de Estudios Andaluces.
    10. Prabal Roy Chowdhury, 2004. "Marriage markets with externalities," Discussion Papers 04-11, Indian Statistical Institute, Delhi.
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    13. Echenique, Federico & Yenmez, M. Bumin, 2007. "A solution to matching with preferences over colleagues," Games and Economic Behavior, Elsevier, vol. 59(1), pages 46-71, April.
    14. Kucuksenel Serkan, 2011. "Implementation of the Core in College Admissions Problems When Colleagues Matter," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 11(1), pages 1-14, September.
    15. Bando, Keisuke, 2014. "A modified deferred acceptance algorithm for many-to-one matching markets with externalities among firms," Journal of Mathematical Economics, Elsevier, vol. 52(C), pages 173-181.
    16. Mumcu, Ayse & Saglam, Ismail, 2010. "Stable one-to-one matchings with externalities," Mathematical Social Sciences, Elsevier, vol. 60(2), pages 154-159, September.
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    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    One-to-one matching; externalities; stability; core; strategic manipulation.;
    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
    • D62 - Microeconomics - - Welfare Economics - - - Externalities

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