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Stable one-to-one matchings with externalities

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  • Mumcu, Ayse
  • Saglam, Ismail

Abstract

We consider one-to-one matching with externalities, where the individuals are allowed to be single. We present sufficient conditions for the existence of the stable set and the core.

Suggested Citation

  • Mumcu, Ayse & Saglam, Ismail, 2010. "Stable one-to-one matchings with externalities," Mathematical Social Sciences, Elsevier, vol. 60(2), pages 154-159, September.
    • Handle: RePEc:eee:matsoc:v:60:y:2010:i:2:p:154-159
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    References listed on IDEAS

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    1. repec:ebl:ecbull:v:3:y:2007:i:57:p:1-5 is not listed on IDEAS
    2. Klaus, Bettina & Klijn, Flip, 2005. "Stable matchings and preferences of couples," Journal of Economic Theory, Elsevier, vol. 121(1), pages 75-106, March.
    3. Alcalde, Jose & Revilla, Pablo, 2004. "Researching with whom? Stability and manipulation," Journal of Mathematical Economics, Elsevier, vol. 40(8), pages 869-887, December.
    4. Ismail Saglam & Ayþe Mumcu, 2008. "Rationalizability of one-to-one matchings with externalities," Economics Bulletin, AccessEcon, vol. 4(33), pages 1-8.
    5. Bettina Klaus & Flip Klijn & Toshifumi Nakamura, 2005. "Corrigendum: Stable Matchings and Preferences of Couples," Working Papers 261, Barcelona School of Economics.
    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. Tayfun Sönmez & Suryapratim Banerjee & Hideo Konishi, 2001. "Core in a simple coalition formation game," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 18(1), pages 135-153.
    8. Prabal Roy Chowdhury, 2004. "Marriage markets with externalities," Discussion Papers 04-11, Indian Statistical Institute, Delhi.
    9. Dutta, Bhaskar & Masso, Jordi, 1997. "Stability of Matchings When Individuals Have Preferences over Colleagues," Journal of Economic Theory, Elsevier, vol. 75(2), pages 464-475, August.
    10. 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.
    11. repec:ebl:ecbull:v:4:y:2008:i:33:p:1-8 is not listed on IDEAS
    12. Conley, John P. & Konishi, Hideo, 2002. "Migration-proof Tiebout equilibrium: existence and asymptotic efficiency," Journal of Public Economics, Elsevier, vol. 86(2), pages 243-262, November.
    13. Ismail Saglam & Ayse Mumcu, 2007. "The core of a housing market with externalities," Economics Bulletin, AccessEcon, vol. 3(57), pages 1-5.
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    Citations

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    Cited by:

    1. 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).
    2. Fonseca-Mairena, María Haydée & Triossi, Matteo, 2022. "Incentives and implementation in allocation problems with externalities," Journal of Mathematical Economics, Elsevier, vol. 99(C).
    3. Pycia, Marek & Yenmez, M. Bumin, 2019. "Matching with Externalities," CEPR Discussion Papers 13994, C.E.P.R. Discussion Papers.
    4. Imamura, Kenzo & Konishi, Hideo & Pan, Chen-Yu, 2023. "Stability in matching with externalities: Pairs competition and oligopolistic joint ventures," Journal of Economic Behavior & Organization, Elsevier, vol. 205(C), pages 270-286.
    5. Schetter, Ulrich & Tejada, Oriol, 2018. "Globalization and the Concentration of Talent," VfS Annual Conference 2018 (Freiburg, Breisgau): Digital Economy 181562, Verein für Socialpolitik / German Economic Association.
    6. 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.
    7. Aslan, Fatma & Lainé, Jean, 2020. "Competitive equilibria in Shapley–Scarf markets with couples," Journal of Mathematical Economics, Elsevier, vol. 89(C), pages 66-78.
    8. Ekrem Akkaya & Ayþe Mumcu, 2012. "Student Placement Problems: An Application to the ERASMUS Exchange Program," Bogazici Journal, Review of Social, Economic and Administrative Studies, Bogazici University, Department of Economics, vol. 26(2), pages 63-82.
    9. Chen, Bo, 2021. "Labor market matching with ensuing competitive externalities in large economies," Mathematical Social Sciences, Elsevier, vol. 109(C), pages 12-17.
    10. Fisher, James C.D. & Hafalir, Isa E., 2016. "Matching with aggregate externalities," Mathematical Social Sciences, Elsevier, vol. 81(C), pages 1-7.
    11. Ayse Mumcu & Ismail Saglam, 2019. "Strategic Issues in One-to-One Matching with Externalities Abstract:," Working Papers 2019/03, Bogazici University, Department of Economics.
    12. Salgado Alfredo, 2020. "Many-to-one Matching: Externalities and Stability," Working Papers 2020-03, Banco de México.
    13. Bando, Keisuke, 2012. "Many-to-one matching markets with externalities among firms," Journal of Mathematical Economics, Elsevier, vol. 48(1), pages 14-20.
    14. Gersbach, Hans & Schmutzler, Armin, 2014. "Does globalization create superstars? A simple theory of managerial wages," European Economic Review, Elsevier, vol. 71(C), pages 34-51.
    15. Kenzo Imamura & Hideo Konishi, 2023. "Assortative Matching with Externalities and Farsighted Agents," Dynamic Games and Applications, Springer, vol. 13(2), pages 497-509, June.
    16. AyÅŸe Mumcu & Ismail Saglam, 2021. "Strategic Issues in One-to-One Matching with Externalities," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 23(02), pages 1-12, June.
    17. Bo Chen, 2019. "Downstream competition and upstream labor market matching," International Journal of Game Theory, Springer;Game Theory Society, vol. 48(4), pages 1055-1085, December.
    18. Braitt, Milton dos Santos & Torres-Martínez, Juan Pablo, 2021. "Matching with externalities: The role of prudence and social connectedness in stability," Journal of Mathematical Economics, Elsevier, vol. 92(C), pages 95-102.

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