IDEAS home Printed from https://ideas.repec.org/p/bcb/wpaper/105.html
   My bibliography  Save this paper

Representing Roomates' Preferences with Symmetric Utilities

Author

Listed:
  • José Álvaro Rodrigues Neto

Abstract

In the context of the stable roommates problem, it is shown that acyclicity of preferences is equivalent to the existence of symmetric utility functions, i.e. the utility of agent i when matched with j is the same as j's utility when matched with i.

Suggested Citation

  • José Álvaro Rodrigues Neto, 2006. "Representing Roomates' Preferences with Symmetric Utilities," Working Papers Series 105, Central Bank of Brazil, Research Department.
    • Handle: RePEc:bcb:wpaper:105
    as

    Download full text from publisher

    File URL: https://www.bcb.gov.br/content/publicacoes/WorkingPaperSeries/wps105.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Chung, Kim-Sau, 2000. "On the Existence of Stable Roommate Matchings," Games and Economic Behavior, Elsevier, vol. 33(2), pages 206-230, November.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Nora Gordon & Brian Knight, 2006. "The Causes of Political Integration: An Application to School Districts," NBER Working Papers 12047, National Bureau of Economic Research, Inc.
    2. Pierre-André Chiappori & Alfred Galichon & Bernard Salanié, 2019. "On Human Capital and Team Stability," Journal of Human Capital, University of Chicago Press, vol. 13(2), pages 236-259.
    3. Linde, Sebastian & Siebert, Ralph B., 2023. "Exploring the incremental merger value from multimarket and technology arguments," International Journal of Industrial Organization, Elsevier, vol. 87(C).
    4. Rodrigues-Neto, José Alvaro, 2013. "Acyclic roommates," Economics Letters, Elsevier, vol. 118(2), pages 304-306.
    5. Gordon, Nora & Knight, Brian, 2009. "A spatial merger estimator with an application to school district consolidation," Journal of Public Economics, Elsevier, vol. 93(5-6), pages 752-765, June.
    6. Gudmundsson, Jens, 2013. "A Review of the Existence of Stable Roommate Matchings," Working Papers 2013:8, Lund University, Department of Economics.
    7. Jens Gudmundsson, 2014. "When do stable roommate matchings exist? A review," Review of Economic Design, Springer;Society for Economic Design, vol. 18(2), pages 151-161, June.
    8. Jaeok Park, 2015. "Competitive Equilibrium and Singleton Cores in Generalized Matching Problems (published in:International Journal of Game Theory, May 2017, Vol.46, Issue2, 487-509)," Working papers 2015rwp-85, Yonsei University, Yonsei Economics Research Institute.
    9. Pierre-Andr'e Chiappori & Alfred Galichon & Bernard Salani'e, 2021. "On Human Capital and Team Stability," Papers 2102.06487, arXiv.org.
    10. Jaeok Park, 2017. "Competitive equilibrium and singleton cores in generalized matching problems," International Journal of Game Theory, Springer;Game Theory Society, vol. 46(2), pages 487-509, May.
    11. Greg Leo & Jian Lou & Martin Van der Linden & Yevgeniy Vorobeychik & Myrna Wooders, 2021. "Matching soulmates," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 23(5), pages 822-857, October.
    12. José Luis Contreras & Juan Pablo Torres-Martínez, 2021. "The roommate problem with externalities," International Journal of Game Theory, Springer;Game Theory Society, vol. 50(1), pages 149-165, March.
    13. Gudmundsson, Jens, 2011. "On symmetry in the formation of stable partnerships," Working Papers 2011:29, Lund University, Department of Economics.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Mauleon, Ana & Roehl, Nils & Vannetelbosch, Vincent, 2019. "Paths to stability for overlapping group structures," Journal of Mathematical Economics, Elsevier, vol. 83(C), pages 19-24.
    2. Gudmundsson, Jens, 2013. "Cycles and Third-Party Payments in the Partnership Formation Problem," Working Papers 2013:16, Lund University, Department of Economics.
    3. Azar Abizada, 2019. "Exchange-stability in roommate problems," Review of Economic Design, Springer;Society for Economic Design, vol. 23(1), pages 3-12, June.
    4. Roth, Alvin E. & Sonmez, Tayfun & Utku Unver, M., 2005. "Pairwise kidney exchange," Journal of Economic Theory, Elsevier, vol. 125(2), pages 151-188, December.
    5. Emiliya Lazarova & Dinko Dimitrov, 2017. "Paths to stability in two-sided matching under uncertainty," International Journal of Game Theory, Springer;Game Theory Society, vol. 46(1), pages 29-49, March.
    6. Özkal-Sanver, Ipek, 2010. "Impossibilities for roommate problems," Mathematical Social Sciences, Elsevier, vol. 59(3), pages 360-363, May.
    7. Bettina Klaus & Flip Klijn & Markus Walzl, 2007. "The Evolution of Roommate Networks: A Comment on Jackson and Watts JET (2002)," UFAE and IAE Working Papers 694.07, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
    8. Salonen, Hannu & Salonen, Mikko A.A., 2018. "Mutually best matches," Mathematical Social Sciences, Elsevier, vol. 91(C), pages 42-50.
    9. Papai, Szilvia, 2004. "Unique stability in simple coalition formation games," Games and Economic Behavior, Elsevier, vol. 48(2), pages 337-354, August.
    10. Talman, Dolf & Yang, Zaifu, 2011. "A model of partnership formation," Journal of Mathematical Economics, Elsevier, vol. 47(2), pages 206-212, March.
    11. Okumura, Yasunori, 2017. "A one-sided many-to-many matching problem," Journal of Mathematical Economics, Elsevier, vol. 72(C), pages 104-111.
    12. Ana Mauleon & Nils Roehl & Vincent Vannetelbosch, 2014. "Constitutions and Social Networks," Working Papers Dissertations 02, Paderborn University, Faculty of Business Administration and Economics.
    13. Herings, P.J.J. & Zhou, Yu, 2025. "Harmonious Equilibria in Roommate Problems," Discussion Paper 2025-001, Tilburg University, Center for Economic Research.
    14. Fonseca-Mairena, María Haydée & Triossi, Matteo, 2022. "Incentives and implementation in allocation problems with externalities," Journal of Mathematical Economics, Elsevier, vol. 99(C).
    15. Nicolò, Antonio & Rodríguez-Álvarez, Carmelo, 2017. "Age-based preferences in paired kidney exchange," Games and Economic Behavior, Elsevier, vol. 102(C), pages 508-524.
    16. Hirata, Daisuke & Kasuya, Yusuke & Tomoeda, Kentaro, 2021. "Stability against robust deviations in the roommate problem," Games and Economic Behavior, Elsevier, vol. 130(C), pages 474-498.
    17. Burak Can & Bettina Klaus, 2013. "Consistency and population sensitivity properties in marriage and roommate markets," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 41(4), pages 835-862, October.
    18. Gilles, Robert P. & Lazarova, Emiliya A. & Ruys, Pieter H.M., 2015. "Stability in a network economy: The role of institutions," Journal of Economic Behavior & Organization, Elsevier, vol. 119(C), pages 375-399.
    19. Alvin Roth, 2008. "Deferred acceptance algorithms: history, theory, practice, and open questions," International Journal of Game Theory, Springer;Game Theory Society, vol. 36(3), pages 537-569, March.
    20. Francis Bloch & Effrosyni Diamantoudi, 2011. "Noncooperative formation of coalitions in hedonic games," International Journal of Game Theory, Springer;Game Theory Society, vol. 40(2), pages 263-280, May.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:bcb:wpaper:105. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Rodrigo Barbone Gonzalez (email available below). General contact details of provider: https://www.bcb.gov.br/en .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.