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Representing roommates' preferences with symmetric utilities

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  • Alvaro Rodrigues-Neto, Jose

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.
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Suggested Citation

  • Alvaro Rodrigues-Neto, Jose, 2007. "Representing roommates' preferences with symmetric utilities," Journal of Economic Theory, Elsevier, vol. 135(1), pages 545-550, July.
    • Handle: RePEc:eee:jetheo:v:135:y:2007:i:1:p:545-550
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    References listed on IDEAS

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    1. Chung, Kim-Sau, 2000. "On the Existence of Stable Roommate Matchings," Games and Economic Behavior, Elsevier, vol. 33(2), pages 206-230, November.
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    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. Rodrigues-Neto, José Alvaro, 2013. "Acyclic roommates," Economics Letters, Elsevier, vol. 118(2), pages 304-306.
    4. 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.
    5. Pierre-Andr'e Chiappori & Alfred Galichon & Bernard Salani'e, 2021. "On Human Capital and Team Stability," Papers 2102.06487, arXiv.org.
    6. 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.
    7. 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.
    8. Gudmundsson, Jens, 2011. "On symmetry in the formation of stable partnerships," Working Papers 2011:29, Lund University, Department of Economics.
    9. 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).
    10. 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.
    11. Gudmundsson, Jens, 2013. "A Review of the Existence of Stable Roommate Matchings," Working Papers 2013:8, Lund University, Department of Economics.
    12. 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.
    13. 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.

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