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Farsighted Stability for Roommate Markets

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Author Info

  • Bettina-Elisabeth Klaus

    ()
    (Harvard Business School, Negotiation, Organizations & Markets Unit)

  • Flip Klijn

    ()
    (Institute for Economic Analysis (CSIC))

  • Markus Walzl

    ()
    (Department of Economics, Bamberg University)

Abstract

Using a bi-choice graph technique (Klaus and Klijn, 2009), we show that a matching for a roommate market indirectly dominates another matching if and only if no blocking pair of the former is matched in the latter (Proposition 1). Using this characterization of indirect dominance, we investigate von Neumann-Morgenstern farsightedly stable sets. We show that a singleton is von Neumann-Morgenstern farsightedly stable if and only if the matching is stable (Theorem 1). We also present roommate markets with no and with a non-singleton von Neumann-Morgenstern farsightedly stable set (Examples 1 and 2).

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Bibliographic Info

Paper provided by Harvard Business School in its series Harvard Business School Working Papers with number 09-135.

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Length: 18 pages
Date of creation: May 2009
Date of revision:
Handle: RePEc:hbs:wpaper:09-135

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Related research

Keywords: core; farsighted stability; one- and two-sided matching; roommate markets; von Neumann-Morgenstern stability.;

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References

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  1. Vincent Vannetelbosch & Ana Mauleon & Wouter Vergote, 2008. "Von Neumann-Morgenstern Farsightedly Stable Sets in Two-Sided Matching," Working Papers 2008.29, Fondazione Eni Enrico Mattei.
  2. Klaus, Bettina & Klijn, Flip & Walzl, Markus, 2008. "Stochastic Stability for Roommate Markets," Research Memorandum 010, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
  3. Diamantoudi, Effrosyni & Miyagawa, Eiichi & Xue, Licun, 2004. "Random paths to stability in the roommate problem," Games and Economic Behavior, Elsevier, vol. 48(1), pages 18-28, July.
  4. Bettina Klaus & Flip Klijn, 2004. "Paths to Stability for Matching Markets with Couples," UFAE and IAE Working Papers 604.04, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC), revised 01 Dec 2005.
  5. EHLERS, Lars, 2005. "Von Neumann-Morgenstern Stable Sets in Matching Problems," Cahiers de recherche 2005-11, Universite de Montreal, Departement de sciences economiques.
  6. E. Inarra & C. Larrea & E. Molis, 2008. "Random paths to P-stability in the roommate problem," International Journal of Game Theory, Springer, vol. 36(3), pages 461-471, March.
  7. Effrosyni Diamantoudi & Licun Xue, . "Farsighted Stability in Hedonic Games," Economics Working Papers 2000-12, School of Economics and Management, University of Aarhus.
  8. Jean-Jacques, HERINGS & Ana, MAULEON & Vincent, VANNETELBOSCH, 2006. "Farsightedly stable networks," Discussion Papers (ECON - Département des Sciences Economiques) 2006046, Université catholique de Louvain, Département des Sciences Economiques.
  9. Bettina Klaus & Flip Klijn, 2007. "Smith and Rawls Share a Room," Working Papers 315, Barcelona Graduate School of Economics.
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Citations

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Cited by:
  1. N. Roketskiy, 2012. "Farsightedly Stable Matchings," Working Papers 12-26, NET Institute.
  2. Florian M. Biermann, 2011. "A Measure to Compare Matchings in Marriage Markets," Working Papers 2011.41, Fondazione Eni Enrico Mattei.
  3. MAULEON, Ana & MOLIS, Elena & VANNETELBOSCH, Vincent & VERGOTE , Wouter, 2013. "Dominance invariant one-to-one matching problems," CORE Discussion Papers 2013052, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  4. Ahmet Alkan & Alparslan Tuncay, 2014. "Pairing Games and Markets," Working Papers 2014.48, Fondazione Eni Enrico Mattei.
  5. MAULEON, Ana & MOLIS, Elena & VANNETELBOSCH, Vincent & VERGOTE, Wouter, 2011. "Absolutely stable roommate problems," CORE Discussion Papers 2011029, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).

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