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The stability of the roommate problem revisited

  • INARRA, Elena

    ()

    (University of the Basque Country, Dep. Ftos. A. Económico I, E-48007 Bilbao, Spain)

  • LARREA, Conchi

    ()

    (University of the Basque Country, Dpto Economía Aplicada IV (Mathematics), E-48007 Bilbao, Spain)

  • MOLIS, Elena

    ()

    (Facultés Universitaires Saint-Louis, CEREC, B-1000 Bruxelles, Belgium and Université catholique de Louvain, CORE, B-1348 Louvain-la-Neuve, Belgium)

The lack of stability in some matching problems suggests that alternative solution concepts to the core might be a step towards furthering our understanding of matching market performance. We propose absorbing sets as a solution for the class of roommate problems with strict preferences. This solution, which always exists, either gives the matchings in the core or predicts other matchings when the core is empty. Furthermore, it satisfies the interesting property of outer stability. We also determine the matchings in absorbing sets and find that in the case of multiple absorbing sets a similar structure is shared by all.

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Paper provided by Université catholique de Louvain, Center for Operations Research and Econometrics (CORE) in its series CORE Discussion Papers with number 2010007.

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Date of creation: 01 Feb 2010
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Handle: RePEc:cor:louvco:2010007
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  1. Frank H. Page Jr. & Myrna H. Wooders & Samir Kamat, 2002. "Networks and Farsighted Stability," Computing in Economics and Finance 2002 370, Society for Computational Economics.
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  14. Roth, Alvin E. & Sotomayor, Marilda, 1992. "Two-sided matching," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 1, chapter 16, pages 485-541 Elsevier.
  15. Roth, Alvin E & Vande Vate, John H, 1990. "Random Paths to Stability in Two-Sided Matching," Econometrica, Econometric Society, vol. 58(6), pages 1475-80, November.
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