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One-to-One Matching with Interdependent Preferences

  • Mumcu, Ayse
  • Saglam, Ismail

In this paper, we introduce interdependent preferences to a classical one-to-one matching problem that allows for the prospect of being single, and study the existence and properties of stable matchings. We obtain the relationship between the stable set, the core, and the Pareto set, and give a sufficiency result for the existence of the stable set and the core. We also present several findings on the issues of gender optimality, lattices, strategy-proofness, and rationalizability.

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Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 1908.

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Date of creation: Nov 2006
Date of revision:
Handle: RePEc:pra:mprapa:1908
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  1. Roth, Alvin E, 1984. "The Evolution of the Labor Market for Medical Interns and Residents: A Case Study in Game Theory," Journal of Political Economy, University of Chicago Press, vol. 92(6), pages 991-1016, December.
  2. 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.
  3. Andrew Postlewaite, . ""The Social Basis of Interdependent Preferences''," CARESS Working Papres 97-14, University of Pennsylvania Center for Analytic Research and Economics in the Social Sciences.
  4. Klaus, Bettina & Klijn, Flip, 2005. "Stable matchings and preferences of couples," Journal of Economic Theory, Elsevier, vol. 121(1), pages 75-106, March.
  5. Gary Charness & Matthew Rabin, 2003. "Understanding Social Preferences with Simple Tests," General Economics and Teaching 0303002, EconWPA.
  6. 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.
  7. Efe A. Ok & Levent Koƚkesen, 2000. "Negatively interdependent preferences," Social Choice and Welfare, Springer, vol. 17(3), pages 533-558.
  8. Faruk Gul & Wolfgang Pesendorfer, 2006. "The Canonical Type Space for Interdependent Preferences," Levine's Bibliography 321307000000000457, UCLA Department of Economics.
  9. Sasaki, Hiroo & Toda, Manabu, 1996. "Two-Sided Matching Problems with Externalities," Journal of Economic Theory, Elsevier, vol. 70(1), pages 93-108, July.
  10. Pollak, Robert A, 1976. "Interdependent Preferences," American Economic Review, American Economic Association, vol. 66(3), pages 309-20, June.
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