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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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File URL: http://mpra.ub.uni-muenchen.de/1908/1/MPRA_paper_1908.pdf
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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
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Handle: RePEc:pra:mprapa:1908
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  1. Andrew Postlewaite, . "The Social Basis of Interdependent Preferences," Penn CARESS Working Papers 6bd000503382ae2f0b90d25e3, Penn Economics Department.
  2. Faruk Gul & Wolfgang Pesendorfer, 2005. "The Canonical Type Space for Interdependent Preferences," Levine's Bibliography 784828000000000434, UCLA Department of Economics.
  3. 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.
  4. Federico Echenique & Mehmet B. Yenmez, 2005. "A Solution to Matching with Preferences over Colleagues," Working Papers 2005.120, Fondazione Eni Enrico Mattei.
  5. Charness, Gary & Rabin, Matthew, 2001. "Understanding Social Preferences with Simple Tests," Department of Economics, Working Paper Series qt4qz9k8vg, Department of Economics, Institute for Business and Economic Research, UC Berkeley.
  6. Klaus, Bettina & Klijn, Flip, 2005. "Stable matchings and preferences of couples," Journal of Economic Theory, Elsevier, vol. 121(1), pages 75-106, March.
  7. Kockesen, Levent & Ok, Efe A., 1997. "Negatively Interdependent Preferences," Working Papers 97-02, C.V. Starr Center for Applied Economics, New York University.
  8. 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.
  9. Pollak, Robert A, 1976. "Interdependent Preferences," American Economic Review, American Economic Association, vol. 66(3), pages 309-20, June.
  10. Sasaki, Hiroo & Toda, Manabu, 1996. "Two-Sided Matching Problems with Externalities," Journal of Economic Theory, Elsevier, vol. 70(1), pages 93-108, July.
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