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One-to-One Matching with Interdependent Preferences

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Author Info
Mumcu, Ayse
Saglam, Ismail

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Abstract

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/
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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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Related research
Keywords: One-to-one matching externalities

Find related papers by JEL classification:
D62 - Microeconomics - - Welfare Economics - - - Externalities
C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory

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References listed on IDEAS
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  1. Federico Echenique, 2005. "A Solution to Matching with Preferences over Colleagues," Game Theory and Information 0506005, EconWPA. [Downloadable!]
    Other versions:
  2. Gary Charness & Matthew Rabin, 2002. "Understanding Social Preferences with Simple Tests," Department of Economics, Working Paper Series 1042, Department of Economics, Institute for Business and Economic Research, UC Berkeley. [Downloadable!]
    Other versions:
  3. Joel Sobel, 2005. "Interdependent Preferences and Reciprocity," Journal of Economic Literature, American Economic Association, vol. 43(2), pages 392-436, June. [Downloadable!] (restricted)
  4. Sasaki, Hiroo & Toda, Manabu, 1996. "Two-Sided Matching Problems with Externalities," Journal of Economic Theory, Elsevier, vol. 70(1), pages 93-108, July. [Downloadable!] (restricted)
  5. Postlewaite, Andrew, 1998. "The social basis of interdependent preferences," European Economic Review, Elsevier, vol. 42(3-5), pages 779-800, May. [Downloadable!] (restricted)
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  6. Klaus, Bettina & Klijn, Flip, 2005. "Stable matchings and preferences of couples," Journal of Economic Theory, Elsevier, vol. 121(1), pages 75-106, March. [Downloadable!] (restricted)
  7. 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. [Downloadable!] (restricted)
  8. Efe A. Ok & Levent KoÚkesen, 2000. "Negatively interdependent preferences," Social Choice and Welfare, Springer, vol. 17(3), pages 533-558. [Downloadable!] (restricted)
    Other versions:
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