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The core matchings of markets with transfers

  • Chambers, Christopher P.
  • Echenique, Federico

We characterize the structure of the set of core matchings of an assignment game (a two-sided market with transfers). Such a set satisfies a property we call consistency. Consistency of a set of matchings states that, for any matching v, if, for each agent i there exists a matching ? in the set for which ?(i) = v(i), then v is in the set. A set of matchings satisfies consistency if and only if there is an assignment game for which all elements of the set maximize the surplus. (JEL C78)

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Paper provided by California Institute of Technology, Division of the Humanities and Social Sciences in its series Working Papers with number 1298.

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Length: 32 pages
Date of creation: Oct 2008
Date of revision:
Handle: RePEc:clt:sswopa:1298
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  1. Jun Wako, 2006. "Another proof that assignment games have singleton cores only if multiple optimal matchings exist," Economic Theory, Springer, vol. 29(1), pages 213-217, September.
  2. Eugene Choo & Aloysius Siow, 2006. "Who Marries Whom and Why," Journal of Political Economy, University of Chicago Press, vol. 114(1), pages 175-201, February.
  3. Federico Echenique & Sangmok Lee & Matthew Shum & M. Bumin Yenmez, 2013. "The Revealed Preference Theory of Stable and Extremal Stable Matchings," Econometrica, Econometric Society, vol. 81(1), pages 153-171, 01.
  4. Becker, Gary S, 1973. "A Theory of Marriage: Part I," Journal of Political Economy, University of Chicago Press, vol. 81(4), pages 813-46, July-Aug..
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