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A Solution to Matching with Preferences over Colleagues

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  • Federico Echenique

    (California Institute of Technology)

Abstract

We study many-to-one matchings, such as the assignment of students to colleges, where the students have preferences over the other students who would attend the same college. It is well known that the core of this model may be empty, without strong assumptions on agents' preferences. We introduce a method that finds all core matchings, if any exist. The method requires no assumptions on preferences. Our method also finds certain partial solutions that may be useful when the core is empty.

Suggested Citation

  • Federico Echenique, 2005. "A Solution to Matching with Preferences over Colleagues," Game Theory and Information 0506005, University Library of Munich, Germany.
    • Handle: RePEc:wpa:wuwpga:0506005
    Note: Type of Document - pdf; pages: 28
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    References listed on IDEAS

    as
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    More about this item

    Keywords

    Two-sided Matching; Core; Externalities; Lattice; Tarski's Fixed Point Theorem; Gale-Shapley Algorithm;
    All these keywords.

    JEL classification:

    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory

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