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Coalitional Matchings

Author

Listed:
  • Dinko Dimitrov

    (University of Bayreuth)

  • Emiliya Lazarova

    (School of Management and Economics, Queen’s University Belfast)

Abstract

A coalitional matching is a two-sided matching problem in which agents on each side of the market may form coalitions such as student groups and research teams who - when matched - form universities. We assume that each researcher has preferences over the research teams he would like to work in and over the student groups he would like to teach to. Correspondingly, each student has preferences over the groups of students he wants to study with and over the teams of researchers he would like to learn from. In this setup, we examine how the existence of core stable partitions on the distinct market sides, the restriction of agents’ preferences over groups to strict orderings, and the extent to which individual preferences respect common rankings shape the existence of core stable coalitional matchings.

Suggested Citation

  • Dinko Dimitrov & Emiliya Lazarova, 2008. "Coalitional Matchings," Working Papers 2008.45, Fondazione Eni Enrico Mattei.
  • Handle: RePEc:fem:femwpa:2008.45
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    References listed on IDEAS

    as
    1. 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.
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    Citations

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    Cited by:

    1. Emiliya Lazarova & Dinko Dimitrov, 2010. "Status-Seeking In Coalitional Matching Problems," Economics Working Papers 10-02, Queen's Management School, Queen's University Belfast.
    2. Dinko Dimitrov & Emiliya Lazarova, 2008. "Coalitional Matchings," Working Papers 2008.45, Fondazione Eni Enrico Mattei.
    3. Juan Cesco, 2012. "Hedonic games related to many-to-one matching problems," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 39(4), pages 737-749, October.
    4. Kominers, Scott Duke, 2010. "Matching with preferences over colleagues solves classical matching," Games and Economic Behavior, Elsevier, vol. 68(2), pages 773-780, March.
    5. Dimitrov, Dinko & Lazarova, Emiliya, 2011. "Two-sided coalitional matchings," Mathematical Social Sciences, Elsevier, vol. 62(1), pages 46-54, July.

    More about this item

    Keywords

    Coalitions; Common Rankings; Core; Stability; Totally Balanced Games; Two-Sided Matchings;

    JEL classification:

    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • J41 - Labor and Demographic Economics - - Particular Labor Markets - - - Labor Contracts
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

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