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Choice and Matching

Author

Listed:
  • Christopher P. Chambers
  • M. Bumin Yenmez

Abstract

We study path-independent choice rules applied to a matching context. We use a classic representation of these choice rules to introduce a powerful technique for matching theory. Using this technique, we provide a deferred acceptance algorithm for many-to-many matching markets with contracts and study its properties. Next, we obtain a compelling comparative static result: if one agent's choice expands, the remaining agents on her side of the market are made worse off, while agents on the other side of the market are made better off. Finally, we establish several results related to path-independent choice rules.

Suggested Citation

  • Christopher P. Chambers & M. Bumin Yenmez, 2017. "Choice and Matching," American Economic Journal: Microeconomics, American Economic Association, vol. 9(3), pages 126-147, August.
  • Handle: RePEc:aea:aejmic:v:9:y:2017:i:3:p:126-47
    Note: DOI: 10.1257/mic.20150236
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    More about this item

    JEL classification:

    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D11 - Microeconomics - - Household Behavior - - - Consumer Economics: Theory
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
    • D86 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Economics of Contract Law

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