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An Analysis of Top Trading Cycles in Two-Sided Matching Markets

Author

Listed:
  • Yeon-Koo Che

    (Dept. of Economics, Columbia University)

  • Olivier Tercieux

    (Dept. of Economics, Paris School of Economics)

Abstract

We study top trading cycles in a two-sided matching environment (Abdulkadiroglu and Sonmez (2003)) under the assumption that individuals’ preferences and objects’ priorities are drawn iid uniformly. The distributions of agents’ preferences and objects’ priorities remaining after a given round of TTC depend nontrivially on the exact history of the algorithm up to that round (and so need not be uniform iid). Despite the nontrivial history-dependence of evolving economies, we show that the number of individuals/objects assigned at each round follows a simple Markov chain and we explicitly derive the transition probabilities.

Suggested Citation

  • Yeon-Koo Che & Olivier Tercieux, 2015. "An Analysis of Top Trading Cycles in Two-Sided Matching Markets," Cowles Foundation Discussion Papers 2014, Cowles Foundation for Research in Economics, Yale University.
  • Handle: RePEc:cwl:cwldpp:2014
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    File URL: http://cowles.yale.edu/sites/default/files/files/pub/d20/d2014.pdf
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    References listed on IDEAS

    as
    1. Alvin E. Roth & Tayfun Sönmez & M. Utku Ünver, 2004. "Kidney Exchange," The Quarterly Journal of Economics, Oxford University Press, vol. 119(2), pages 457-488.
    2. Atila Abdulkadiroglu & Tayfun Sönmez, 2003. "School Choice: A Mechanism Design Approach," American Economic Review, American Economic Association, vol. 93(3), pages 729-747, June.
    Full references (including those not matched with items on IDEAS)

    More about this item

    Keywords

    Random matching markets; Markov property;

    JEL classification:

    • C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
    • D47 - Microeconomics - - Market Structure, Pricing, and Design - - - Market Design
    • D61 - Microeconomics - - Welfare Economics - - - Allocative Efficiency; Cost-Benefit Analysis
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement

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