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Triage in Kidney Exchange

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  • Jorgen Kratz

Abstract

This paper studies a kidney exchange problem in which a planner sorts patients into "priority groups" based on, e.g., the severity of their conditions. The planner may choose to allow cyclic exchanges, chains, altruistically unbalanced exchanges and desensitization. It presents a computational method for finding a new class of matchings that give priority to patients in higher priority groups, called "priority group matchings". These matchings are always Pareto efficient no matter how patients are sorted into priority groups or how the kidney exchange program is designed by the planner. Priority group matchings generalize several classes of matchings, where different classes correspond to different ways of prioritizing patients. This includes maximum matchings and (half-compatibility) priority matchings.

Suggested Citation

  • Jorgen Kratz, 2019. "Triage in Kidney Exchange," Discussion Papers 19/04, Department of Economics, University of York.
    • Handle: RePEc:yor:yorken:19/04
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    References listed on IDEAS

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    1. Sönmez, Tayfun & Ünver, M. Utku, 2014. "Altruistically unbalanced kidney exchange," Journal of Economic Theory, Elsevier, vol. 152(C), pages 105-129.
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    4. Roth, Alvin E. & Sonmez, Tayfun & Unver, Utku & Delmonico, Francis & Saidman, Susan L., 2014. "Utilizing List Exchange and Non-directed Donation through “Chain” Paired Kidney Donations," MPRA Paper 58246, University Library of Munich, Germany.
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    9. Constantino, Miguel & Klimentova, Xenia & Viana, Ana & Rais, Abdur, 2013. "New insights on integer-programming models for the kidney exchange problem," European Journal of Operational Research, Elsevier, vol. 231(1), pages 57-68.
    10. Andersson, Tommy & Kratz, Jörgen, 2016. "Kidney Exchange over the Blood Group Barrier," Working Papers 2016:11, Lund University, Department of Economics, revised 29 Nov 2017.
    11. Lawrence M. Ausubel & Thayer Morrill, 2014. "Sequential Kidney Exchange," American Economic Journal: Microeconomics, American Economic Association, vol. 6(3), pages 265-285, August.
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    More about this item

    Keywords

    Kidney exchange; triage; priority matching; priority group; threshold matching; desensitization.;
    All these keywords.

    JEL classification:

    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D47 - Microeconomics - - Market Structure, Pricing, and Design - - - Market Design

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