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Conflicting Objectives in Kidney Exchange

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  • Jorgen Kratz

Abstract

There is no conflict between maximizing the number of transplants and giving priority to, e.g., highly HLA-sensitized recipients in kidney exchange programs that only permit pairwise exchanges. In some programs that feature cyclic exchanges or chains, however, giving priority to some recipients may reduce the number of transplants that can be carried out. This paper identifies the conditions under which there is a trade-off between prioritization and transplant maximization objectives. The results show that kidney exchange programs can permit some cyclic exchanges and chains without introducing such tradeoffs. Whether or not a kidney exchange program has conflicting objectives and regardless of how recipients are prioritized, it can ensure a Pareto efficient outcome by selecting from a new class of matchings. These generalize several classes of matchings used in practice and studied in the literature.

Suggested Citation

  • Jorgen Kratz, "undated". "Conflicting Objectives in Kidney Exchange," Discussion Papers 23/04, Department of Economics, University of York.
    • Handle: RePEc:yor:yorken:23/04
    as

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    References listed on IDEAS

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    1. Ross Anderson & Itai Ashlagi & David Gamarnik & Michael Rees & Alvin E. Roth & Tayfun Sönmez & M. Utku Ünver, 2015. "Kidney Exchange and the Alliance for Paired Donation: Operations Research Changes the Way Kidneys Are Transplanted," Interfaces, INFORMS, vol. 45(1), pages 26-42, February.
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    12. Tommy Andersson & Jörgen Kratz, 2020. "Pairwise Kidney Exchange over the Blood Group Barrier," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 87(3), pages 1091-1133.
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    14. Sönmez, Tayfun & Ünver, M. Utku & Yılmaz, Özgür, 2018. "How (not) to integrate blood subtyping technology to kidney exchange," Journal of Economic Theory, Elsevier, vol. 176(C), pages 193-231.
    15. Biró, Péter & van de Klundert, Joris & Manlove, David & Pettersson, William & Andersson, Tommy & Burnapp, Lisa & Chromy, Pavel & Delgado, Pablo & Dworczak, Piotr & Haase, Bernadette & Hemke, Aline & J, 2021. "Modelling and optimisation in European Kidney Exchange Programmes," European Journal of Operational Research, Elsevier, vol. 291(2), pages 447-456.
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    More about this item

    Keywords

    Kidney exchange; desensitization; priority; matroid; simplicial complex.;
    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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