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Kidney exchange: Further utilization of donors via listed exchange

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  • Yılmaz, Özgür

Abstract

There is a set of incompatible patient–donor pairs and these pairs are matched pairwise. A match between two pairs corresponds to a paired kidney donation, where pairs exchange donated kidneys, or a paired listed exchange, where the first donor donates a kidney to the deceased donor wait-list, the first patient receives the kidney of the second donor, and the second patient receives a priority on the wait-list. We characterize the set of exchanges with the maximum number of transplants from the set of pairs. This characterization generalizes the well-known Gallai–Edmonds Decomposition Theorem.

Suggested Citation

  • Yılmaz, Özgür, 2014. "Kidney exchange: Further utilization of donors via listed exchange," Journal of Mathematical Economics, Elsevier, vol. 51(C), pages 178-186.
    • Handle: RePEc:eee:mateco:v:51:y:2014:i:c:p:178-186
    DOI: 10.1016/j.jmateco.2013.09.007
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    References listed on IDEAS

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    1. 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.
    2. Alvin E. Roth & Tayfun Sönmez, 2005. "A Kidney Exchange Clearinghouse in New England," American Economic Review, American Economic Association, vol. 95(2), pages 376-380, May.
    3. Alvin E. Roth & Tayfun Sönmez & M. Utku Ünver, 2004. "Kidney Exchange," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 119(2), pages 457-488.
    4. M. Utku Ünver, 2010. "Dynamic Kidney Exchange," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 77(1), pages 372-414.
    5. Sönmez, Tayfun & Ünver, M. Utku, 2014. "Altruistically unbalanced kidney exchange," Journal of Economic Theory, Elsevier, vol. 152(C), pages 105-129.
    6. YIlmaz, Özgür, 2011. "Kidney exchange: An egalitarian mechanism," Journal of Economic Theory, Elsevier, vol. 146(2), pages 592-618, March.
    7. Tayfun Sönmez & Alvin E. Roth & M. Utku Ünver, 2007. "Efficient Kidney Exchange: Coincidence of Wants in Markets with Compatibility-Based Preferences," American Economic Review, American Economic Association, vol. 97(3), pages 828-851, June.
    8. Roth, Alvin E. & Sonmez, Tayfun & Utku Unver, M., 2005. "Pairwise kidney exchange," Journal of Economic Theory, Elsevier, vol. 125(2), pages 151-188, December.
    9. Anna Bogomolnaia & Herve Moulin, 2004. "Random Matching Under Dichotomous Preferences," Econometrica, Econometric Society, vol. 72(1), pages 257-279, January.
    10. Stefanos A. Zenios, 2002. "Optimal Control of a Paired-Kidney Exchange Program," Management Science, INFORMS, vol. 48(3), pages 328-342, March.
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    Cited by:

    1. Nicolò, Antonio & Rodríguez-Álvarez, Carmelo, 2017. "Age-based preferences in paired kidney exchange," Games and Economic Behavior, Elsevier, vol. 102(C), pages 508-524.

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