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Altruistically unbalanced kidney exchange

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  • Sönmez, Tayfun
  • Ünver, M. Utku

Abstract

Although a pilot national live-donor kidney exchange program was recently launched in the US, the kidney shortage is increasing faster than ever. A new solution paradigm is able to incorporate compatible pairs in exchange. In this paper, we consider an exchange framework that has both compatible and incompatible pairs, and patients are indifferent over compatible pairs. Only two-way exchanges are permitted because of institutional constraints. We explore the structure of Pareto-efficient matchings in this framework. We show that under Pareto-efficient matchings, the same number of patients receive transplants, and it is possible to construct Pareto-efficient matchings that match the same incompatible pairs while matching the least number of compatible pairs. We extend the celebrated Gallai–Edmonds Decomposition in the combinatorial optimization literature to our new framework. We also conduct comparative static exercises on how this decomposition changes as new compatible pairs join the pool.

Suggested Citation

  • Sönmez, Tayfun & Ünver, M. Utku, 2014. "Altruistically unbalanced kidney exchange," Journal of Economic Theory, Elsevier, vol. 152(C), pages 105-129.
  • Handle: RePEc:eee:jetheo:v:152:y:2014:i:c:p:105-129
    DOI: 10.1016/j.jet.2014.04.003
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    References listed on IDEAS

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    1. 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.
    2. Roth, Alvin E. & Sonmez, Tayfun & Utku Unver, M., 2005. "Pairwise kidney exchange," Journal of Economic Theory, Elsevier, vol. 125(2), pages 151-188, December.
    3. 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.
    4. Anna Bogomolnaia & Herve Moulin, 2004. "Random Matching Under Dichotomous Preferences," Econometrica, Econometric Society, vol. 72(1), pages 257-279, January.
    5. Saidman, Susan L. & Roth, Alvin E. & Sonmez, Tayfun & Unver, M. Utku & Delmonico, Francis L., 2014. "Increasing the Opportunity of Live Kidney Donation by Matching for Two and Three Way Exchanges," MPRA Paper 58247, University Library of Munich, Germany.
    6. 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.
    7. Abdulkadiroglu, Atila & Sonmez, Tayfun, 1999. "House Allocation with Existing Tenants," Journal of Economic Theory, Elsevier, vol. 88(2), pages 233-260, October.
    8. YIlmaz, Özgür, 2011. "Kidney exchange: An egalitarian mechanism," Journal of Economic Theory, Elsevier, vol. 146(2), pages 592-618, March.
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    Citations

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    Cited by:

    1. Anno, Hidekazu & Kurino, Morimitsu, 2016. "On the operation of multiple matching markets," Games and Economic Behavior, Elsevier, vol. 100(C), pages 166-185.
    2. Nicolò, Antonio & Rodríguez-Álvarez, Carmelo, 2017. "Age-based preferences in paired kidney exchange," Games and Economic Behavior, Elsevier, vol. 102(C), pages 508-524.
    3. Ashlagi, Itai & Roth, Alvin E., 2014. "Free riding and participation in large scale, multi-hospital kidney exchange," Theoretical Economics, Econometric Society, vol. 9(3), September.
    4. 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.
    5. repec:eee:mateco:v:72:y:2017:i:c:p:104-111 is not listed on IDEAS
    6. repec:oup:oxford:v:33:y:2017:i:4:p:676-704. is not listed on IDEAS
    7. Tayfun Sönmez & M. Utku Ünver & Özgür Yilmaz, 2016. "How (Not) to Integrate Blood Subtyping Technology to Kidney Exchange," Boston College Working Papers in Economics 900, Boston College Department of Economics, revised 15 Oct 2017.
    8. Tayfun Sönmez & M Utku Ünver, 2017. "Market design for living-donor organ exchanges: an economic policy perspective," Oxford Review of Economic Policy, Oxford University Press, vol. 33(4), pages 676-704.
    9. Yılmaz, Özgür, 2014. "Kidney exchange: Further utilization of donors via listed exchange," Journal of Mathematical Economics, Elsevier, vol. 51(C), pages 178-186.
    10. Umut Mert Dur & M. Utku Unver, 2015. "Two-Sided Matching via Balanced Exchange: Tuition and Worker Exchanges," Koç University-TUSIAD Economic Research Forum Working Papers 1508, Koc University-TUSIAD Economic Research Forum.
    11. Xu, Su Xiu & Cheng, Meng & Kong, Xiang T.R. & Yang, Hai & Huang, George Q., 2016. "Private parking slot sharing," Transportation Research Part B: Methodological, Elsevier, vol. 93(PA), pages 596-617.
    12. Youngsub Chun & Eun jeong Heo & Sunghoon Heo, 2017. "Kidney exchange with immunosuppressants," Vanderbilt University Department of Economics Working Papers 17-00012, Vanderbilt University Department of Economics.
    13. Itai Ashlagi & David Gamarnik & Michael A. Rees & Alvin E. Roth, 2012. "The Need for (long) Chains in Kidney Exchange," NBER Working Papers 18202, National Bureau of Economic Research, Inc.
    14. Nicoló, Antonio & Rodríguez-Álvarez, Carmelo, 2012. "Transplant quality and patientsʼ preferences in paired kidney exchange," Games and Economic Behavior, Elsevier, vol. 74(1), pages 299-310.

    More about this item

    Keywords

    Kidney exchange; Market design; Matching;

    JEL classification:

    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D78 - Microeconomics - - Analysis of Collective Decision-Making - - - Positive Analysis of Policy Formulation and Implementation
    • D02 - Microeconomics - - General - - - Institutions: Design, Formation, Operations, and Impact
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement

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