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Altruistically Unbalanced Kidney Exchange

  • Tayfun Sönmez

    ()

    (Boston College)

  • M. Utku Ünver

    (Boston College)

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 in- compatible pairs, and patients are indifferent over compatible pairs. Only two-way exchanges are permitted due to institutional constraints. We explore the structure of Pareto-efficient matchings in this framework. The mathematical structure of this model turns out to be quite novel. 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.

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Paper provided by Boston College Department of Economics in its series Boston College Working Papers in Economics with number 781.

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Date of creation: 01 Oct 2011
Date of revision: 30 Jun 2013
Handle: RePEc:boc:bocoec:781
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  1. Alvin E. Roth & Tayfun Sönmez & M. Utku Ünver, 2004. "Kidney Exchange," The Quarterly Journal of Economics, MIT Press, vol. 119(2), pages 457-488, May.
  2. Moulin, Herve & Bogomolnaia, Anna, 2001. "Random Matching under Dichotomous Preferences," Working Papers 2001-03, Rice University, Department of Economics.
  3. Roth, Alvin & Ünver, M. Utku & Sönmez, Tayfun, 2005. "A Kidney Exchange Clearinghouse in New England," Scholarly Articles 2562810, Harvard University Department of Economics.
  4. Roth, Alvin E. & Sonmez, Tayfun & Utku Unver, M., 2005. "Pairwise kidney exchange," Journal of Economic Theory, Elsevier, vol. 125(2), pages 151-188, December.
  5. Ünver, M. Utku & Sönmez, Tayfun & Roth, Alvin, 2007. "Efficient Kidney Exchange: Coincidence of Wants in a Markets with Compatibility-Based Preferences," Scholarly Articles 2562809, Harvard University Department of Economics.
  6. Abdulkadiroglu, Atila & Sonmez, Tayfun, 1999. "House Allocation with Existing Tenants," Journal of Economic Theory, Elsevier, vol. 88(2), pages 233-260, October.
  7. 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.
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