Altruistically Unbalanced Kidney Exchange
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.
|Date of creation:||01 Oct 2011|
|Date of revision:||30 Jun 2013|
|Contact details of provider:|| Postal: |
Web page: http://fmwww.bc.edu/EC/Email:
More information through EDIRC
References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Ãœnver, M. Utku & SÃ¶nmez, Tayfun & Roth, Alvin, 2007.
"Efficient Kidney Exchange: Coincidence of Wants in a Markets with Compatibility-Based Preferences,"
2562809, Harvard University Department of Economics.
- 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.
- Roth, Alvin & Ãœnver, M. Utku & SÃ¶nmez, Tayfun, 2004.
2580565, Harvard University Department of Economics.
- Alvin E. Roth & Tayfun Sönmez & M. Utku Ünver, 2004.
"Pairwise Kidney Exchange,"
Boston College Working Papers in Economics
620, Boston College Department of Economics.
- Alvin E. Roth & Tayfun Sonmez & M. Utku Unver, 2004. "Pairwise Kidney Exchange," Levine's Bibliography 122247000000000350, UCLA Department of Economics.
- Alvin E. Roth & Tayfun Sönmez & M. Utku Ünver, 2004. "Pairwise Kidney Exchange," Game Theory and Information 0408001, EconWPA, revised 16 Feb 2005.
- Alvin E. Roth & Tayfun Sonmez & M. Utku Unver, 2004. "Pairwise Kidney Exchange," NBER Working Papers 10698, National Bureau of Economic Research, Inc.
- Abdulkadiroglu, Atila & Sonmez, Tayfun, 1999. "House Allocation with Existing Tenants," Journal of Economic Theory, Elsevier, vol. 88(2), pages 233-260, October.
- Moulin, Herve & Bogomolnaia, Anna, 2001.
"Random Matching under Dichotomous Preferences,"
2001-03, Rice University, Department of Economics.
- Alvin E. Roth & Tayfun S�nmez, 2005.
"A Kidney Exchange Clearinghouse in New England,"
American Economic Review,
American Economic Association, vol. 95(2), pages 376-380, May.
- 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.
When requesting a correction, please mention this item's handle: RePEc:boc:bocoec:781. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Christopher F Baum)
If references are entirely missing, you can add them using this form.