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Efficient and Incentive-Compatible Liver Exchange

Author

Listed:
  • Haluk Ergin

    () (Department of Economics, University of California at Berkeley)

  • Tayfun Sönmez

    () (Boston College)

  • M. Utku Ünver

    (Boston College)

Abstract

Liver exchange has been practiced in small numbers, mainly to overcome blood-type incom- patibility between patients and their living donors. A donor can donate either his smaller left lobe or the larger right lobe, although the former option is safer. Despite its elevated risk, right-lobe transplantation is often utilized due to size-compatibility requirement with the patient. We model liver exchange as a market-design problem, focusing on logistically simpler two-way exchanges. First, with two patient-donor sizes, we introduce an algorithm when only the safer left-lobe transplantation is feasible. We then introduce an individually rational, Pareto-efficient, and incentive-compatible mechanism that truthfully elicits the right- lobe-donation willingness of donors, and finally extend these results to a general model with any number of patient/donor sizes. The generalization requires new technical tools regarding bilateral exchanges under partial-order-induced preferences. Through simulations we show that not only liver exchange can increase the number of transplants by more than 30%, it can also increase the share of the safer left-lobe transplants.

Suggested Citation

  • Haluk Ergin & Tayfun Sönmez & M. Utku Ünver, 2018. "Efficient and Incentive-Compatible Liver Exchange," Boston College Working Papers in Economics 951, Boston College Department of Economics.
  • Handle: RePEc:boc:bocoec:951
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    File URL: http://fmwww.bc.edu/EC-P/wp951.pdf
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    References listed on IDEAS

    as
    1. James Schummer & Rakesh V. Vohra, 2013. "Assignment of Arrival Slots," American Economic Journal: Microeconomics, American Economic Association, vol. 5(2), pages 164-185, May.
    2. 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.
    3. Roth, Alvin E. & Sonmez, Tayfun & Utku Unver, M., 2005. "Pairwise kidney exchange," Journal of Economic Theory, Elsevier, vol. 125(2), pages 151-188, December.
    4. Fernández-Huertas Moraga, Jesús & Rapoport, Hillel, 2014. "Tradable immigration quotas," Journal of Public Economics, Elsevier, vol. 115(C), pages 94-108.
    5. 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.
    6. Paul Milgrom, 2000. "Putting Auction Theory to Work: The Simultaneous Ascending Auction," Journal of Political Economy, University of Chicago Press, vol. 108(2), pages 245-272, April.
    7. Atila Abdulkadiroglu & Tayfun Sönmez, 2003. "School Choice: A Mechanism Design Approach," American Economic Review, American Economic Association, vol. 93(3), pages 729-747, June.
    8. repec:wly:emetrp:v:85:y:2017:i::p:1645-1671 is not listed on IDEAS
    9. repec:eee:jetheo:v:170:y:2017:i:c:p:29-55 is not listed on IDEAS
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    11. Tayfun Sönmez & M. Utku Ünver, 2010. "Course Bidding At Business Schools," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 51(1), pages 99-123, February.
    12. 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.
    13. Haluk Ergin & Tayfun Sönmez & M. Utku Ünver, 2017. "Dual‐Donor Organ Exchange," Econometrica, Econometric Society, vol. 85, pages 1645-1671, September.
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    16. Nikhil Agarwal & Itai Ashlagi & Eduardo Azevedo & Clayton R. Featherstone & Ömer Karaduman, 2018. "Market Failure in Kidney Exchange," NBER Working Papers 24775, National Bureau of Economic Research, Inc.
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    More about this item

    Keywords

    Market design; liver exchange; matching; incentive compatibility; efficiency;

    JEL classification:

    • D47 - Microeconomics - - Market Structure, Pricing, and Design - - - Market Design
    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory

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