IDEAS home Printed from https://ideas.repec.org/a/eee/gamebe/v91y2015icp284-296.html
   My bibliography  Save this article

Mix and match: A strategyproof mechanism for multi-hospital kidney exchange

Author

Listed:
  • Ashlagi, Itai
  • Fischer, Felix
  • Kash, Ian A.
  • Procaccia, Ariel D.

Abstract

As kidney exchange programs are growing, manipulation by hospitals becomes more of an issue. Assuming that hospitals wish to maximize the number of their own patients who receive a kidney, they may have an incentive to withhold some of their incompatible donor–patient pairs and match them internally, thus harming social welfare. We study mechanisms for two-way exchanges that are strategyproof, i.e., make it a dominant strategy for hospitals to report all their incompatible pairs. We establish lower bounds on the welfare loss of strategyproof mechanisms, both deterministic and randomized, and propose a randomized mechanism that guarantees at least half of the maximum social welfare in the worst case. Simulations using realistic distributions for blood types and other parameters suggest that in practice our mechanism performs much closer to optimal.

Suggested Citation

  • Ashlagi, Itai & Fischer, Felix & Kash, Ian A. & Procaccia, Ariel D., 2015. "Mix and match: A strategyproof mechanism for multi-hospital kidney exchange," Games and Economic Behavior, Elsevier, vol. 91(C), pages 284-296.
    • Handle: RePEc:eee:gamebe:v:91:y:2015:i:c:p:284-296
    DOI: 10.1016/j.geb.2013.05.008
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S089982561300081X
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.geb.2013.05.008?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    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, President and Fellows of Harvard College, vol. 119(2), pages 457-488.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Carvalho, Margarida & Lodi, Andrea, 2023. "A theoretical and computational equilibria analysis of a multi-player kidney exchange program," European Journal of Operational Research, Elsevier, vol. 305(1), pages 373-385.
    2. John P. Dickerson & Ariel D. Procaccia & Tuomas Sandholm, 2019. "Failure-Aware Kidney Exchange," Management Science, INFORMS, vol. 65(4), pages 1768-1791, April.
    3. Radu-Stefan Mincu & Péter Biró & Márton Gyetvai & Alexandru Popa & Utkarsh Verma, 2021. "IP solutions for international kidney exchange programmes," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 29(2), pages 403-423, June.
    4. Christian Haas & Margeret Hall, 2019. "Two-Sided Matching for mentor-mentee allocations—Algorithms and manipulation strategies," PLOS ONE, Public Library of Science, vol. 14(3), pages 1-27, March.
    5. 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 and Oxford Review of Economic Policy Limited, vol. 33(4), pages 676-704.
    6. Klimentova, Xenia & Viana, Ana & Pedroso, João Pedro & Santos, Nicolau, 2021. "Fairness models for multi-agent kidney exchange programmes," Omega, Elsevier, vol. 102(C).
    7. Avrim Blum & Paul Golz, 2021. "Incentive-Compatible Kidney Exchange in a Slightly Semi-Random Model," Papers 2106.11387, arXiv.org.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Ivan Balbuzanov & Maciej H. Kotowski, 2019. "Endowments, Exclusion, and Exchange," Econometrica, Econometric Society, vol. 87(5), pages 1663-1692, September.
    2. Alvin E. Roth, 2012. "Marketplace Institutions Related to the Timing of Transactions: Reply to Priest," Journal of Labor Economics, University of Chicago Press, vol. 30(2), pages 479-494.
    3. Zhu, Min, 2014. "College admissions in China: A mechanism design perspective," China Economic Review, Elsevier, vol. 30(C), pages 618-631.
    4. Alvin E. Roth, 2009. "What Have We Learned from Market Design?," Innovation Policy and the Economy, University of Chicago Press, vol. 9(1), pages 79-112.
    5. 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.
    6. Haluk Ergin & Tayfun Sönmez & M. Utku Ünver, 2020. "Efficient and Incentive‐Compatible Liver Exchange," Econometrica, Econometric Society, vol. 88(3), pages 965-1005, May.
    7. Nicolò, Antonio & Rodríguez-Álvarez, Carmelo, 2017. "Age-based preferences in paired kidney exchange," Games and Economic Behavior, Elsevier, vol. 102(C), pages 508-524.
    8. Harry J. Paarsch & Alberto M. Segre & John P. Roberts & Jeffrey B. Halldorson, 2011. "Competition and Post-Transplant Outcomes in Cadaveric Liver Transplantation under the MELD Scoring System," Carlo Alberto Notebooks 213, Collegio Carlo Alberto.
    9. YIlmaz, Özgür, 2011. "Kidney exchange: An egalitarian mechanism," Journal of Economic Theory, Elsevier, vol. 146(2), pages 592-618, March.
    10. Alvin Roth, 2008. "Deferred acceptance algorithms: history, theory, practice, and open questions," International Journal of Game Theory, Springer;Game Theory Society, vol. 36(3), pages 537-569, March.
    11. 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.
    12. , & , E., 2014. "Free riding and participation in large scale, multi-hospital kidney exchange," Theoretical Economics, Econometric Society, vol. 9(3), September.
    13. Committee, Nobel Prize, 2012. "Alvin E. Roth and Lloyd S. Shapley: Stable allocations and the practice of market design," Nobel Prize in Economics documents 2012-1, Nobel Prize Committee.
    14. Ekici, Özgün, 2020. "Random mechanisms for house allocation with existing tenants," Journal of Mathematical Economics, Elsevier, vol. 89(C), pages 53-65.
    15. Tayfun Sönmez, 2013. "Bidding for Army Career Specialties: Improving the ROTC Branching Mechanism," Journal of Political Economy, University of Chicago Press, vol. 121(1), pages 186-219.
    16. Haluk Ergin & Tayfun Sönmez & M. Utku Ünver, 2017. "Dual‐Donor Organ Exchange," Econometrica, Econometric Society, vol. 85, pages 1645-1671, September.
    17. Murat Kurt & Mark S. Roberts & Andrew J. Schaefer & M. Utku Ünver, 2011. "Valuing Prearranged Paired Kidney Exchanges: A Stochastic Game Approach," Boston College Working Papers in Economics 785, Boston College Department of Economics, revised 14 Oct 2011.
    18. Tayfun Sönmez & Tobias B. Switzer, 2013. "Matching With (Branch‐of‐Choice) Contracts at the United States Military Academy," Econometrica, Econometric Society, vol. 81(2), pages 451-488, March.
    19. Alvin E. Roth, 2007. "Repugnance as a Constraint on Markets," Journal of Economic Perspectives, American Economic Association, vol. 21(3), pages 37-58, Summer.
    20. 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 and Oxford Review of Economic Policy Limited, vol. 33(4), pages 676-704.

    More about this item

    Keywords

    Approximate mechanisms without money; Kidney exchange;

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:gamebe:v:91:y:2015:i:c:p:284-296. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/inca/622836 .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.