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Age-based preferences in paired kidney exchange

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  • Nicolò, Antonio
  • Rodríguez-Álvarez, Carmelo

Abstract

We consider a Paired Kidney Exchange (PKE) model in which patients' preferences are restricted so that patients prefer kidneys from compatible younger donors to kidneys from older ones. We propose a family of rules, sequential priority rules, that only allow for pairwise exchanges and satisfy individual rationality, efficiency, strategy-proofness, and non-bossiness. These rules allocate kidneys according to a priority algorithm that gives priority to patients with younger donors and assign kidneys from younger donors first. We extend the analysis to rules that allow multiple ways exchanges and to the case of patients who have more than one potential donor.

Suggested Citation

  • Nicolò, Antonio & Rodríguez-Álvarez, Carmelo, 2017. "Age-based preferences in paired kidney exchange," Games and Economic Behavior, Elsevier, vol. 102(C), pages 508-524.
  • Handle: RePEc:eee:gamebe:v:102:y:2017:i:c:p:508-524
    DOI: 10.1016/j.geb.2017.02.006
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    1. Sönmez, Tayfun & Ünver, M. Utku, 2014. "Altruistically unbalanced kidney exchange," Journal of Economic Theory, Elsevier, vol. 152(C), pages 105-129.
    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. Chung, Kim-Sau, 2000. "On the Existence of Stable Roommate Matchings," Games and Economic Behavior, Elsevier, vol. 33(2), pages 206-230, November.
    5. 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.
    6. Tayfun Sönmez & M. Utku Ünver, 2015. "Enhancing the Efficiency of and Equity in Transplant Organ Allocation via Incentivized Exchange," Boston College Working Papers in Economics 868, Boston College Department of Economics.
    7. Tayfun Sonmez, 1999. "Strategy-Proofness and Essentially Single-Valued Cores," Econometrica, Econometric Society, vol. 67(3), pages 677-690, May.
    8. Szilvia Pápai, 2001. "Strategyproof single unit award rules," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 18(4), pages 785-798.
    9. Itai Ashlagi & Alvin E. Roth, 2012. "New Challenges in Multihospital Kidney Exchange," American Economic Review, American Economic Association, vol. 102(3), pages 354-359, May.
    10. Bird, Charles G., 1984. "Group incentive compatibility in a market with indivisible goods," Economics Letters, Elsevier, vol. 14(4), pages 309-313.
    11. Lawrence M. Ausubel & Thayer Morrill, 2014. "Sequential Kidney Exchange," American Economic Journal: Microeconomics, American Economic Association, vol. 6(3), pages 265-285, August.
    12. , & , E., 2014. "Free riding and participation in large scale, multi-hospital kidney exchange," Theoretical Economics, Econometric Society, vol. 9(3), September.
    13. Jaramillo, Paula & Manjunath, Vikram, 2012. "The difference indifference makes in strategy-proof allocation of objects," Journal of Economic Theory, Elsevier, vol. 147(5), pages 1913-1946.
    14. 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.
    15. Lars-Gunnar Svensson, 1999. "Strategy-proof allocation of indivisible goods," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 16(4), pages 557-567.
    16. Miyagawa, Eiichi, 2002. "Strategy-Proofness and the Core in House Allocation Problems," Games and Economic Behavior, Elsevier, vol. 38(2), pages 347-361, February.
    17. Alcalde-Unzu, Jorge & Molis, Elena, 2011. "Exchange of indivisible goods and indifferences: The Top Trading Absorbing Sets mechanisms," Games and Economic Behavior, Elsevier, vol. 73(1), pages 1-16, September.
    18. Hatfield, John William, 2005. "Pairwise kidney exchange: Comment," Journal of Economic Theory, Elsevier, vol. 125(2), pages 189-193, December.
    19. Okumura, Yasunori, 2014. "Priority matchings revisited," Games and Economic Behavior, Elsevier, vol. 88(C), pages 242-249.
    20. Shapley, Lloyd & Scarf, Herbert, 1974. "On cores and indivisibility," Journal of Mathematical Economics, Elsevier, vol. 1(1), pages 23-37, March.
    21. 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.
    22. YIlmaz, Özgür, 2011. "Kidney exchange: An egalitarian mechanism," Journal of Economic Theory, Elsevier, vol. 146(2), pages 592-618, March.
    23. Rees, Michael Kenneth & Kopke, Jonathan E. & Pelletier, Ronald P. & Segev, Dorry L. & Rutter, Matthew E. & Fabrega, Alfredo J. & Rogers, Jeffrey David & Pankewycz, Oleh G. & Hiller, Janet & Roth, Alvi, 2009. "A Nonsimultaneous, Extended, Altruistic-Donor Chain," Scholarly Articles 29408291, Harvard University Department of Economics.
    24. Hylland, Aanund & Zeckhauser, Richard, 1979. "The Efficient Allocation of Individuals to Positions," Journal of Political Economy, University of Chicago Press, vol. 87(2), pages 293-314, April.
    25. Ma, Jinpeng, 1994. "Strategy-Proofness and the Strict Core in a Market with Indivisibilities," International Journal of Game Theory, Springer;Game Theory Society, vol. 23(1), pages 75-83.
    26. Roth, Alvin E., 1982. "Incentive compatibility in a market with indivisible goods," Economics Letters, Elsevier, vol. 9(2), pages 127-132.
    27. Ehlers, Lars, 2002. "Coalitional Strategy-Proof House Allocation," Journal of Economic Theory, Elsevier, vol. 105(2), pages 298-317, August.
    28. Stefanos A. Zenios, 2002. "Optimal Control of a Paired-Kidney Exchange Program," Management Science, INFORMS, vol. 48(3), pages 328-342, March.
    29. Yılmaz, Özgür, 2014. "Kidney exchange: Further utilization of donors via listed exchange," Journal of Mathematical Economics, Elsevier, vol. 51(C), pages 178-186.
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    2. Tayfun Sönmez & M. Utku Ünver & M. Bumin Yenmez, 2020. "Incentivized Kidney Exchange," American Economic Review, American Economic Association, vol. 110(7), pages 2198-2224, July.
    3. Kratz, Jörgen, 2024. "Conflicting objectives in kidney exchange," Journal of Economic Theory, Elsevier, vol. 217(C).

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    More about this item

    Keywords

    Kidney exchange; Age-based preferences; Sequential priority rules; Strategy-proofness;
    All these keywords.

    JEL classification:

    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D47 - Microeconomics - - Market Structure, Pricing, and Design - - - Market Design
    • D78 - Microeconomics - - Analysis of Collective Decision-Making - - - Positive Analysis of Policy Formulation and Implementation
    • I10 - Health, Education, and Welfare - - Health - - - General

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