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Priority matchings revisited

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  • Okumura, Yasunori

Abstract

We consider a pairwise kidney exchange model. Roth et al. (2005) define priority matchings of the model and introduce a mechanism to derive them. In this paper, we re-examine the priority matching. First, we consider a general priority ordering where multiple patients may hold equal priority. We provide a characterization of the priority matchings by using the concept of alternating paths. Using the characterization, we examine the effect of a small change in the priority order on a set of priority matchings. Moreover, we provide an efficient method to find a priority matching.

Suggested Citation

  • Okumura, Yasunori, 2014. "Priority matchings revisited," Games and Economic Behavior, Elsevier, vol. 88(C), pages 242-249.
    • Handle: RePEc:eee:gamebe:v:88:y:2014:i:c:p:242-249
    DOI: 10.1016/j.geb.2014.10.007
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    References listed on IDEAS

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    1. Roth, Alvin E. & Sonmez, Tayfun & Utku Unver, M., 2005. "Pairwise kidney exchange," Journal of Economic Theory, Elsevier, vol. 125(2), pages 151-188, December.
    2. Chung, Kim-Sau, 2000. "On the Existence of Stable Roommate Matchings," Games and Economic Behavior, Elsevier, vol. 33(2), pages 206-230, November.
    3. Anna Bogomolnaia & Herve Moulin, 2004. "Random Matching Under Dichotomous Preferences," Econometrica, Econometric Society, vol. 72(1), pages 257-279, January.
    4. Hatfield, John William, 2005. "Pairwise kidney exchange: Comment," Journal of Economic Theory, Elsevier, vol. 125(2), pages 189-193, December.
    5. Tayfun Sönmez & M. Utku Ünver, 2009. "Matching, Allocation, and Exchange of Discrete Resources," Boston College Working Papers in Economics 717, Boston College Department of Economics.
    Full references (including those not matched with items on IDEAS)

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    Cited by:

    1. Balbuzanov, Ivan, 2020. "Short trading cycles: Paired kidney exchange with strict ordinal preferences," Mathematical Social Sciences, Elsevier, vol. 104(C), pages 78-87.
    2. 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.
    3. Okumura, Yasunori, 2017. "A one-sided many-to-many matching problem," Journal of Mathematical Economics, Elsevier, vol. 72(C), pages 104-111.
    4. Eun Jeong Heo & Sunghoon Hong & Youngsub Chun, 2021. "Kidney exchange with immunosuppressants," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 72(1), pages 1-19, July.
    5. Haluk Ergin & Tayfun Sönmez & M. Utku Ünver, 2020. "Efficient and Incentive‐Compatible Liver Exchange," Econometrica, Econometric Society, vol. 88(3), pages 965-1005, May.
    6. Nicolò, Antonio & Rodríguez-Álvarez, Carmelo, 2017. "Age-based preferences in paired kidney exchange," Games and Economic Behavior, Elsevier, vol. 102(C), pages 508-524.
    7. Jorgen Kratz, 2019. "Triage in Kidney Exchange," Discussion Papers 19/04, Department of Economics, University of York.
    8. 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.
    9. Andersson , Tommy, 2015. "Pairwise Kidney Exchange with Blood-Group Incompatibility," Working Papers 2015:2, Lund University, Department of Economics.

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    More about this item

    Keywords

    Matching; Pairwise kidney exchange problem; Roommate problem; Priority mechanism; Polynomial-time algorithm;
    All these keywords.

    JEL classification:

    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D02 - Microeconomics - - General - - - Institutions: Design, Formation, Operations, and Impact
    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques

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