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Priority matchings revisited

Author

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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. Hatfield, John William, 2005. "Pairwise kidney exchange: Comment," Journal of Economic Theory, Elsevier, vol. 125(2), pages 189-193, December.
    4. 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.
    5. Anna Bogomolnaia & Herve Moulin, 2004. "Random Matching Under Dichotomous Preferences," Econometrica, Econometric Society, vol. 72(1), pages 257-279, January.
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    Cited by:

    1. Kratz, Jörgen, 2024. "Conflicting objectives in kidney exchange," Journal of Economic Theory, Elsevier, vol. 217(C).
    2. Balbuzanov, Ivan, 2020. "Short trading cycles: Paired kidney exchange with strict ordinal preferences," Mathematical Social Sciences, Elsevier, vol. 104(C), pages 78-87.
    3. Haluk Ergin & Tayfun Sönmez & M. Utku Ünver, 2020. "Efficient and Incentive‐Compatible Liver Exchange," Econometrica, Econometric Society, vol. 88(3), pages 965-1005, May.
    4. 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.
    5. Okumura, Yasunori, 2017. "A one-sided many-to-many matching problem," Journal of Mathematical Economics, Elsevier, vol. 72(C), pages 104-111.
    6. Jorgen Kratz, 2019. "Triage in Kidney Exchange," Discussion Papers 19/04, Department of Economics, University of York.
    7. 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.
    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.
    10. Nicolò, Antonio & Rodríguez-Álvarez, Carmelo, 2017. "Age-based preferences in paired kidney exchange," Games and Economic Behavior, Elsevier, vol. 102(C), pages 508-524.

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    Keywords

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    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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