IDEAS home Printed from https://ideas.repec.org/a/spr/joecth/v27y2006i2p431-447.html

Procedurally fair and stable matching

Author

Listed:
  • Bettina Klaus

  • Flip Klijn

Abstract

We motivate procedural fairness for matching mechanisms and study two procedurally fair and stable mechanisms: employment by lotto (Aldershof et al. , 1999) and the random order mechanism (Roth and Vande Vate, 1990, Ma, 1996). For both mechanisms we give various examples of probability distributions on the set of stable matchings and discuss properties that differentiate employment by lotto and the random order mechanism. Finally, we consider an adjustment of the random order mechanism, the equitable random order mechanism, that combines aspects of procedural and “endstate” fairness. Copyright Springer-Verlag Berlin/Heidelberg 2006

Suggested Citation

  • Bettina Klaus & Flip Klijn, 2006. "Procedurally fair and stable matching," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 27(2), pages 431-447, January.
    • Handle: RePEc:spr:joecth:v:27:y:2006:i:2:p:431-447
    DOI: 10.1007/s00199-004-0602-5
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s00199-004-0602-5
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1007/s00199-004-0602-5?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 look for a different version below or

    for a different version of it.

    Other versions of this item:

    Citations

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


    Cited by:

    1. Aziz, Haris & Brandt, Felix & Brill, Markus, 2013. "The computational complexity of random serial dictatorship," Economics Letters, Elsevier, vol. 121(3), pages 341-345.
    2. Elette Boyle & Federico Echenique, 2009. "Sequential entry in many-to-one matching markets," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 33(1), pages 87-99, June.
    3. Bubboloni, Daniela & Gori, Michele & Meo, Claudia, 2025. "Resolute and symmetric mechanisms for two-sided matching problems," Journal of Mathematical Economics, Elsevier, vol. 118(C).
    4. Li Xiong & Chengwen Wang & Zhaoran Xu, 2022. "Supply and demand matching model of P2P sharing accommodation platforms considering fairness," Electronic Commerce Research, Springer, vol. 22(3), pages 951-978, September.
    5. Sinong Ma & Zvi Safra, 2019. "Fairness and utilitarianism without independence," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 67(1), pages 29-52, February.
    6. repec:bge:wpaper:263 is not listed on IDEAS
    7. Federico Echenique & SangMok Lee & Matthew Shum & M. Bumin Yenmez, 2021. "Stability and Median Rationalizability for Aggregate Matchings," Games, MDPI, vol. 12(2), pages 1-15, April.
    8. Daniela Bubboloni & Michele Gori & Claudia Meo, 2024. "Resolute and symmetric mechanisms for two-sided matching problems," Papers 2404.01404, arXiv.org, revised Nov 2024.
    9. Rong Wang & Li Xu & Hashim Zameer & Yasir Ahmed Solangi, 2020. "Modeling Two-Sided Matching Considering Agents’ Psychological Behavior Based on Regret Theory," SAGE Open, , vol. 10(2), pages 21582440209, June.
    10. Thayer Morrill, 2013. "An alternative characterization of top trading cycles," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 54(1), pages 181-197, September.
    11. Aditya Kuvalekar & Antonio Romero-Medina, 2024. "A fair procedure in a marriage market," Review of Economic Design, Springer;Society for Economic Design, vol. 28(3), pages 533-550, September.
    12. Jian Jiang & Jie Li & Boyuan Xia, 2025. "Logistics–client stable matching under 4PL to reduce the empty-loaded rate," PLOS ONE, Public Library of Science, vol. 20(3), pages 1-26, March.
    13. Zhan Wang & Jinpeng Ma & Hongwei Zhang, 2023. "Stable and envy-free lottery allocations for affordable housing," The Journal of Mechanism and Institution Design, Society for the Promotion of Mechanism and Institution Design, University of York, vol. 8(1), pages 1-55, December.
    14. Jay Sethuraman & Chung-Piaw Teo & Liwen Qian, 2006. "Many-to-One Stable Matching: Geometry and Fairness," Mathematics of Operations Research, INFORMS, vol. 31(3), pages 581-596, August.
    15. Karla Atkins & Achla Marathe & Chris Barrett, 2007. "A computational approach to modeling commodity markets," Computational Economics, Springer;Society for Computational Economics, vol. 30(2), pages 125-142, September.
    16. Bettina Klaus & Flip Klijn, 2009. "Employment By Lotto Revisited," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 11(02), pages 181-198.
    17. Simon Mauras, 2020. "Two-Sided Random Matching Markets: Ex-Ante Equivalence of the Deferred Acceptance Procedures," Papers 2005.08584, arXiv.org.
    18. Bettina Klaus & Flip Klijn, 2006. "Median Stable Matching for College Admissions," International Journal of Game Theory, Springer;Game Theory Society, vol. 34(1), pages 1-11, April.
    19. Manjunath, Vikram, 2016. "Fractional matching markets," Games and Economic Behavior, Elsevier, vol. 100(C), pages 321-336.
    20. Christian Haas, 2021. "Two-Sided Matching with Indifferences: Using Heuristics to Improve Properties of Stable Matchings," Computational Economics, Springer;Society for Computational Economics, vol. 57(4), pages 1115-1148, April.
    21. Bettina Klaus & Flip Klijn, 2007. "Corrigendum to “On randomized matching mechanisms” [Economic Theory 8(1996)377–381]," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 32(2), pages 411-416, August.
    22. Sebastian Montano Correa, 2015. "Compulsory Social Service Matching Market for Physicians in Colombia," Documentos CEDE 12856, Universidad de los Andes, Facultad de Economía, CEDE.
    23. van Basshuysen, Philippe, 2023. "Markets, market algorithms, and algorithmic bias," LSE Research Online Documents on Economics 115694, London School of Economics and Political Science, LSE Library.
    24. Piotr Dworczak, 2021. "Deferred Acceptance with Compensation Chains," Operations Research, INFORMS, vol. 69(2), pages 456-468, March.
    25. Thayer Morrill, 2015. "Two simple variations of top trading cycles," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 60(1), pages 123-140, September.

    More about this item

    Keywords

    ;
    ;
    ;
    ;

    JEL classification:

    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement

    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:spr:joecth:v:27:y:2006:i:2:p:431-447. 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.

    We have no bibliographic references for this item. You can help adding them by using 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.