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On randomized matching mechanisms (*)

Author

Listed:
  • Jinpeng Ma

    (Department of Economics, Rutgers University, Camden, NJ 08102, USA)

Abstract

This note showed by means of Knuth's example that some stable matchings may not be obtained by the random order mechanism.

Suggested Citation

  • Jinpeng Ma, 1996. "On randomized matching mechanisms (*)," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 8(2), pages 377-381.
    • Handle: RePEc:spr:joecth:v:8:y:1996:i:2:p:377-381
    Note: Received: January 31, 1995; revised version June 19, 1995
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    Cited by:

    1. Onur Kesten, 2012. "On two kinds of manipulation for school choice problems," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 51(3), pages 677-693, November.
    2. 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.
    3. 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.
    4. Klaus, Bettina & Klijn, Flip, 2007. "Paths to stability for matching markets with couples," Games and Economic Behavior, Elsevier, vol. 58(1), pages 154-171, January.
    5. Diamantoudi, Effrosyni & Miyagawa, Eiichi & Xue, Licun, 2004. "Random paths to stability in the roommate problem," Games and Economic Behavior, Elsevier, vol. 48(1), pages 18-28, July.
    6. 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.
    7. 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.
    8. Emiliya Lazarova & Dinko Dimitrov, 2017. "Paths to stability in two-sided matching under uncertainty," International Journal of Game Theory, Springer;Game Theory Society, vol. 46(1), pages 29-49, March.
    9. 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.
    10. Onur Kesten & Ayşe Yazıcı, 2012. "The Pareto-dominant strategy-proof and fair rule for problems with indivisible goods," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 50(2), pages 463-488, June.
    11. 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.
    12. Péter Biró & Gethin Norman, 2013. "Analysis of stochastic matching markets," International Journal of Game Theory, Springer;Game Theory Society, vol. 42(4), pages 1021-1040, November.
    13. 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.
    14. Roh, Heui-Seol, 2015. "Thermodynamic chemical energy transfer mechanisms of non-equilibrium, quasi-equilibrium, and equilibrium chemical reactions," Energy, Elsevier, vol. 89(C), pages 1029-1049.
    15. Satoru Fujishige & Zaifu Yang, 2017. "On a spontaneous decentralized market process," The Journal of Mechanism and Institution Design, Society for the Promotion of Mechanism and Institution Design, University of York, vol. 2(1), pages 1-37, December.
    16. Antonio Romero-Medina, 2001. "`Sex-Equal' Stable Matchings," Theory and Decision, Springer, vol. 50(3), pages 197-212, May.
    17. Sebastian Montano Correa, 2015. "Compulsory Social Service Matching Market for Physicians in Colombia," Documentos CEDE 12856, Universidad de los Andes, Facultad de Economía, CEDE.
    18. Chen, Yi-Chun & Hu, Gaoji, 2020. "Learning by matching," Theoretical Economics, Econometric Society, vol. 15(1), January.
    19. repec:cte:werepe:6075 is not listed on IDEAS
    20. Bettina Klaus & David F. Manlove & Francesca Rossi, 2014. "Matching under Preferences," Cahiers de Recherches Economiques du Département d'économie 14.07, Université de Lausanne, Faculté des HEC, Département d’économie.
    21. Simon Mauras, 2020. "Two-Sided Random Matching Markets: Ex-Ante Equivalence of the Deferred Acceptance Procedures," Papers 2005.08584, arXiv.org.
    22. Beatriz Millán & Eliana Pepa Risma, 2018. "Random path to stability in a decentralized market with contracts," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 51(1), pages 79-103, June.
    23. Piotr Dworczak, 2021. "Deferred Acceptance with Compensation Chains," Operations Research, INFORMS, vol. 69(2), pages 456-468, March.
    24. Vinay Ramani & K. S. Mallikarjuna Rao, 2018. "Paths to stability and uniqueness in two-sided matching markets," International Journal of Game Theory, Springer;Game Theory Society, vol. 47(4), pages 1137-1150, November.

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