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"Sex-equal" Stable matching

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  • Romero-Medina, Antonio

Abstract

This paper presents a solution concept that minimizes envy between groups 111 a bilateral matching market. This concept is designed to select stable matchings that are not men or women optimal. The idea is to compute the total number of women preferred by the men to their woman mates and the total number of men preferred by women to their mates in that matching. The absolute value of the distance between these two numbers generates the stable matchings with less envy between groups. An algorithm is provided to compute them.

Suggested Citation

  • Romero-Medina, Antonio, 1998. ""Sex-equal" Stable matching," UC3M Working papers. Economics 6075, Universidad Carlos III de Madrid. Departamento de Economía.
    • Handle: RePEc:cte:werepe:6075
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    References listed on IDEAS

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    1. Roth,Alvin E. & Sotomayor,Marilda A. Oliveira, 1992. "Two-Sided Matching," Cambridge Books, Cambridge University Press, number 9780521437882, November.
    2. Roth, Alvin E. & Sotomayor, Marilda, 1988. "Interior points in the core of two-sided matching markets," Journal of Economic Theory, Elsevier, vol. 45(1), pages 85-101, June.
    3. Jinpeng Ma, 1996. "On randomized matching mechanisms (*)," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 8(2), pages 377-381.
    4. Roth, Alvin E & Vande Vate, John H, 1990. "Random Paths to Stability in Two-Sided Matching," Econometrica, Econometric Society, vol. 58(6), pages 1475-1480, November.
    5. Masarani, F. & Gokturk, S. S., 1991. "A problem in discrete distributive justice," Economics Letters, Elsevier, vol. 36(3), pages 253-256, July.
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    Cited by:

    1. Ozkal-Sanver, Ipek, 2004. "A note on gender fairness in matching problems," Mathematical Social Sciences, Elsevier, vol. 47(2), pages 211-217, March.
    2. Feng Zhang & Liwei Zhong, 2021. "Three-sided matching problem with mixed preferences," Journal of Combinatorial Optimization, Springer, vol. 42(4), pages 928-936, November.
    3. Litsa Alexandra & Maguet Jean-François, 2012. "College Choice Mechanism: The Respect of the Vagueness of Choices," Economics Working Paper Archive (University of Rennes & University of Caen) 201202, Center for Research in Economics and Management (CREM), University of Rennes, University of Caen and CNRS.
    4. James Boudreau & Vicki Knoblauch, 2013. "Preferences and the price of stability in matching markets," Theory and Decision, Springer, vol. 74(4), pages 565-589, April.
    5. 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.
    6. Dan Shrimpton & Alexandra M. Newman, 2005. "The US Army Uses a Network Optimization Model to Designate Career Fields for Officers," Interfaces, INFORMS, vol. 35(3), pages 230-237, June.
    7. Feng Zhang & Liwei Zhong, 0. "Three-sided matching problem with mixed preferences," Journal of Combinatorial Optimization, Springer, vol. 0, pages 1-9.
    8. Boudreau, James W. & Knoblauch, Vicki, 2014. "What price stability? Social welfare in matching markets," Mathematical Social Sciences, Elsevier, vol. 67(C), pages 27-33.

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