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`Sex-Equal' Stable Matchings

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  • Antonio Romero-Medina

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.
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  • Antonio Romero-Medina, 2001. "`Sex-Equal' Stable Matchings," Theory and Decision, Springer, vol. 50(3), pages 197-212, May.
    • Handle: RePEc:kap:theord:v:50:y:2001:i:3:p:197-212
    DOI: 10.1023/A:1010311325241
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    References listed on IDEAS

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    1. 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.
    2. Roth, Alvin E. & Sotomayor, Marilda, 1992. "Two-sided matching," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 1, chapter 16, pages 485-541, Elsevier.
    3. Ma, Jinpeng, 1996. "On Randomized Matching Mechanisms," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 8(2), pages 377-381, August.
    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.
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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 1 & University of Caen) 201202, Center for Research in Economics and Management (CREM), University of Rennes 1, 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. Kuvalekar, Aditya Vijay & Romero-Medina, Antonio, 2021. "A fair procedure in a marriage market," UC3M Working papers. Economics 31711, Universidad Carlos III de Madrid. Departamento de Economía.
    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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