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`Sex-Equal' Stable Matchings


  • Antonio Romero-Medina



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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Suggested Citation

  • 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

    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. 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.
    3. 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.
    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. 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.
    3. Boudreau, James W. & Knoblauch, Vicki, 2014. "What price stability? Social welfare in matching markets," Mathematical Social Sciences, Elsevier, vol. 67(C), pages 27-33.
    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.

    More about this item


    Matching Markets; Fair Distribution; No-envy;


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