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`Sex-Equal' Stable Matchings

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Abstract

The paper defines a measure on the set of stable matchings in the marriage problem. This measure is based on the minimization of the envy difference between the sets of men and women, while preserving stability and selects stable matchings with the least conflict of interest between both groups of agents. The solution concept proposed is called Sex-equal Matching (SEM) and the paper also provides an algorithm to compute the set of SEM.

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REFERENCES

  • Gale, D. and Shapley, Ll. (1962), College admissions and the stability of marriage, American Mathematical Monthly 69: 9-15.

    Google Scholar 

  • Grätzer, G. (1978), General lattice theory. Academic Press, New York.

    Google Scholar 

  • Gusfield, D. and Irving, R.W. (1989), The stable marriage problem, structure and algorithms. The M.I.T. Press, Cambridge, Massachusetts.

    Google Scholar 

  • Knuth, D.E. (1976), Marriage stables. Les Presses de l'Université de Montréal, Montreal.

    Google Scholar 

  • Ma, J. (1996), On randomized matching mechanisms, Economic Theory 8(2): 377-381.

    Google Scholar 

  • Masarani, F. and Gokturk, S.S. (1989), On the existence of fair matching algorithms, Theory and Decision 26: 305-322.

    Google Scholar 

  • Masarani, F. and Gokturk, S.S. (1991), A problem in discrete distributive justice, Economics Letters 36: 253-256.

    Google Scholar 

  • Roth, A.E. and Sotomayor, M. (1990), Two-sided matching markets: a study in game theoretic modeling and analysis, [Econometric Society Monograph]. Cambridge University Press, Cambridge,Massachusetts.

    Google Scholar 

  • Roth, A., and Vande Vate, J.H. (1990), Random paths to stability in two-sided matching, Econometrica 58: 1475-1480.

    Google Scholar 

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Correspondence to Antonio Romero-Medina.

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Romero-Medina, A. `Sex-Equal' Stable Matchings. Theory and Decision 50, 197–212 (2001). https://doi.org/10.1023/A:1010311325241

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  • DOI: https://doi.org/10.1023/A:1010311325241

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