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Procedurally Fair and Stable Matching

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  • Bettina Klaus
  • Flip Klijn

Abstract

We study procedurally fair matching mechanisms that produce stable matchings for the so-called marriage model of one-to-one, two-sided matching. Our main focus is on two such mechanisms: employment by lotto introduced by Aldershof et al. (1999) and the random order mechanism due to Roth and Vande Vate (1990) and Ma (1996). For both mechanisms we give various examples of probability distributions on the set of stable matchings and discuss properties that differentiate employment by lotto and the random order mechanism. Furthermore, we correct some misconceptions by Aldershof et al. (1999) and Ma (1996) that exist on the probability distribution induced by both mechanisms. Finally, we consider an adjustment of the random order mechanism, the equitable random order mechanism.

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Bibliographic Info

Paper provided by Barcelona Graduate School of Economics in its series Working Papers with number 36.

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Date of creation: Nov 2003
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Handle: RePEc:bge:wpaper:36

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Keywords: procedural fairness; random mechanism; stability; two-sided matching;

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References

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  1. Roth, Alvin E & Vande Vate, John H, 1990. "Random Paths to Stability in Two-Sided Matching," Econometrica, Econometric Society, vol. 58(6), pages 1475-80, November.
  2. Ma, Jinpeng, 1996. "On Randomized Matching Mechanisms," Economic Theory, Springer, vol. 8(2), pages 377-81, August.
  3. Herve Moulin, 2004. "Fair Division and Collective Welfare," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262633116, December.
  4. Antonio Romero-Medina, 2005. "Equitable Selection in Bilateral Matching Markets," Theory and Decision, Springer, vol. 58(3), pages 305-324, 05.
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Citations

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Cited by:
  1. Thayer Morrill, 2013. "An alternative characterization of top trading cycles," Economic Theory, Springer, vol. 54(1), pages 181-197, September.
  2. Bettina Klaus & Flip Klijn, 2004. "Employment by Lotto Revisited," UFAE and IAE Working Papers 627.04, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC), revised 17 Jan 2006.
  3. Bettina Klaus & Flip Klijn, 2004. "Corrigendum to ''On Randomized Matching Mechanisms'' [Economic Theory 8(1996)377-381]," UFAE and IAE Working Papers 628.04, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC), revised 31 Jan 2006.
  4. Boyle, Elette & Echenique, Federico, 2007. "Sequential entry in many-to-one matching markets," Working Papers 1269, California Institute of Technology, Division of the Humanities and Social Sciences.
  5. Bettina Klaus & Flip Klijn, 2004. "Median Stable Matching for College Admission," UFAE and IAE Working Papers 632.04, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC), revised 16 Feb 2006.
  6. Karla Atkins & Achla Marathe & Chris Barrett, 2007. "A computational approach to modeling commodity markets," Computational Economics, Society for Computational Economics, vol. 30(2), pages 125-142, September.
  7. Aziz, Haris & Brandt, Felix & Brill, Markus, 2013. "The computational complexity of random serial dictatorship," Economics Letters, Elsevier, vol. 121(3), pages 341-345.

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