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Procedurally fair and stable matching

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  • Bettina Klaus

    ()

  • Flip Klijn

    ()

Abstract

We motivate procedural fairness for matching mechanisms and study two procedurally fair and stable mechanisms: employment by lotto (Aldershof et al. , 1999) and the random order mechanism (Roth and Vande Vate, 1990, 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. Finally, we consider an adjustment of the random order mechanism, the equitable random order mechanism, that combines aspects of procedural and “endstate” fairness. Copyright Springer-Verlag Berlin/Heidelberg 2006

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File URL: http://hdl.handle.net/10.1007/s00199-004-0602-5
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Bibliographic Info

Article provided by Springer in its journal Economic Theory.

Volume (Year): 27 (2006)
Issue (Month): 2 (January)
Pages: 431-447

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Handle: RePEc:spr:joecth:v:27:y:2006:i:2:p:431-447

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Web page: http://link.springer.de/link/service/journals/00199/index.htm

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Web: http://link.springer.de/orders.htm

Related research

Keywords: Procedural fairness; Random mechanism; Stability; Two-sided matching.;

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References

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  1. Herve Moulin, 2004. "Fair Division and Collective Welfare," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262633116.
  2. Ma, Jinpeng, 1996. "On Randomized Matching Mechanisms," Economic Theory, Springer, vol. 8(2), pages 377-81, August.
  3. Romero-Medina, Antonio, 2005. "Equitable Selection in Bilateral Matching Markets," Open Access publications from Universidad Carlos III de Madrid info:hdl:10016/5607, Universidad Carlos III de Madrid.
  4. Roth, Alvin E & Vande Vate, John H, 1990. "Random Paths to Stability in Two-Sided Matching," Econometrica, Econometric Society, vol. 58(6), pages 1475-80, November.
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Citations

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Cited by:
  1. Bettina Klaus & Flip Klijn, 2006. "Employment by Lotto Revisited," Working Papers 263, Barcelona Graduate School of Economics.
  2. Karla Atkins & Achla Marathe & Chris Barrett, 2006. "A Computational Approach to Modeling Commodity Markets," Computing in Economics and Finance 2006 240, Society for Computational Economics.
  3. 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.
  4. Elette Boyle & Federico Echenique, 2009. "Sequential entry in many-to-one matching markets," Social Choice and Welfare, Springer, vol. 33(1), pages 87-99, June.
  5. Klaus, Bettina & Klijn, Flip, 2007. "Corrigendum to “On randomized matching mechanisms" [Economic Theory 8(1996)377–381]," Open Access publications from Maastricht University urn:nbn:nl:ui:27-20027, Maastricht University.

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