Trabajo publicado como artículo en Economic Theory 27(2): 431-447 (2006).-- http://dx.doi.org/10.1007/s00199-004-0602-5
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. 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.
B. Klaus’s and
F. Klijn’s research has been supported by Ramón y Cajal contracts of the Spanish Ministerio de Ciencia
y Tecnología. The work of the authors has also been partially supported by Research Grant BEC2002-
02130 from the Spanish Ministerio de Ciencia y Tecnología and by the Barcelona Economics Program
of CREA. This paper is part of the Polarization and Conflict Project CIT-2-CT-2004-506084 funded
by the European Commission-DG Research Sixth Framework Programme.