TITLE:
Restabilization Process in Matching Markets with Workers Proposing
AUTHORS:
Millán Beatriz
KEYWORDS:
Stable Matchings, Restabilization, Lattice
JOURNAL NAME:
Open Journal of Discrete Mathematics,
Vol.12 No.4,
October
8,
2022
ABSTRACT: This paper is focused on the analysis, in the framework
of lattice theory, of the matchings obtained from restabilization (after disruption) of stable matchings. When the disruption is due to entry workers or
closure of firms the unemployed workers make offers to firms. The stable
matching obtained is the firms-worst stable matching of the set of stable matchings
that the firms weakly prefer to the initial stable matching (i.e., before being disrupted by changes
in the population). More precisely, their position within the lattice of stable
matchings is shown.