Klaus, Bettina; Klijn, Flip; Walzl, Markus - Barcelona Graduate School of Economics (Barcelona GSE) - 2008
We show that for any roommate market the set of stochastically stable matchings coincides with the set of absorbing matchings. This implies that whenever the core is non-empty (e.g., for marriage markets), a matching is in the core if and only if it is stochastically stable, i.e., stochastic...