Authors: Daisuke Hirata, Yusuke Kasuya, Kentaro Tomoeda
Date of publication: July 2022
Working paper number: 01
Abstract:
We propose a new solution concept in the roommate problem, weak stability against robust deviations (wSaRD), by weakening a similar concept of Hirata et al. (2021). We identify a common sufficient condition for wSaRD and weak stability of Klijn and Massó (2003). We can always construct a weakly efficient matching satisfying this condition. Consequently, we can always find a wSaRD matching within the bargaining set. This is in contrast with the original, stronger concept of Hirata et al. (2021), which does not always intersect with the bargaining set.
Keywords: Matching, Roommate problem, Stability, Bargaining set