Weak Stability against Robust Deviations and the Bargaining Set in the Roommate Problem

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

Year of publication:	2022
Authors:	Hirata, Daisuke ; Kasuya, Yusuke ; Tomoeda, Kentaro
Publisher:	[S.l.] : SSRN
Subject:	Theorie \| Theory \| Matching

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