Weak Stability against Robust Deviations and the Bargaining Set in the Roommate Problem
17 Pages Posted: 1 Aug 2022 Last revised: 28 Nov 2022
Date Written: November 10, 2022
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.
Suggested Citation: Suggested Citation
Hirata, Daisuke and Kasuya, Yusuke and Tomoeda, Kentaro, Weak Stability against Robust Deviations and the Bargaining Set in the Roommate Problem (November 10, 2022). Available at SSRN: https://ssrn.com/abstract=4159015 or http://dx.doi.org/10.2139/ssrn.4159015
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