Weak stability against robust deviations and the bargaining set in the roommate problem

Daisuke Hirata, Yusuke Kasuya and Kentaro Tomoeda

Journal of Mathematical Economics, 2023, vol. 105, issue C

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: Bargaining set; Matching; Robust deviations; Roommate problem; Stability (search for similar items in EconPapers)
Date: 2023
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:mateco:v:105:y:2023:i:c:s0304406823000113

DOI: 10.1016/j.jmateco.2023.102818

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