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

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  • Hirata, Daisuke
  • Kasuya, Yusuke
  • Tomoeda, Kentaro

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

  • Hirata, Daisuke & Kasuya, Yusuke & Tomoeda, Kentaro, 2023. "Weak stability against robust deviations and the bargaining set in the roommate problem," Journal of Mathematical Economics, Elsevier, vol. 105(C).
    • Handle: RePEc:eee:mateco:v:105:y:2023:i:c:s0304406823000113
    DOI: 10.1016/j.jmateco.2023.102818
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    References listed on IDEAS

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    1. Atay, Ata & Mauleon, Ana & Vannetelbosch, Vincent, 2021. "A bargaining set for roommate problems," Journal of Mathematical Economics, Elsevier, vol. 94(C).
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