-balanced games. Subiza et al. (2025) relaxes the stability concept of the core and proposes δ-stable set, a non-empty solution for … superadditive games. In this paper, we de ne two distinct extensions of the core, namely cohesive δ-stable set and Δ-stable set …, without relying on TU-game extensions and the presumption that the grand coalition must form. In parallel with the δ-stable …