On the strong $$\beta$$-hybrid solution of an N-person game

We propose a new notion of coalitional equilibria, the strong $$\beta$$ -hybrid solution, which is refinement hybrid solution introduced by Zhao. Zhao’s well suited to study situations where people cooperate within coalitions but compete with one another. This paper’s as opposed assigns each coalition strategy profile that strongly Pareto optimal. Moreover, like -core, deviations subcoalitions any existing are deterred threat unique counter-strategy available non-deviating players. Zhao proved existence for transferable utility games compact and convex spaces concave continuous payoff functions. Here, we extend his result non-transferable games.