A social coalitional weak equilibrium existence theorem with a continuum of agents and applications

In this paper, we establish a social coalitional weak equilibrium existence theorem with a continuum of agents, which is an infinite-player extension of the fully cooperative version of Ichiishi (1981). As a unified approach, we obtain the weak alpha-core existence theorems of normal-form games and exchange economies with a continuum of agents by the social coalitional weak equilibrium existence theorem.