Generalization of the social coalitional equilibrium structure

We generalize the notion of Ichiishi (Econometrica 49(2):369–377, 1981)’s social coalitional equilibrium to a multi-layered coalition structure with parameters, in which agents can incorporate simultaneously multiple structures independent coalition-deviation opportunities. For each opportunity, play (SCE) game, called sub-parametric SCE constrained by external environment (parameters and joint decisions all other games). The generalized (GSCE) concept is, therefore, considered be synthesis Nash cooperative solution concept. provide definition GSCE give proof existence theorem. Through some applications general models, provides conceptual framework for describing coexisting different industries having investment opportunities their determined industrial organizations.