This paper presents a general model of a competitive market with consumption externalities, and establishes the existence of equilibrium in the model, under assumptions comparable to those in classical models. The model allows production and indivisible goods. Examples illustrate the generality...

Carmona considered an increasing sequence of finite games in each of which players are characterized by payoff functions that are restricted to vary within a uniformly equicontinuous set and choose their strategies from a common compact metric strategy set. Then Carmona proved that each finite...

Recently, Askoura et al. (2013) proved the nonemptiness of the α-core of a finite Bayesian game GR with Young measure strategies and nonatomic type spaces, without requiring that the expected payoffs be concave. Under the same hypotheses as theirs, we demonstrate that Scarf’s method (1971)...

Podczeck [Podczeck, K., 1997. Markets with infinitely many commodities and a continuum of agents with non-convex preferences. Economic Theory 9, 385-426] provided a mathematical formulation of the notion of "many economic agents of almost every type" and utilized this formulation as a sufficient...