Equilibrium existence for Bayesian generalized games in choice form and applications

In this paper, we define the Bayesian generalized game in choice form and its Bayesian equilibrium in choice. Our model generalizes the Bayesian abstract economy, introduced by the author, and the deterministic model, recently defined by Ferrara and Stefanescu. We apply the equilibrium results to prove the existence of solutions for the random quasi-variational inequalities.