Bayesian abstract fuzzy economies, random quasi-variational inequalities with random fuzzy mappings and random fixed point theorems

摘要

The main purpose of this paper is to introduce an abstract fuzzy economy model with differential asymmetric information and a measure space of agents. It generalizes a previous model proposed by the author in 2009. The applications concern the fuzzy equilibrium existence and the existence of the solutions for two types of random quasi-variational inequalities. Furthermore, the paper presents random fixed point theorems with random fuzzy mappings, extensions of the ones with random data. Our results either generalize or improve corresponding ones present in literature. They consider the Bochner integrability setting, a measure space of indices and use random fuzzy mappings, which describe the uncertainties.