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

TL;DR

This paper develops a generalized fuzzy economy model with measure space of agents, proving existence theorems for fuzzy equilibria, solutions to random quasi-variational inequalities, and random fixed points, extending prior models.

Contribution

It introduces a new abstract fuzzy economy model with measure space of agents and establishes existence theorems for equilibria and solutions to inequalities, extending previous work.

Findings

Existence of fuzzy equilibrium in the new model

Solutions to two types of random quasi-variational inequalities

New random fixed point theorems

Abstract

In this paper, we introduce an abstract fuzzy economy model with a measure space of agents which generalizes Patriche's model (2009), we obtain a theorem of fuzzy equilibrium existence and we prove the existence of the solutions for two types of random quasi-variational inequalities with random fuzzy mappings. As a consequence, we obtain random fixed point theorems.