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Equilibrium of Bayesian fuzzy economies and quasi-variational inequalities with random fuzzy mappings. (English) Zbl 1285.91081
In the first part of the paper a model for the Bayesian abstract fuzzy economy is presented which generalizes the model given by the author in [Optimization 60, No. 4–6, 451–461 (2011; Zbl 1237.91155)]. Then, using a selection theorem and the Fan-Glicksberg’s fixed point theorem, the author proves the existence of Bayesian fuzzy equilibrium. As applications, new random quasi-variational inequalities with random fuzzy mappings and random fixed point theorems are established.

MSC:
91B52 Special types of economic equilibria
58E35 Variational inequalities (global problems) in infinite-dimensional spaces
47H10 Fixed-point theorems
91A44 Games involving topology, set theory, or logic
91B50 General equilibrium theory
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[1] doi:10.5402/2012/731058 · Zbl 1279.47081 · doi:10.5402/2012/731058
[2] doi:10.1155/2010/728452 · Zbl 1210.47102 · doi:10.1155/2010/728452
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