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Fuzzy games with a countable space of actions and applications to systems of generalized quasi-variational inequalities. (English) Zbl 1345.54066
Summary: We introduce an abstract fuzzy economy (generalized fuzzy game) model with a countable space of actions, and we study the existence of fuzzy equilibrium. As application, we prove the existence of solutions for the systems of generalized quasi-variational inequalities with random fuzzy mappings, defined in this paper. Our results bring novelty to the current literature by considering random fuzzy mappings whose values are fuzzy sets over complete countable metric spaces.

##### MSC:
 54H25 Fixed-point and coincidence theorems (topological aspects) 91B50 General equilibrium theory 49J40 Variational inequalities 54A40 Fuzzy topology 54E50 Complete metric spaces
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