  We discuss the classical and quantum stability of general configurations
representing many fuzzy spheres in dimensionally reduced
Yang-Mills-Chern-Simons models with and without supersymmetry. By performing
one-loop perturbative calculations around such configurations, we find that
intersecting fuzzy spheres are classically unstable in the class of models
studied in this paper. We also discuss the large-N limit of the one-loop
effective action as a function of the distance of fuzzy spheres. This shows, in
particular, that concentric fuzzy spheres with different radii, which are
identified with the 't Hooft-Polyakov monopoles, are perturbatively stable in
the bosonic model and in the D=10 supersymmetric model.
