  The motivation of this note is to show how singular values affect local
uniqueness. More precisely, Theorem 3.1 shows how to construct a neighborhood
(a ball) of a regular equilibrium whose diameter represents an estimate of
local uniqueness, hence providing a measure of how isolated a (local) unique
equilibrium can be. The result, whose relevance in terms of comparative statics
is evident, is based on reasonable and natural assumptions and hence is
applicable in many different settings, ranging from pure exchange economies to
non-cooperative games.
