The equilibria of a model of an exchange economy with price rigidities
are called constrained equilibria. A simplicial algorithm on the unit
cube is proposed to compute an approximation of a continuum of zero p
oints of the excess demand correspondence of such an economy. This con
tinuum of zero points corresponds to a continuum of constrained equili
bria of the economy, linking the two so-called trivial equilibria. Mor
eover, the convergence properties of the algorithm and the accuracy of
the approximate constrained equilibria obtained by the algorithm are
discussed. Finally, an example is given as an illustration.