Measures of economies with an arbitrarily large number of equilibria

Balasko (1978) shows that in a compact subset of the space of economies, not too many economies can have too many equilibria. We extend Balaskos result to the whole set of economies for a suitable measure. We show that the measure of economies with a large number of equilibria approaches zero as this number tends to infinity. An analogous result in the infinite-dimensional setting is also established.