In this note we show that the results developed in N. Singh and X. Vives (1
984, Rand J. Econ, 15, 546-554) are sensitive to the duopoly assumption. If
there are more than two firms, prices may be higher under price competitio
n than under quantity competition. This will be the case if quality differe
nces are large and goods are complements. If goods are substitutes, high-qu
ality firms may earn higher profits under price competition than under quan
tity competition. Hence, it is not evident which kind of competition is mor
e efficient. (C) 2000 Academic Press.