Lancasterian models of product differentiation typically assume a one-
dimensional characteristics space. We show that standard results on pr
ices and locations no longer hold when firms compete in a multi-charac
teristics space. In the location game with n characteristics, firms ch
oose to maximize differentiation in the dominant characteristic and to
minimize differentiation in the others when Ihc salience coefficient
of the former is sufficiently large, Thus, the principle of minimum di
fferentiation holds for all but one characteristic. Furthermore, price
s do not necessarily fall when products get closer in the characterist
ics space because price competition is relaxed when products are diffe
rentiated enough in the dominant characteristic. (C) 1998 Academic Pre
ss.