The locations that two sellers will choose in a linear market has long
been of interest. It is well accepted that firms will tend to cluster
in the center of the market as long as demand for the product is inel
astic and the market area is bounded. It has also been. stated that cl
ustering is less strong as demand becomes more elastic, but questions
of when this dispersion occurs and what affects it remain to be addres
sed. This paper further explores clustering in spatial duopoly as elas
tic demand is allowed. Results indicate that the clustering behavior o
f sellers is rebated to the price of the product they sell, the cost t
o the consumer of acquiring the product, and the elasticity of demand.
Locations of sellers in a linear market will lie between the median l
ocation and the quartiles as these parameters vary.