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Clustering and Dispersion of Duopolists in a Linear Market
Authors:Timothy C Pitts  John P Boardman
Abstract: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 inelastic and the market area is bounded. It has also been stated that clustering is less strong as demand becomes more elastic, but questions of when this dispersion occurs and what affects it remain to be addressed. This paper further explores clustering in spatial duopoly as elastic demand is allowed. Results indicate that the clustering behavior of sellers is related to the price of the product they sell, the cost to the consumer of acquiring the product, and the elasticity of demand. Locations of sellers in a linear market will lie between the median location and the quartiles as these parameters vary.
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