Abstract
The proportion of a firm's market-area that is within a given, small, proportional difference in delivered-price between itself and its principal competitor, is an important measure of spatial competition. It is shown that for regular triangular and irregular spatial patterns of firms, areas of intense spatial competition are larger when transport costs are proportional to euclidean distances rather than to block distances, but this is not true for a regular square pattern. In an irregular pattern of firms, for each metric, the proportion of a firm's market-area in the area of intense spatial competition varies markedly from firm to firm. The locational and pricing behavior of firms is expected to be influenced by the size and locations of these areas of spatial competition.
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