In the original Hotelling model, with sellers arrayed along a line in geographic or product space, rivalry is localized in the sense that each brand faces only a small number of direct competitors, no matter how many sellers are present in the market as a whole. This sort of localization can convert an apparently large-numbers situation into one of overlapping oligopolies, so that overall market concentration may be a seriously misleading indicator of the likelihood of non - competitive behavior. In symmetric models, on the other hand, each firm affects and is affected by all others in a symmetric fashion.

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