Market Partitioning and the Geometry of the Resource Space

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Abstract
This article gives a new explanation for generalist and specialist or- ganizations' coexistence in crowded markets. It addresses organiza- tional ecology's resource-partitioning theory, which explains market histories with scale economies and crowding, and it shows that some main predictions of this theory can be restated in terms of structural properties of the N-dimensional Euclidean space. As resource-space dimensionality increases, the changing niche configurations open op- portunities for specialists. The proposed approach draws upon the sphere-packing problem in geometry. The model also explains new observations, and its findings apply to a range of crowding and net- work models in sociology.