Abstract:
On an infinitely-extensible plane, the socially-optimal configuration of firms is a regular hexagonal lattice. Will the free market necessarily produce this configuration? We argue the currently-accepted answer, yes, was erroneously derived from models where equilibrium conditions are asserted rather than being derived. We answer the above question, no, showing that in the standard location model: a) many configurations satisfy the equilibrium conditions; and b) if a hexagonal configuration is initially imposed, it is less likely to persist through successive rounds of entry than is a square or rectangular configuration.
Date: 1972
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