The block metric and the law of markets

The “Law of Markets” as originally stated by Fetter and amended by Hyson and Hyson is based on the assumption that the transportation of goods is along a line segment from firm to customer. In many situations the assumption that transportation is along a block-like network of roads is a better approximation of reality. In this paper we establish the “law of markets” appropriate to the block metric. We discover that with such a metric there exist significant discontinuities in a firm's demand functions and we argue that these discontinuities have important implications for the types of competitive strategies open to firms.