Last modified: 2016-02-12
We assume that non-satiation axioms are general economic axioms which are associated with the genetic essence of life existing in any part of the Universe. Maximizing utility under given initial and boundary conditions is the foremost interest of every individual. Genetically coded into this maximizing of utility is the survival instinct of both the given individual and the species as a whole. The noosphere continually manifests through the geosphere and biosphere in the form of human interventions in these, and is visibly represented by the physical and economic development of the Earth. One of the many phenomena which may be used to characterize the United States in the late nineteenth and early twentieth centuries is the rapid change which occurred in retail trade relations in various parts of the country. The common feature of these changes was the flow of retail business from small towns to large cities. However, no general analytical laws were known to describe the rise and distribution of this flow of retail business in space and time. From 1927-1930 W. J. Reilly conducted a nationwide study of retail dynamics. One of the findings of this study was the scalar law of retail gravitation. This law of Reilly considered the unidirectional flow of retail trade from small towns to cities. The reverse flow of retail trade from large cities to small towns was not considered because at the time it was far less significant compared to the flow of retail trade from small towns to large cities. Reilly’s scalar one-dimensional model of retail gravitation is generalized in the three-dimensional vector model of retail gravitation for the geoid. The scalar potential of retail gravitation is introduced along with the vector of an intensity of retail gravitation.