A NOTE ON THE STABILITY PROPERTY OF SPATIAL COMPETITION*

ABSTRACT. Our study extends the standard comparative static analysis to allow for dynamic aspects of equilibrium in spatial competiton. We investigate dynamic stability properties via the Routh-Hurwitz criterion. Nontrivial equilibria in the so-called Löschian, Hotelling-Smithies, and Greenhut-Ohta models are shown to be stable even under heterogeneous cost conditions among competing firms, conditions not considered hitherto. We can thus provide powerful support to the comparative static analyses which can only be developed via equilibrium concepts with stability properties.     

A NOTE ON NEIGHBORHOOD SIZE AND THE MEASUREMENT OF SEGREGATION INDICES*

This note examines neighborhood segregation measures with respect to size and validity. Conventional measures, while related to within-neighborhood homogeneity, are not necessarily related to neighborhood size. An empirical test examines racial segregation for Baltimore in 1970 and 1980 using both census tract and specially formulated neighborhood aggregates. For both years, and for all measures of segregation, the values and trends are essentially unchanged by the level of aggregation.     

AN ECONOMIC INTERPRETATION OF KUHN'S DUAL FOR THE STEINER-WEBER PROBLEM A NOTE*

In this paper, we given an economic interpretation of Kuhn's dual of the Steiner-Weber problem. It depends essentially on the notion that different transportation systems arerelevant for the primal and the dual. Moreover, the Euclidean metric underlies the interpretation of the primal, the block one that of the dual.