AN ALGORITHM FOR THE SPATIAL PRICE EQUILIBRIUM PROBLEM ON A GENERAL NETWORK IN THE SPACE OF THE PATH FLOWS*

ABSTRACT. The spatial price equilibrium on a general network may be formulated as a nonlinear-cost mathematical programming problem with simple constraints, when the decision variables are the path flows. The solution of this problem is difficult due to the very large number of variables (paths) and the impracticality of generating all the paths from all the origins to all the destinations. In this paper, we develop a Gauss-Seidel-Newton Projection algorithm and combine it with a restriction strategy. That makes it unnecessary to generate a priori all the paths. This algorithm may be further improved by exploiting the equivalence between the spatial price equilibrium on a general network and the network equilibrium. Computational results that we present in this paper demonstrate the efficiency of the proposed solution algorithms.     

A NEOCLASSICAL MODEL OF HOUSING QUALITY GROWTH AN INTERPRETATION*

The paper interprets a neoclassical model of quality growth in relation to housing technology, reinvestment choice, growth of the stock of shelter, growth with and without architectural design progress, and analyses of the golden rule of quality accumulation in the housing sector.     

A NEOCLASSICAL ANATOMY OF THE ECONOMIC BASE MULTIPLIER*

ABSTRACT Keynesian export base theory ignores the supply side of the economy, while trade models may overemphasize resource constraints. A general equilibrium model which stakes out a position between those extremes is developed and used to define rigorously the components of an economic base (EB) multiplier. Capital moves freely in and out of the regional economy, but the factor land is fixed. Interregional labor movements are caused by wage differentials. Factor and relative commodity prices are determined endogenously. Demand and supply sides of a small regional economy are included. The relationship between average and marginal EB multipliers, and between key parameters (regional size, several elasticities, etc.) and the marginal multiplier are discussed. The Keynesian constant EB multiplier can be derived from a special case of the model.