GENERAL EQUILIBRIUM OF SPATIAL PRODUCT AND LABOR MARKETS*

ABSTRACT A simple general equilibrium model relates spatial product markets and spatial labor markets. The firm is treated as being a spatial monopolist or as a Löschian competitor in the output market and as a spatial monopsonist in the labor market. Derived free spatial demand and free regional labor supply are defined, and their properties examined. The model provides the framework for analyzing the impact of a technological improvement in labor productivity on the structure of the spatial markets. The impact of entry on spatial labor supply is an important determinant of whether or not entry lowers wages and raises output prices. Unlike the spaceless competitive paradigm, zero-profit long-run equilibrium can occur in a space economy under conditions of increasing returns to scale.     

THE SPATIAL STRUCTURE OF HIERARCHICAL INTER-URBAN SYSTEMS: EQUILIBRIUM AND OPTIMUM*

In this paper, I model a simple hierarchical inter-urban system in which the location of business firms is considered together with the determination of residential land-use patterns. By supposing a spatial externality between the business firms and all the residents of the region, three spatial structures are obtained: monocentricity, multicentricity, and a separate pattern where cities are spatially split with an agricultural land existing between them. It is also shown that the spatial structures of monocentric and multicentric patterns formed by the market principle tend to be more concentrated than the optimum.     

THE CORE OF A SPATIAL PRICE EQUILIBRIUM GAME*

ABSTRACT This paper presents a critical appraisal of the use of the core as a solution concept for games involving spatially separated producers. Starting from the classical Samuelson/Takayama-Judge spatial price equilibrium model, the core of a game between the producers of commodities in this economy is defined, the conditions ensuring the nonemptiness of the core are stated, and the problems surrounding the definition and computation of the characteristic function are addressed. An application to the eastern United States’coal market is then presented in order to illustrate the usefulness of the theoretical and algorithmic results of this paper.     

DISGUISED,URBAN UNEMPLOYMENT AND WELFARE IN A GENERAL EQUILIBRIUM MODEL WITH SEGMENTED LABOR MARKETS*

ABSTRACT This paper integrates the theory of segmented labor markets with the Ranis-Fei model of dualism to analyze two types of unemployment; disguised unemployment in the rural sector and urban unemployment. The major results obtained are (1) sector-specific accumulation in the urban area may raise unemployment and lower welfare and (2) sector-specific accumulation in the rural sector always raises welfare but increases disguised unemployment. These results highlight the importance of regional resource allocation and the role of the agricultural sector in reducing urban unemployment.     

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.     

THE WELFARE ASPECTS OF SPATIAL PRICING POLICIES RECONSIDERED FOR A MONOPOLY CASE*

ABSTRACT. We reexamine the price structures and their welfare implications in three pricing regimes (mill, uniform and discriminatory) for a monopoly. We show that spatial price discrimination could provide the highest social welfare and, when consumers tastes are heterogeneous enough, also the highest consumer surplus. The superiority of spatial price discrimination is partially due to the larger output produced and partially due to differential treatment for consumers with heterogeneous tastes.     

国内外城市居住空间研究的回顾与展望

住宅作为城市的重要职能和城市空间结构的重要组成部分,长期以来地理学、经济学、社会学、政治学等不同学科的学者一直关注城市居住和相关理论的研究。本文在全面阐述西方居住空间研究的理论、方法、研究领域和研究成果的基础上,对我国有关城市居住空间的研究领域和研究进展进行回顾,并展望有待进一步深化研究的领域。     

基于"以人为本"生态区域基质的城市规划空间结构

通过城市规划空间结构历史演化过程分析,我国经历了从农业区域基质到工业区域基质的五次城市规划空间结构演化更替的过程,且每次规划空间结构更替都有特定的社会经济历史背景。我国带着不同社会经济体制所遗留的各种痕迹和烙印,迈入了以市场经济、经济全球化、区域经济集团化为宏观背景的信息化社会,且我国还处于工业化、城市化的中期。面对新世纪的发展环境,并结合我国国情,提出了基于“以人为本”生态区域基质的以生态经济区为单位来组织现代城市规划空间结构体系的基本思想,并构建了我国现代城市空间结构体系的基本框架。     

COMPUTATIONAL COMPARISONS OF SPATIAL PRICE EQUILIBRIUM METHODS*

ABSTRACT. In this paper we propose new algorithms for the solution of both general and standard spatial price equilibrium problems, and test their performance with existing algorithms on randomly generated problems. For the standard problem, we propose decomposition schemes based on the concept of “equilibration operator” and compare their performance with the Frank-Wolfe method. For the general problem, we present alternative variational inequality formulations defined over Cartesian products of sets and then exploit these formulations to construct Gauss-Seidel-type serial decomposition methods. We then compare their performance with the projection method. Our computational tests suggest that the new schemes are substantially more efficient than earlier ones.