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.     

THE STRUCTURE OF METROPOLITAN FACTOR AND PRODUCT MARKETS*

ABSTRACT. In this study we use a translog profit function and iterate seemingly unrelated regressions to estimate a system of factor demand and output supply functions for metropolitan economies. Our sample includes all metropolitan areas defined by the Census in 1977 for the period 1962 to 1982. Estimation shows that all price elasticities are elastic and that the signs are as expected. These results hold true for virtually all model specifications. Our findings indicate that federal, state, and local tax policies have significant impacts on factor demand and output supply. Public investment plays a positive and significant, but small, role in increasing output and in complementing other factors, although this influence has declined over time. Additionally, capital provided by the private sector has a substantially larger impact on output and employment than does capital provided by the public sector.     

GENERAL EQUILIBRIUM ANALYSIS OF URBAN SPATIAL STRUCTURE. THE PORT-CITY MODEL RECONSIDERED*

In this paper, I consider a general equilibrium urban spatial structure in the setting of a port city by adopting Cobb-Douglas type functional forms for production and utility functions. Unlike previous port-city models, this one can generate four land-use patterns, that is, (1) monocentric, (2) completely integrated, (3) partially integrated (with integration at the center), and (4) partially integrated (with integration at the urban fringe) land-use patterns, and the last pattern suggests a new explanation of suburbanization of employment. The existence and uniqueness of each land-use pattern is proven in a simple constructive way.     

STRUCTURAL CHANGES IN LABOR DEMAND AND UNEMPLOYMENT IN LOCAL LABOR MARKETS*

ABSTRACT. It seems quite clear that the US. economy in the late 1970s and early 1980s was exposed to an accelerated rate of structural change resulting from energy price shocks, increased international competition and technological change. It is of considerable interest, then, that previous attempts to examine structural unemployment in this period find that structural shift in employment generally were not Significant determinants of the unemployment rate. This paper revisits this issue using a measure of structural job shifts drawn from the literature on establishment job creation and destruction. The results show that changes in the structure of labor demand across industry by establishment-size sectors had a statically significant and empirically important positive effect on the unemployment rate in a sample of 200 metropolitan labor markets during the 1976 to 1984 period.     

PRODUCT DIFFERENTIATION,PRICING POLICY AND EQUILIBRIUM*

ABSTRACT. This paper studies the price-location equilibrium of duopolists supplying differentiated goods and competing in a spatial market with elastic demand. We show that a price-location equilibrium exists under all three pricing policies traditionally considered by the literature: f.o.b. mill, uniform delivered, and spatially discriminatory pricing. We also show that firms always cluster at the market center. The second part of the paper studies the endogenous choice of pricing policy. A surprising feature of the resulting equilibrium is asymmetry. The greater the extent to which the goods are substitutes, the more likely is it that one firm will choose f.o.b. pricing and the other price discrimination. Finally, the welfare consequences of the analysis show some interesting trade-offs.     

COMPETITIVE AND IMPERFECTLY COMPETITIVE LABOR MARKETS IN URBAN AREAS*

ABSTRACT. In this paper, I present a model incorporating two kinds of spatial labor markets: a centralized competitive market at the central business district (CBD) and dispersed local markets across economic space under imperfect competition. Wage differentials and the size of the two types of markets are endogenously determined by rational choices of workers as well as profit maximization of firms. Workers can exercise rational choices with respect to market places where they commute and supply their labor. In this model, I attempt, in effect, to integrate the Hotelling-type paradigm and the Samuelson-type paradigm in a consistent spatial setting.     

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.     

URBAN UNEMPLOYMENT AND THE SPATIAL STRUCTURE OF LABOR MARKETS: AN EXAMINATION OF THE “TODARO PARADOX” IN A SPATIAL CONTEXT*

ABSTRACT The Todaro paradox and the effects of job creation in urban areas will be re-examined in our spatial model in which the radius of the labor market is endogenously determined by the rational choices of workers. The travel cost of workers plays a crucial role in the choice between two different types of response, migration or commuting. By considering travel costs, we find that the Todaro paradox can be applied to developed, as well as developing, countries. Job creation in urban areas can produce a paradoxical increase in urban unemployment in developed countries, because the low marginal cost of travel will significantly increase the radius of the urban labor market and create new labor supply without migration.     

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.     

MILL PRICING AND SPATIAL PRICE DISCRIMINATION MONOPOLY PERFORMANCE AND LOCATION WITH SPATIAL RETAIL MARKETS*

ABSTRACT. Most of the monopoly spatial price discrimination literature explicitly assumes uniform population density over space. It also implicitly assumes that firms (plants) are spatially isolated from each other with production and retail points that coincide in location. While departures from these assumptions have been explored separately in the literature, it remains to examine performance and location when these assumptions are relaxed simultaneously. What emerges in this paper is a model where density functions approximate a pair of cities isolated from other cities. Each city has its own retail market, while the location of a single production or wholesale point is determined by characteristics of the two markets. Comparisons of mill pricing and spatial price discrimination found in the spatial monopoly literature can be interpreted as special cases of the more general framework provided here.     

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.     

SPATIAL EQUILIBRIUM WITH FOOTLOOSE FIRMS*

ABSTRACT. We determine the location equilibria in a duopoly model under a novel solution concept. Typically, spatial equilibrium is described as either a simultaneous price and location game, or else as a two-stage location-then-price game. We introduce a new alternative, a two-stage price-then-location game. It is well known that no (pure strategy) equilibrium usually exists under the two standard solution concepts when products are homogeneous. We show this is also true for the new concept. We then provide numerical results for a specific functional form (the logit model) which introduces product heterogeneity into the standard framework, restoring equilibrium when the degree of substitutability between products is not too small.     

ECONOMIES OF SCALE AND ENTRY IN SPATIAL MARKETS

For the purposes of simplicity, short-run cost functions are widely used in spatial markets literature, even when the long-run effects of entry are in question. In this paper, I show that if a long-run cost function is incorporated into a Löschian model, counter-intuitive and novel performance characteristics can result. Under some circumstances welfare per area can decrease as cost levels decrease.