A SPATIAL COMPETITION APPROACH TO CENTRAL PLACE THEORY: SOME BASIC PRINCIPLES*

ABSTRACT. This paper investigates the potential offered by the model of spatial competition for the study of central place theory. We consider n firms selling m substitutable or complementary goods to a continuum of consumers evenly distributed along a linear segment. Consumers have the same income and the same utility function which is quadratic in the goods supplied by the firms and linear in the numeraire. The main results are as follows. (1) In any location equilibrium in which all goods are consumed everywhere, each good supplied by a single firm is sold at the market center. In Christaller's terminology, this means that when the exhaustive principle holds in equilibrium, highest-order goods are made available at the center. (2) When all goods (excluding the numéraire) are complements to each other and each good is sold by a single firm, there always exists an equilibrium in which all the firms locate coincidentally. (3) If the stores selling a given good are under the control of a single owner then, in any equilibrium for which the exhaustive principle holds, the stores are located in a way such that the total transport cost (borne by consumers) is minimized.     

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.     

Optimizing the Spatial Structure of the Agricultural Production Function

Important characteristics of spatial agricultural production functions are derived by introducing a non‐negative curvilinear spatial demand function for production input intensities. Given the usual neoclassical rationale assumptions of spatial demand for capital and labor inputs under competitive environment of farming in developing agricultural economies, the optimal production levels are determined by optimizing spatial demand for production inputs. Decreasing price‐to‐transport costs ratio (that is, decrease in the prices of capital goods or increase in freight rates) and increasing wage‐to‐travel costs ratio (that is, increase in labor wages or decrease in the travel rate) expand the limits of the (spatial) optimal boundary of the demand for agricultural capital goods and labor input respectively. These effects occur on account of the operation of (positive) spatial price gradient and (negative) wage‐gradient in the market region. It may be noted that elasticities of demand for production factors are spatially variant and have significant effects on the alterations in the structure of agricultural production. However, the spatial optimal solution of production has a complicated relationship with them. The price elasticity has negative and wage elasticity has positive spatial gradients in the market region. Farmers located in the periphery of the market region are not much affected by the proportionate changes occurring in the prices of agricultural capital goods but are more sensitive to the proportional changes in labor wages. Because of a decreasing trend in capital input demand and increase in labor input with distance from the market, capital‐product diminishes with a decreasing rate and labor‐product increases with an increasing rate in the spatial structure of agricultural production. As a result, capital‐labor ratio falls toward zero, which raises profit rate per unit of capital investment especially in the outer part of the market region. The equilibria of optimal production with price elasticity as well as of capital intensity with labor employment (that is, capital‐labor ratio as unity) determine spatial limits of the optimal production zone which is shifted outward subject to the provision of cheap transportation, stabilizing market prices and/or increasing wage rate at the market center. It will help in extending outwardly the optimal spatial limits of capital investment and will mobilize capital resources of farmers in the periphery for efficient and competitive capital‐dominated farming.     

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.     

教育资源配置对住房价格影响的时空差异研究——以35个大中城市为例

本文以2002-2017年35个大中城市为数据基础,借鉴Rosen-Roback城市空间均衡模型,测度大中城市教育资源对住房价格的影响差异性。研究发现：①控制其他变量后,教育事业费支出水平每提高1%,住房价格水平平均上涨0.156个百分点;②空间维度上,沿海城市的教育资源对住房价格的影响,显著小于内陆城市;而政治级别的差异在大中城市间的影响较小;③时间维度来看,教育资源对住房价格的影响在各时期都是显著存在的,表明教育资源的影响具有长期累积特征;从影响程度绝对值来看,影响系数具有随时间递减的特征。     

制度变迁与中国城市的发展及空间结构的历史演变

我国的城市发展水平同经济发展水平的偏离,说明对城市发展及其空间结构演变分析不能仅局限在物质经济领域,需要我们寻求影响城市发展及其空间结构变化的新因素一制度因素,把制度作为影响城市发展及其空间结构的一个主要的变量,来对此加以解释。为此,本首先构建了“制度变迁一城市发展变化”的理论框架,然后用该理论从宏观和微观两个方面来检验1949-1998年间制度变迁对城市发展及其空间结构的影响。与西方国家的以市场经济为主要动力驱动型的城市发展模式不同,中国城市的发展及其空间结构的演变在很大程度上是制度变迁而诱致的结果。但不同的制度对城市数量增长、组织体系及空间布局和对城市空间结构演变的作用力度又不尽相同。改革开放后,由于制度变迁带来的激励作用,中国城市获得了快速发展,城市空间结构快速变化。但与此同时,中国城市化的发展水平与相同发展条件下的世界城市化水平的差距却在拉大。而且随着市场经济体制的逐步完善,影响城市增长及空间结构的演变力量的因素越来越趋于分散化,制度变迁对城市发展所带来的激励作用正在弱化。为适应新世纪我国城市发展的战略目标,需要进行体制创新,为中国城市的发展及其空间结构的演变提供新的制度支持。     

中国文物拍卖市场二十年（下）

三．文物艺术品拍卖市场在建设社会主义文化强国中做出的贡献 文物艺术品拍卖行业和国民经济的支柱产业相比,显然是一个规模不大的小行业,但文物艺术品拍卖企业是文化企业,它们经营的文物艺术品都是民族的血脉,从事的业务都属于建设人民的精神家园的神圣工作,所起的作用,特别是在建设社会主义文化强国方面起的作用,确实是巨大的,极其引人关注的,其贡献主要有六个方面：     

SPATIAL COMPETITION À LA COURNOT: PRICE DISCRIMINATION BY QUANTITY-SETTING OLIGOPOLISTS*

In this paper, we consider oligopolistic competition in a spatial model when firms take care of goods' delivery and discriminate among consumers. Firms compete by setting quantity schedules independently over space. We show that under general conditions a Nash equilibrium in this game exists and is unique. In equilibrium, firms’ markets overlap, a feature which accords with intuition and empirical observations. Over the interval between two firms, the equilibrium spatial price schedule is quasi-concave (quasi-convex) when transport costs are concave (convex). With linear transport costs, the model predicts uniform delivered pricing. Uniform pricing could moreover be obtained by a combination of increasing returns to volume in transportation together with concavity of unit transport costs in distance.     

中国文物拍卖市场二十年（上）

中国文物艺术品拍卖市场,从1992年首场北京国际拍卖会开始,已经整整走过二十个年头了。这二十年,中国文物艺术品拍卖市场从无到有,由小到大;从没有经验,到初步走上规范,取得辉煌的成绩,实现了翻天覆地的变化,可以说得到了大发展大繁荣,为建设社会主义文化强国做出了贡献。     

TARIFF PROTECTION IN AN OPEN SPATIAL ECONOMY*

Spatial pricing models have been used to illustrate a tariff's asymmetric effects on consumers located at different points in the protected economy, and to demonstrate that the optimum tariff for a small open spatial economy may be positive. In these models, the distribution of households has been taken as uniform and fixed. We extend the spatial model by allowing households to optimally locate and consume variable amounts of land, as well as the domestic- or foreign-produced good. Land consumption, location rents, and the distribution of consumers are endogenous, responding to tariff-induced changes in the delivered prices of the domestic and foreign goods. Within this limited general equilibrium framework, a neoclassical result resurfaces: from the perspective of private consumers, the optimum tariff in a small open economy is zero. The possibility of a positive optimum tariff, however, may remain intact in a more integrated model where domestic profits and tariff revenues are redistributed within the spatial economy.     

Stability of Spatial Equilibrium*

Abstract. Asymptotic stability of equilibrium is often difficult to know when the number of variables exceeds four, since all eigenvalues of the Jacobian matrix are not analytically solvable. However, we obtain stability conditions for a general class of migration dynamics without computing eigenvalues. We show that a spatial equilibrium is stable in the presence of strong congestion diseconomies, but unstable in the presence of strong agglomeration economies. We also show existence of a stable equilibrium in the case of negligible interregional externalities, which is applicable to club goods, local public goods, and new economic geography.     

国宝回归话十年——略述拍卖市场与国家的回归

It is already a decade since the auction market appeared in China. The value of Chinese relics and arts has shot up close to international levels. The paper reviews the course traversed by the China auction market and its role is getting back state treasures.     

A Three-State Markov Model of Choice Behavior within Spatial Structures

This paper derives a simple mathematical model of spatial learning and choice by integrating several psychological theories, whose features accord with the results of empirical investigation in a previous paper [2]. A sample of homogeneous decision-makers are assumed to make a succession of selections from a given set of initially unknown spatial alternatives (for example, a set of shopping places for a good). The decision-makers pass through two states of “recognition” and “discrimination” learning, before reaching an equilibrium state. In the equilibrium state, decision-makers have sufficiently learned the attributes of the alternatives so that satisfactory choices are always made. These assumptions permit the derivation of mathematical expressions to answer two questions: first, what proportion of decision-makers will be in the equilibrium state after any given time interval, and second, what proportion of decision-makers will choose any designated spatial alternative after the same time interval. In the second case, the proportion of decision-makers choosing an alternative is predicted from the individuals' perceptions of the attributes of the alternatives. The paper concludes with an evaluation of the model and suggestions for its testing and further development.     

Competition and Efficiency in a Spatial Setting

In this paper our primary concern is with a spatial model of competing firms in a regional industry. The firms are producing for an extraregional market and are located so as to gain exclusive access to a dispersed raw-material input. After outlining the form of the industry long-run average cost curve, we specify the equilibrium outcome, both for the individual firm and the regional industry. We demonstrate that the industry long-run supply curve does not coincide with the industry long-run average cost curve. We further show that the outcome in the spatial model results from the separation of firms, each firm having its own domain, part or all of which becomes its supply area.     

析艺术品拍卖市场之现状

The artwork market in China is in its first stage,where we can find many problems.The author evaluates the artwork market briefly and clearly frem multi-aspects,such as the p producer consumer,the auctioneer,and the auction operating mechanism.     

A CONTEXTUAL THEORY OF RETAIL CENTRAL PLACES ON A LINEAR MARKET*

ABSTRACT. This paper presents an initial version of a new theory of central places for retailing activities. Confined to a linear market and using the Contextual Theory of Demand to model consumer behavior, the model extends the economic theory of central places (Eaton and Lipsey, 1982). In its present form, the model specifies four parameters that control the spatial relationship between the locations of households and the equilibrium locations of central places: expenditure shares in consumption, transportation cost functions, storage costs by commodity, and capital costs of retailers. The locational equilibria of the model are optima when all costs are considered.     

AMENITIES VERSUS LABOR MARKET OPPORTUNITIES: CHOOSING THE OPTIMAL DISTANCE TO MOVE*

ABSTRACT. A recent debate in the regional economics literature has focused attention on the motivation behind an individual's decision to migrate. Human-capital migration models emphasize labor market disequilibria whereas alternative (hedonic) migration models stress households’altered demand for nontraded goods. In this paper, we test the relative importance of these two possible motivations for moving between metropolitan areas. We use an intercity hedonic model to decompose wages into equilibrium and disequilibrium components. We then compare the separate influences of amenities and the disequilibrium component of wages on the distance moved between two metropolitan areas. Our findings indicate that both economic factors and amenity differentials are significant factors in explaining regional migration.     

ON THE SHAPE OF MARKET AREAS IN LÖSCHIAN SPATIAL MODELS*

ABSTRACT. The paper analyzes the lattice shape of equilibrium configurations of firms in spatial models. Lösch's assertion that free entry will result in hexagonal market areas is proved for a variety of assumptions about the nature of the market equilibrium, and about the preferences of customers. All the models considered, however, incorporate rational entry behavior and identify the stable lattice as an entry deterring equilibrium. A simple proof is presented of the optimality of hexagonal market areas, at least among regular space-filling configurations.     

Domestic timber auctions and flexibly specialized forestry in Japan

In Japan, a well-established, widespread system of local timber market auctions, featuring the exchange of privately owned logs, is increasingly threatened by imports organized according to mass production principles. This article assesses the evolution, rationale, and functions of Japan's timber auctions that were primarily created in post-war Japan to provide key roles linking small-scale (private) forest owners to flexibly specialized value chains that are consummated in Japanese homes. The conceptual point of departure for the analysis is flexible specialization theory's interpretation of industrialization as a contest between mass production and small-scale production. We extend this discussion by giving analytical priority to markets as an institution distinct from firms and by interpreting markets from the perspectives of transaction costs and embeddedness, concepts normally deemed antagonistic to one another. Empirically, four case studies of timber auctions located in central and southern Japan are analyzed based on personal interviews with auction managers and participants within the context of broader trends in forestry. Three auctions feature 'silent' bidding and one involves open bidding. While the auctions exhibit varying characteristics, they continue to be the fulcrum of localized forestry systems, even as they are threatened by declining prices driven by imported wood and by restructurings within the Japanese solid wood sector. The continued resiliency of the flexible specialization model, and the auctions that are at its core, has important implications for forestry throughout Japan.     

DISENTANGLING AGGLOMERATION ECONOMIES: AGENTS,SOURCES, AND SPATIAL DEPENDENCE*

ABSTRACT This paper expands the literature on agglomeration economies in three ways. It disentangles amenity and productivity effects of agglomeration; it decomposes aggregate scale effects into agglomeration factors of interest to policy makers; and it estimates own effects and spillovers to neighbors. It proposes a spatial simultaneous equations model in a spatial equilibrium framework with three agents—workers, consumers, and producers of traded‐goods and housing. Results for Ohio counties estimate economies resulting from population size, agglomeration causes, and public service quality and cost on each of the three agents in own and neighboring counties.