A formulation of spatial price equilibrium model and its computation procedure

空间价格均衡模型的建立及其计算过程

基本信息

批准号：
63550387
负责人：
MIYAGI Toshihiko
金额：
$ 1.34万
依托单位：
Gifu University
依托单位国家：
日本
项目类别：
Grant-in-Aid for General Scientific Research (C)
财政年份：
1988
资助国家：
日本
起止时间：
1988 至 1989
项目状态：
已结题

项目摘要

Since Samuelson (1952) pointed out that there exists an objective function where maximization satisfies the conditions of perfectly competitive equilibria among spatially separated markets, the use of mathematical programming approach to study market behavior over space has been significantly progressed in this field. Many works developed so far generally treat a perfectly competitive model or a monopoly model, however, it is natural feeling that a real world for markets of most primary commodities and manufactured goods lie somewhat between these two extremes,taking some forms of oligopoly. The purpose of this research is first. to extend the Greenhut model so as to permit spatial pricing in commodity market where it could happen that no trading takes place between some pairs of regions and second, to provide an efficient and easily implementable computational procedure for finding the inter-regional equilibrium commodity flow in spatially separated oligopolistic market, which is appl … More icable to spatial pricing with nonlinear marginal- production cost and the sub-optimization program of the variational equality. formulation of the spatial price equilibrium model.Three major conclusions were drawn from this research. First, the fundamental pricing equation is essentially the same as the composite performance function used in traffic equilibrium. However, the composite performance function is no more than convenient device of interpreting equilibrium processes given demand function and individual performance functions and has not been used for computational purposes. It can be said that G-G model gives an idea about how to make the composite function for computational purposes given individual cost (or performance) functions. On the other hand,methodology cultivate in traffic equilibrium may shed light on a special type of spatial oligopolistic equilibrium model, conceptually and numerically. Second, it was shown that in a spatial oligopolistic market, as like in spaceless economy, if there is excess quantity in market it makes to raise market price and that excess quantity vanish if the market is in equilibrium. These results imply that as long as market is tentative, there exists tentative flows and that some firms exit from the market because of suffering deficit. Thus, a computational procedure was structured so as to reflect such phenomena. As far as a numerical example demonstrated in section 3 is concerned, the procedure proposed in this paper seems not only to converge to the equilibrium state in an efficient ways, but also to be easily implementable. Third, the method developed in this paper is likely to be efficient in spatial pricing with nonlinear marginal-production cost as well by introducing double- stage algorithm. This may bring a drastic computational time saving in finding equilibrium flows in spatial oligopolistic model. But further careful examination and more detail analysis on application of the proposed method to variable marginal-cost problem will be required to confirm the convergency of the procedure. Less

自从萨缪尔森（Samuelson，1952年）指出的是，最大化满足了空间分离市场的良好竞争力，因此在迄今为止在这一领域开发的许多作品都在研究市场行为的使用方法。竞争性模型或制造商的垄断模式和制造商品有点极端，这是该研究的目的。区域和第二的气氛，提供了一种效率和易于侵入的计算程序，以在空间分离的寡头市场中找到平衡均衡商品流量...更适合于非线性边际差异的空间定价，以降级为单位。该研究首先得出了两个重大结论，这是一个研究的基本定价，与交通均衡相同的函数不再是解释均衡过程的基本性能。并没有用于计算目的。空间寡头均衡模型的类型，其次，其次，证明在空间寡头市场中，如果市场上提高待办事价格的价格过多，那么在空间寡头市场中，经济较小这些TAT长期存在，暂定的Flome公司将从市场上退出市场，从而涉及计算程序。不要以效果的方式融合到平衡状态。模型将需要较少的问题。

项目成果

期刊论文数量（12）

专著数量（0）

科研奖励数量（0）

会议论文数量（0）

专利数量（0）

T.Miyagi: "An Efticient and Easily Imperwentabic Computationsl Procedure for Determination of Origopolistic Spatial Price Eguilibrium" Paper Presented at the 11th Pacitic Regional Sience Conterence(to be published in PRSA).

T.Miyagi：“An Efticient and Easy Imperwentabic Computationsl procedure for Decision of Origopolistic Spatial Price Eguilibrium”在第 11 届太平洋区域科学大会上发表的论文（将在 PRSA 上发表）。