### 经济代写|产业经济学代写Industrial Economics代考|ECON3400

statistics-lab™ 为您的留学生涯保驾护航 在代写产业经济学Industrial Economics方面已经树立了自己的口碑, 保证靠谱, 高质且原创的统计Statistics代写服务。我们的专家在代写产业经济学Industrial Economics代写方面经验极为丰富，各种代写产业经济学Industrial Economics相关的作业也就用不着说。

• Statistical Inference 统计推断
• Statistical Computing 统计计算
• Advanced Probability Theory 高等概率论
• Advanced Mathematical Statistics 高等数理统计学
• (Generalized) Linear Models 广义线性模型
• Statistical Machine Learning 统计机器学习
• Longitudinal Data Analysis 纵向数据分析
• Foundations of Data Science 数据科学基础

## 经济代写|产业经济学代写Industrial Economics代考|Product differentiation and the pricing of varieties

Consider consumers distributed uniformly over the unit circle with firms 1 and 2 in arbitrary locations, the shortest arc distance between them being $s$ (that is $s \leq 1 / 2$ ). In figure 7.6, firm 1 is located at $x=0$ and firm 2 at $x=s$. Suppose that firms have no production costs and that transportation costs are quadratic with coefficient $t$ and no linear term. (As explained in section 1, here transportation costs will be the costs associated with transforming a base product into a variety or specialized product.)

In the situation we have in mind each firm produces a base product, corresponding to its location in product space (the circle), and at the first stage it has to decide whether to (potentially) offer the whole array of varieties and price discriminate or just to offer the base product and therefore to price uniformly. In the latter case the supply of specialized varieties is left to outside independent producers which, we will assume, price competitively at cost. In any case, we assume that the costs of redesigning the base product increase quadratically with the distance at which the variety chosen is located. The first-stage choice could also be interpreted as a decision as whether to integrate forward or not. The base product could be a base chemical or steel and the varieties the specialized chemicals or steels. Whatever the interpretation, if a firm chooses to produce only the base product, then it will choose a uniform price, and if it chooses to offer the array of varieties, it will choose a price schedule when the market stage comes. As before we assume that in the mixed cases $(U, D)$ or $(D, U)$ the firm that prices uniformly moves first and therefore figure $7.2$ represents the game tree of our game. This may come about because this firm may need to advertise its price in order to get any sales (put advertisements in the newspapers, for example), whereas the price-discriminating firm may just announce that it will meet the competition (in any case to announce the whole price schedule in an intelligible way may be too complex and costly due to the large number of varieties).

## 经济代写|产业经济学代写Industrial Economics代考|Concluding remarks

We have examined the implications of letting firms choose their price policy in the context of a spatial competition model with given locations for firms. Either firms choose simultaneously price policy and actual prices, or firms may commit to a certain policy (uniform pricing) before the actual price competition takes place. The general conclusion is that there is a robust tendency for a firm to choose the discriminatory policy since it is more flexible and does better against any generic strategy of the rival, although, as we have seen in the models of section 3, firms may end up worse off than if they choose to price uniformly.

Furthermore, in those models, prices that consumers paid under uniform pricing were higher than under discriminatory pricing. This is not totally surprising: denying a firm the right to meet the price of a competitor on a discriminatory basis provides the latter with some protection against price attacks. The effect is then to weaken competition, contrary to the belief of the proponents of naive application of legislation prohibiting price discrimination like the Robinson-Patman Act in the United States, or similar recommendations of the Price Commission in the United Kingdom. Actually, as observed by Hoover:

The difference between market competition under FOB pricing (with strictly delineated market areas) and under discriminatory delivered pricing is something like the difference between trench warfare and guerrilla warfare. In the former case all the fighting takes place along a definite battle line; in the second case the opposing forces are intermingled over a broad area. (1948, p. 57)

Our results are short-run results since both the location and the number of firms are given. We know that the choice of a particular price policy leads to different long-run equilibrium patterns (see, for example, Greenhut et al., 1987, part III). When policy and prices are chosen simultaneously, Proposition 1 (that can be generalized to the case of any number of firms) indicates that, at the long-run equilibrium, firms will choose to price discriminate in the absence of institutional constraints. Thus, at the long-run equilibrium, uniform pricing would not be observed. Lederer and Hurter (1986) have shown that, with perfectly inelastic demand, two price-discriminating firms will locate in order to minimize total transportation costs.

.

## 有限元方法代写

tatistics-lab作为专业的留学生服务机构，多年来已为美国、英国、加拿大、澳洲等留学热门地的学生提供专业的学术服务，包括但不限于Essay代写，Assignment代写，Dissertation代写，Report代写，小组作业代写，Proposal代写，Paper代写，Presentation代写，计算机作业代写，论文修改和润色，网课代做，exam代考等等。写作范围涵盖高中，本科，研究生等海外留学全阶段，辐射金融，经济学，会计学，审计学，管理学等全球99%专业科目。写作团队既有专业英语母语作者，也有海外名校硕博留学生，每位写作老师都拥有过硬的语言能力，专业的学科背景和学术写作经验。我们承诺100%原创，100%专业，100%准时，100%满意。

## MATLAB代写

MATLAB 是一种用于技术计算的高性能语言。它将计算、可视化和编程集成在一个易于使用的环境中，其中问题和解决方案以熟悉的数学符号表示。典型用途包括：数学和计算算法开发建模、仿真和原型制作数据分析、探索和可视化科学和工程图形应用程序开发，包括图形用户界面构建MATLAB 是一个交互式系统，其基本数据元素是一个不需要维度的数组。这使您可以解决许多技术计算问题，尤其是那些具有矩阵和向量公式的问题，而只需用 C 或 Fortran 等标量非交互式语言编写程序所需的时间的一小部分。MATLAB 名称代表矩阵实验室。MATLAB 最初的编写目的是提供对由 LINPACK 和 EISPACK 项目开发的矩阵软件的轻松访问，这两个项目共同代表了矩阵计算软件的最新技术。MATLAB 经过多年的发展，得到了许多用户的投入。在大学环境中，它是数学、工程和科学入门和高级课程的标准教学工具。在工业领域，MATLAB 是高效研究、开发和分析的首选工具。MATLAB 具有一系列称为工具箱的特定于应用程序的解决方案。对于大多数 MATLAB 用户来说非常重要，工具箱允许您学习应用专业技术。工具箱是 MATLAB 函数（M 文件）的综合集合，可扩展 MATLAB 环境以解决特定类别的问题。可用工具箱的领域包括信号处理、控制系统、神经网络、模糊逻辑、小波、仿真等。