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assignmentutor-lab™ 为您的留学生涯保驾护航 在代写微观经济学Microeconomics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。我们的专家在代写微观经济学Microeconomics代写方面经验极为丰富，各种代写微观经济学Microeconomics相关的作业也就用不着说。

• Statistical Inference 统计推断
• Statistical Computing 统计计算
• (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|微观经济学代写Microeconomics代考|Hicksian Aggregability of Goods

When trying to explain and predict consumer demand, generally the data on which one can base one’s estimates and predictions are data about expenditure on groups of goods, say, ‘wine’, or ‘meat’; some aggregation of heterogeneous goods into a group or category is generally inevitable. The difficulty derives from the changing composition of the demand for the goods in the group as income or prices change: if the composition were fixed, one could treat the basket of goods as a single composite good with a price equal to the sum of the prices of its components. When is aggregation nonetheless legitimate? Theory studies the cases in which aggregation is rigorously legitimate; the applied economist will then try to assess whether reality is close enough to the ideal conditions as to justify aggregation as an acceptable approximation.

Aggregability of some goods in demand functions is possible if the relative prices of these goods are constant; then it is possible to treat the total expenditure on the group of goods as if it were expenditure on a single good, derived from maximization of a utility function where the group of goods is treated like a single good with a single price, without worrying about how the composition of the demand for the goods in the group changes when other prices change. This result is called the Hicksian composite commodity theorem ${ }^{50}$ The constancy of relative prices among a group of goods is called the Hicksian aggregability condition.
Assume a consumer with given income, who maximizes utility over consumption goods that can be divided into two subvectors, $x$-goods (of which there are $k$ ) and $y$-goods; the demand for $x$-goods is represented by subvector $\mathbf{x}$ and the demand for the $y$-goods by subvector $\mathbf{y}$, with money price subvectors, respectively, p for the $x$-goods, and $\pi$ for the $y$-goods. The (Marshallian) UMP is
$$\max _{\mathbf{x} . \mathbf{v}} u(\mathbf{x}, \mathbf{y}) \text { s.t. } \mathbf{p x}+\mathbf{p y}=m \text {. }$$

## 经济代写|微观经济学代写Microeconomics代考|Revealed Preference

In 1938 Paul Samuelson argued that it is not necessary to base consumer theory on axioms about preferences that are only justifiable, if at all, by a process of introspection which concludes to the existence of a preference relation not amenable to direct observation by outsiders. He proposed to adopt a different approach which starts from axioms about observable entities: the observed consumption baskets demanded by consumers.

The aims of the proposal were not radical: there was no desire to subvert standard consumer theory, only to give it a foundation not requiring the existence of subjective unobservable entities. The main question therefore was what axioms made directly on observable choices allow one to obtain the same results on demand as derived from standard preference theory. Having found those axioms, if observable choices do comply with them, then consumers behave as if they had standard preferences representable via a utility function; then one can ask how these as-if preferences are at least partly revealed by observed choices.

Suppose a consumer has standard preferences ${ }^{53}$ and behaves according to them, how does this restrict her observable choices?

When a consumer, endowed with an income $m$ and faced with prices $p$, chooses a consumption vector $\mathbf{x}$ while she could afford another consumption vector $\mathbf{y}$ because $\mathbf{p y} \leq m$, it must be the case that she prefers $\mathbf{x}$ to $\mathbf{y}$, or at least that she is indifferent between $\mathbf{x}$ and $\mathbf{y}$ and has chosen by tossing a coin. Thus the choice of the consumer reveals that $\mathbf{x} \succsim \mathbf{y}$. Define the revealed preference relation xRPy as follows:

Revealed Preference. A consumption vector $\mathbf{x}$ is revealed preferred to $\mathbf{y}$, and we write $\mathbf{x} R P \mathbf{y}$, if $\mathbf{x}$ is demanded when $\mathbf{y} \neq \mathbf{x}$ could have been demanded because affordable, $\mathrm{py} \leq \mathbf{p x}$.

# 微观经济学代考

## 经济代写|微观经济学代写Microeconomics代考|Hicksian Aggregability of Goods

$$\max _{\mathbf{x} . \mathbf{v}} u(\mathbf{x}, \mathbf{y}) \text { s.t. } \mathbf{p} \mathbf{x}+\mathbf{p y}=m$$

## 经济代写|微观经济学代写Microeconomics代考|Revealed Preference

1938 年，保罗·萨缪尔森 (Paul Samuelson) 认为，没有必要将消费者理论建立在关于偏好的公理之上，这些公理只有通过内省的过程才能证明存在 一种不适合外人直接观察的偏好关系。他建议采用一种不同的方法，从关于可观察实体的公理开始：消费者要求的可观察消费篮子。

## 有限元方法代写

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## 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。

assignmentutor™您的专属作业导师
assignmentutor™您的专属作业导师