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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|Optimization

Having assumed that the consumer has given preferences, we now assume that the consumer behaves according to them and acts so as to achieve a most preferred consumption basket among those that she can afford. The set of consumption baskets the consumer can afford is called the feasible set or budget set $B$. The budget set is the intersection of two sets: the consumption set (the set of admissible baskets) $X$ and the set of attainable baskets given the budget constraint. The set of attainable baskets is the set of consumption baskets that cost no more than what the consumer can spend. There are two standard specifications of this constraint. The Marshallian approach concentrates on demand for consumption goods of a consumer whose income is treated as given, determined in another part of the overall theory; the given consumer’s income is $m$, and $\mathbf{p}$ is the (row) vector of prices of consumption goods, so with $\mathbf{x}$ the generic sym$B={\mathbf{x} \geq \mathbf{0} \cdot \mathbf{p} \mathbf{x} \leq m}$, i.e. is the portion of $R^{n}{ }^{\text {}}$ included between the origin, the $B={\mathbf{x} \geq 0$ : $\mathbf{p x} \leq m}$, i.e. is the portion of $R_{+}^{n}$ included between the origin, the no negative axes and the hyperplane $\mathrm{px}=m$ orthogonal to $\mathrm{p}$, the latter hyperplane is called the budget hyperplane (in the two-goods case, it is the budget line $p_{1} x_{1}+p_{2} x_{2}=m$ ). The general equilibrium approach (or Walrasian approach) treats the consumer as having a vector $\omega$ of endowments (of goods or of factreats the consumer as having a vector $\omega$ of endowments (of goods or of facextended to include the prices or rentals of these endowments, and the budget set is $B={\mathbf{x} \geq \mathbf{0}: \mathbf{p} \mathbf{x} \leq \mathbf{p} \omega}$.

Let the goods and factor services be perfectly divisible and the consumer’s preferences be represented by a continuous utility function. The consumer tries to maximize her utility under the budget constraint plus the constraint that the quantities must be in the consumption set. Thus, in the Marshallian version the UMP, utility maximization problem, has the form:
$\max {\mathbf{x}} u(\mathbf{x})$ s.t. $\mathbf{p x} \leq m, \mathbf{x} \in X, \mathbf{p} \in R{+}^{n}$ where $n$ is the number of goods considered.

## 经济代写|微观经济学代写Microeconomics代考|Demand, Continuity and Upper Hemicontinuity

As p changes, the solution to the UMP changes. Does the UMP generate demand functions (i.e. a unique best choice for each p)? This is not guaranteed. One can show it graphically. Assume two goods and a consumer with a given income $\mathrm{m}$. If one assumes a monotonic utility function, it is clear that the budget constraint can be written as an equality, $p_{1} x_{1}+p_{2} x_{2}=m, x_{1} \geq 0, x_{2} \geq 0$, because optimal consumption is necessarily on the budget line; in fact for this result we only need local non-satiation, because the consumer must choose the basket that yields the maximum utility among those baskets she can afford, and local non-satiation of affordable baskets that contains a basket strictly preferred to $\mathbf{x}$, so the consumer does not maximize utility by choosing $\mathbf{x}$. (Monotonic utility implies local non-satiation.) Uniqueness of the optimal choice of this consumer is only guaranteed by strictly convex indifference curves. If indifference curves are convex but not strictly convex, an indifference curve might have a flat portion lying on the budget line, then the consumer maximizes utility at any point of that portion of the budget line, she is indifferent among those baskets. Or, if the consumer has strictly concave indifference curves, it can happen that she is indifferent between two disconnected baskets. See Figs. 4.5, 4.6 and 4.7.

If the solution set of the UMP always contains only one element, then the function from $(\mathbf{p}, m)$ to the optimal choice vector $\mathbf{x}$ is called the Marshallian demand function $\mathbf{x}(\mathbf{p}, m)$ of the consumer. This is a vectorial function, in fact a vector of functions $x_{i}(\mathbf{p}, m)$ each one indicating the demand function for good $i$.

# 微观经济学代考

## 经济代写|微观经济学代写Microeconomics代考|Optimization

$\max \mathbf{x} u(\mathbf{x})$ 英石 $\mathbf{p} \mathbf{x} \leq m, \mathbf{x} \in X, \mathbf{p} \in R+{ }^{n}$ 在哪里 $n$ 是考虑的商品数量。

## 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。

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