19th Ave New York, NY 95822, USA

# 经济代写|博弈论代考GAME THEORY代写|ECON40010 Nash folk theorems

my-assignmentexpert™提供最专业的一站式服务：Essay代写，Dissertation代写，Assignment代写，Paper代写，Proposal代写，Proposal代写，Literature Review代写，Online Course，Exam代考等等。my-assignmentexpert™专注为留学生提供Essay代写服务，拥有各个专业的博硕教师团队帮您代写，免费修改及辅导，保证成果完成的效率和质量。同时有多家检测平台帐号，包括Turnitin高级账户，检测论文不会留痕，写好后检测修改，放心可靠，经得起任何考验！

## 经济代写|博弈论代考Game theory代写|Nash folk theorems

Aumann and Shapley [6] proved the Nash folk theorem for limit of means. We state it for limiting means.

Theorem 7.3. For every feasible, enforceable payoff profile $w$ there exists a Nash equilibrium of $G$ with limiting means utilities whose associated payoff profile is $w$.

The construction of these equilibria involves punishing: players all play some equilibrium, and if anyone deviates the rest punish them.

Proof of Theorem 7.3. Let $w_i=\sum_{a \in A} \alpha_a \cdot u_i(a)$. Let $\left(a^1, a^2, \ldots\right)$ be a sequence in $A$ such that, for each $a \in A$, the fraction of periods in which $a^t$ is equal to $a$ tends to $\alpha_a$, i.e.,
$$\lim _{t \rightarrow \infty} \frac{\left|\left{\tau \leq t: a^\tau=a\right}\right|}{t}=\alpha_a .$$

## 经济代写|博弈论代考Game theory代写|Perfect folk theorems

Consider the following base game (taken from Osborne and Rubinstein [29]):
\begin{tabular}{c|c|c|}
& \multicolumn{1}{c}{$D$} & \multicolumn{1}{c}{$C$} \
\cline { 2 – 3 }$D$ & 0,1 & 0,1 \
\cline { 2 – 3 }$C$ & 1,5 & 2,3 \
\cline { 2 – 3 } & &
\end{tabular}
Here, an equilibrium built in Theorems 7.3 and 7.4 that achieves payoff profile $(2,3)$ has the players playing $(C, C)$ on the equilibrium path, and punishing by playing $D$ forever after a deviation. Note, however, that for the row player, action $D$ is strictly dominated by $C$. Hence this equilibrium is not a subgame perfect equilibrium: regardless of what the column player does, the row player can increase her subgame utility by at least 1 by always playing $C$ rather than $D$. It is therefore interesting to ask if there are subgame perfect equilibria that can achieve the same set of payoff profiles.

# 博弈论代写

## 经济代写|博弈论代考GAME THEORY代写|PERFECT FOLK THEOREMS

\begin{tabular}{c|c|c|}
& \multicolumn{1}{c}{$D$} & \multicolumn{1}{c}{$C$} \
\cline { 2 – 3 }$D$ & 0,1 & 0,1 \
\cline { 2 – 3 }$C$ & 1,5 & 2,3 \
\cline { 2 – 3 } & &
\end{tabular}

## 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。