Posted on Categories:Game theory , 博弈论, 经济代写

# 经济代写|博弈论代考Game theory代写|The Concept of Efficiency

## avatest™帮您通过考试

avatest™的各个学科专家已帮了学生顺利通过达上千场考试。我们保证您快速准时完成各时长和类型的考试，包括in class、take home、online、proctor。写手整理各样的资源来或按照您学校的资料教您，创造模拟试题，提供所有的问题例子，以保证您在真实考试中取得的通过率是85%以上。如果您有即将到来的每周、季考、期中或期末考试，我们都能帮助您！

•最快12小时交付

•200+ 英语母语导师

•70分以下全额退款

## 经济代写|博弈论代考Game theory代写|The Concept of Efficiency

The first strategic tension relates to the economic concept of efficiency, which is an important welfare criterion by which to judge behavior in a game. Suppose we wish to compare the outcomes induced by two strategy profiles, $s$ and $s^{\prime}$. We say that $s$ is more efficient than $s^{\prime}$ if all of the players prefer the outcome of $s$ to the outcome of $s^{\prime}$ and if the preference is strict for at least one player. In mathematical terms, $s$ is more efficient than $s^{\prime}$ if $u_i(s) \geq u_i\left(s^{\prime}\right)$ for each player $i$ and if the inequality is strict for at least one player. ${ }^6$

A strategy profile $s$ is called efficient if there is no other strategy profile that is more efficient; that is, there is no other strategy profile $s^{\prime}$ such that $u_i\left(s^{\prime}\right) \geq u_i(s)$ for every player $i$ and $u_j\left(s^{\prime}\right)>u_j(s)$ for some player $j$. The expression Pareto efficient is used to mean the same thing. Note that, in the prisoners’ dilemma, $(C, C)$ is more efficient than (D, D). Furthermore, (C, C), (C, D), and (D, C) are all efficient strategy profiles. In the game pictured in Figure 6.1(c), (D, R) is more efficient than both (M, L) and (U, R). In this game, (U, L) and (D, L) are the only efficient strategy profiles.

## 经济代写|博弈论代考Game theory代写|Best Response

It seems reasonable that rational people refrain from using dominated strategies. Dominance is a good descriptive and prescriptive concept. But it is just the beginning of our development of a theory of behavior. Indeed, in most games, players have more than one undominated strategy. Take, as an example, some of the simple games in Figure 3.4. Matching pennies, the battle of the sexes, and the coordination games have no dominated strategies, so one cannot predict how people should or will play these games on the basis of the dominance criterion. We must move on to explore the process by which players actually select their strategies, at least among those that are not dominated.

Rational folks think about the actions that the other players might take; that is, people form beliefs about one another’s behavior. In games, it is wise to form an opinion about the other players’ behavior before deciding your own strategy. For example, if you were to play the coordination game pictured in Figure 3.4 and you thought that the other player would definitely play strategy B, it would be prudent for you to play $\mathrm{B}$ as well. If you thought he would select $\mathrm{A}$, then you should follow suit. To maximize the payoff that you expect to obtain-which we assume is the mark of rational behavior-you should select the strategy that yields the greatest expected payoff against your belief. Such a strategy is called a best response (or best reply). Formally,
Suppose player $i$ has a belief $\theta_{-i} \in \Delta S_{-i}$ about the strategies played by the other players. Player $i$ ‘s strategy $s_i \in S_i$ is a best response if $u_i\left(s_i, \theta_{-i}\right) \geq u_i\left(s_i^{\prime}, \theta_{-i}\right)$ for every $s_i^{\prime} \in S_i$.

# 博弈论代写

## 经济代写|博弈论代考Game theory代写|Best Response

avatest.org 为您提供可靠及专业的论文代写服务以便帮助您完成您学术上的需求，让您重新掌握您的人生。我们将尽力给您提供完美的论文，并且保证质量以及准时交稿。除了承诺的奉献精神，我们的专业写手、研究人员和校对员都经过非常严格的招聘流程。所有写手都必须证明自己的分析和沟通能力以及英文水平，并通过由我们的资深研究人员和校对员组织的面试。

## 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。