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|ECO467 An even simpler model

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## 经济代写|博弈论代考Game theory代写|An even simpler model

The next model simplifies Poker even more by replacing Von Neumann’s numerical cards by a deck with only the King, Queen, and Jack of Hearts. However, Figure 23 shows that the maximin strategies still look like those in Von Neumann’s model.
The chance move that begins the game tree in Figure 24 represents the dealer shuffling the deck into one of six equally likely orders. The top card is then dealt to Alice, and the second card to Bob. The rest of the game tree then shows Von Neumann’s betting rules in operation with the new deck of cards.
The game tree looks so formidable that you will probably be surprised to find that you know everything you need to solve the game. First delete dominated strategies by thickening branches that are obviously better than their rivals. For example, Alice should check when holding the Queen, because Bob only calls when he has her beat. Only two decisions then remain in doubt. Does Alice bluff when holding the Jack? Does Bob call when holding the Queen?

Figure 25 shows all the pure strategies of the game, but only the shaded part of the strategic form matters, because the strategies that don’t correspond to the shaded part are dominated. The figure also shows a close-up of the shaded part. We can work out the mixed Nash equilibrium of this game by finding what strategies Alice and Bob must use to make their opponent indifferent. It turns out that Alice should play $R C R$ (raise when holding the Jack) with probability $1 / 3$. Bob should play $C C F$ (call when holding the Queen) with probability 1/3.

## 经济代写|博弈论代考Game theory代写|Types

According to the philosopher Hobbes, man is characterized by his strength of body, his passions, his experience, and his reason. In game theory, Alice’s strength of body is determined by the rules of the game. Her passions translate into her preferences, and her experience into her beliefs. Her reason leads her to behave rationally.

These four properties determine a player’s type. Unless someone says otherwise, a rational analysis of a game takes for granted that the types of all the players are common knowledge. This very large assumption is sometimes emphasized by saying that information is complete in a game.

When is it reasonable to assume that information is complete? A game like Chess creates no problem, but what about Chicken? Is it really likely that Alice will know Bob’s degree of risk aversion sufficiently well to work out his payoffs? What will Bob believe about her payoffs? What will Alice believe about what Bob believes about her payoffs?

# 博弈论代写

## 经济代写|博弈论代考Game theory代写|Types

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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。