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这是爱丁堡大学博弈论课程的代写成功案例。
CS4课程简介
This is an MSc (and 4th year) course that runs in Semester 2 (Spring 2023). The lecturer is Kousha Etessami. Some of the information below is still from the prior year, 2022. It will be updated during the course. The lecture times for the course are Mondays and Thursdays, 11:10-12:00 (Edinburgh time). The lectures will be recorded and posted online. There will also be weekly toturials, starting in Week 3. These will cover and discuss the contents of the weekly tutorial sheet. There is also a Piazza Discussion Forum for the course, accessible from the LEARN page, where you can post questions and discuss the course content with fellow students (but DO NOT share answers to coursework). The times are indicated under “Timetable” on the AGTA course DPT on the DRPS web pages the tutorial time slots may be subject change at the beginning of the course.
Prerequisites
No required reading.
Reference texts for the entire course see slides of lecture 1 for a more comprehensive list):
M. Maschler, E. Solan, and S. Zamir, Game Theory , Cambridge U. Press, 2013.
(Available online from the University Library.
K. Leyton-Brown and Y. Shoham, “Essentials of Game Theory”, 2008 . A short book, available electronically from the Edinburgh University Library.
N. Nisan, T. Roughgarden, E. Tardos, and V. Vazirani, Algorithmic Game Theory, Cambridge U. Press, 2007.
Available online from the University library.
Y. Shoham and K. Leyton-Brown, “Multi-agent Systems: algorithmic, game-theoretic, and logical foundations”, 2009. (MAS) A longer book on MAS, also available online. The main focus of the book is game theory.
T. Roughgarden. Twenty Lectures on Algorithmic Game Theory, Cambridge U. Press, 2016.
Available online from the University library.
CS4 Game theory HELP（EXAM HELP， ONLINE TUTOR）
Is the game with pay-off matrix shown below strictly determined? Why or why not?
$$
\left[\begin{array}{ccc}
1 & 3 & -2 \
5 & -4 & -1
\end{array}\right]
$$
Find the value of the strictly determined matrix game below. Is it fair?
$$
\left[\begin{array}{ccccc}
1 & 0 & 5 & -1 & 4 \
2 & -3 & -1 & -3 & 2 \
1 & 2 & 6 & 0 & 3
\end{array}\right]
$$
Suppose we play a finger matching game. We both (simultaneously) show either one or two fingers. If we are showing the same number of fingers, then you must pay me one dollar for each finger shown. If we are showing different numbers of fingers, then I must pay you a dollar for each finger shown.
(a) What is the pay-off matrix for this game?
(b) Explain why this game is not strictly determined.
(c) Use the formulas
$$
\begin{aligned}
p & =\frac{d-c}{a+d-b-c} \
q & =\frac{d-b}{a+d-b-c}
\end{aligned}
$$
to find the optimal strategies for each player. Describe those strategies in words.
(d) What is the value of the game? Is this game fair?
In the game of “Chicken”, each player can either drive straight or swerve. Is this game a zero-sum game? Explain your answer.
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