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数学代写|CS4 Game theory

MY-ASSIGNMENTEXPERT™可以为您提供 inf.ed.ac.uk CS4 Game theory博弈论的代写代考辅导服务!

这是爱丁堡大学博弈论课程的代写成功案例。

数学代写|Math111 Game theory

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)

问题 1.

Homework 1. Compute mixed Nash equilibria in the Game of chicken and formally show that no other Nash equilibria exist in this game.

问题 2.

Homework 2. Watch the scene from A Beautiful Mind where the John Nash character played by Russell Crowe explains what a Nash equilibrium is. Assume that the scenario described is modeled as a game with four players (the men), each with the same five actions (the women). Explain why the solution proposed in the movie is not a Nash equilibrium.

问题 3.

Homework 3. There are $n \geq 2$ people on the street who all notice an injured man. Each one of them has two possible actions, either helping the injured man or not. If nobody helps the man, everybody gets payoff 0 . If somebody helps, all get payoff 1 , but anybody who offered help has to subtract $c$ from his payoff, where $0<c<1$. Find a symmetric Nash equilibrium of this game, that is, equilibrium where all players use the same strategy. What is the probability the man is helped at all? Is it good for the injured man to have more witnesses around?

问题 4.

Homework 4. Consider the game in which two players choose non-negative integers of size at most 1000. Player 1 chooses an even integer, while player 2 chooses an odd integer. When the players announce their number, the player who chose the lower number wins the number he announced in dollars. Find a Nash equilibrium of this game.

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