Game Theory

Instructor: David Marker

Class Meets: TR 11:00-12:15 Taft Hall 216

Office: 404 SEO

Office Hours: M 1-2, W 9-11

phone: (312) 996-3069

e-mail: marker@math.uic.edu

course webpage: http://www.math.uic.edu/~marker/stat473-S16

This webpage will be the primary source for problem sets and course handouts. There will also be a course site on UIC Blackboard where I will post solutions to homework and grade information.

- Prajit Dutta,
*Strategies and Games*, MIT Press, Cambridge, 1999.

- basic probability--expectation, Bayes rule
- basic calculus--particularly using calculus to find maximums and minimums

- Strategic games, mixed strategies, Nash equilibrium, minimax strategies in zero sum games;
- Extensive games of perfect information;
- Repeated games;
- Bayesian games;
- Extensive games of imperfect information;
- If time permits, additional topics will be chosen based on the interests of the class. Possible additional topics include evolutionary games, cooperative games and bargaining.

- There will be frequent problem sets that will be collected and graded. The two lowest grades will be dropped. Late homework will be accepted only in exceptional circumstances. For full credit problem sets must be written carefully and clearly.
- You may discuss homework problems with other students, but you must write up your solution independently.
- Solutions to Problem Sets will be posted on the course
**Blackboard**webpage.

- Problem Set 1
**Due Thursday January 21** - Problem Set 2:
**Due Thursday January 28**3.8--3.10, 3.17--3.20, 4.4, 4.7--4.11, 4.20, 4.22 - Problem Set 3
**Due Thursday February 4** - Problem Set 4
**Due Thursday February 11** - Problem Set 5
**Due Thursday February 18** - Problem Set 6
**Due Thursday March 3** - Problem Set 7
**Due Thursday March 10** - Problem Set 8
**Due Tuesday March 29** - Problem Set 9
**Due Tuesday April 5** - Problem Set 10
**Due Thursday April 14** - Problem Set 11
**Due Thursday April 21** - Problem Set 12
**Due Thursday April 28**(optional)

Midterm 1: Thursday February 25

Midterm 2: Thursday April 7

Final Exam: Monday May 2 10:30-12:30

- Week by week syllabus
- Handout: Iterated Elimination and Nash equilibrium
- Study Guide for Midterm 1
- Study Guide for Midterm 2
- Study Guide for the Final Exam
- Handout: Evolutionarily Stable Strategies
- For the material on Bayesian games, perfect Bayesian equilibrium and auctions I will only be loosely following the book. Below are some on-line resources that are closer in spirit to my lecturers.
- Game Theory in the Movies
- Game Theory on British TV Game Show

David Marker's homepage

Last Revised: 03/30/16