# STATISTICS 473/ECONOMICS 473

Game Theory

## Fall 2017

Instructor: David Marker

Class Meets: TR 11:00-12:15 Lincoln Hall 312

Office: 404 SEO

Office Hours: Mon 2:30-4:30, Wed 1:30-3:00

phone: (312) 996-3069

e-mail: marker@uic.edu

course webpage: http://www.math.uic.edu/~marker/stat473-F17

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.
### Text

- J. Harrington,
* Games, Strategies and Decision Making *, Worth, 2015.

Another useful book is Steven Tadelis, * Game Theory: An Introduction*, Princeton University Press, New York, Oxford, 2013.
### Prerequisites

The formal mathematical prerequisites are minimal, but the
course will be fairly rigorous and will require the ability to follow closely reasoned
arguments and solve problems.
Students should have some familiarity with
- basic probability--expectation, Bayes rule
- basic calculus--particularly using calculus to find maximums and minimums

If you are unsure if you have necessary background, please consult with the instructor.
### Description

Game Theory is the study of mathematical models of strategic decision making
with interacting decision makers.
This course will introduce the main concepts and tools of the subjects. The course will focus more on
concepts and illustrative examples than mathematical theory
The topics covered will include:
- Strategic games, mixed strategies, Nash equilibrium, duopoly;
- 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.

For more details consult the week-by-week syllabus
### Problem Sets

- 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.
- The text contains many
* Check Your Understanding* problems with solutions in the back. Doing these problems is probably the best way to study the material.

- Problem Set 1
** Due Thursday September 7**
- Problem Set 2: Do Chapter 3 Problems 3, 5, 7, 8, 9, 10
** Due Thursday September 14**
- Problem Set 3
** Due Thursday September 21**
- Problem Set 4
** Due Thursday September 28**

### Grading

There will be two midterm exams and a final. The final grade will be based 20% on the problem sets, 25% for each midterm exam and 30% on the final.

Midterm 1: Thursday October 12

Midterm 2: Tuesday November 21

Final Exam: Monday December 11, 10:30-12:30
### Handouts and Useful Links

Game Theory in the Movies
Game Theory on British TV Game Show

David Marker's homepage

Last Revised: 9/6/17