Game Theory 2019 (February-March)


Game theory is the study of mathematical models to analyse strategic interactions between rational agents. Game-theoretical analysis plays a role in a wide variety of disciplines, ranging from Economics and Political Science to Psychology, Biology, Linguistics, Artificial Intelligence, Computer Science, Logic, and Philosophy. This course will be an introduction to this fascinating field. The focus will be on the mathematical properties of games. We will cover both cooperative and noncooperative games, and also briefly introduce the basic notions of mechanism design.

Prerequisites: I will expect what sometimes is called mathematical maturity, meaning that you should have some experience with writing up mathematical proofs.

Literature: The main reference for this course is the book Essentials of Game Theory by Kevin Leyton-Brown and Yoav Shoham (Morgan & Claypool Publishers, 2008). I will also recommend additional readings, most of them classical papers.

LectureSlidesReadingsHomework
1 Tuesday, 5 February 2019 Introduction Essentials, Chapters 1 & 2 IPD Tournament (due: 8 February 2019)
2 Thursday, 7 February 2019 Nash Equilibria Essentials, Chapters 1 & 2
Nash (1951)
Homework #1 (due: 12 February 2019)
3 Tuesday, 12 February 2019 Congestion Games Rosenthal (1973)
4 Thursday, 14 February 2019 More Solution Concepts Essentials, Chapter 3 Homework #2 (due: 19 February 2019)
5 Tuesday, 19 February 2019 Zero-Sum Games Essentials, Chapter 3
Robinson (1951)
6 Thursday, 21 February 2019 Bayesian Games Essentials, Chapter 7
Harsanyi (1967)
Homework #3 (due: 26 February 2019)
7 Tuesday, 26 February 2019 Extensive Games Essentials, Chapter 4
8 Thursday, 28 February 2019 Imperfect-Information Games Essentials, Chapter 5
Kuhn (1953)
Homework #4 (due: 5 March 2019)
9 Tuesday, 5 March 2019 Auctions McAfee & McMillan (1987)
10 Thursday, 7 March 2019 More Mechanism Design Nisan (2007) [Chapter 9] Homework #5 (due: 12 March 2019)
11 Tuesday, 12 March 2019 Stability in Coalitional Games Essentials, Chapter 8
12 Thursday, 14 March 2019 Fairness in Coalitional Games Shapley (1953)
13 Tuesday, 19 March 2019 Hedonic Games Bogomolnaia & Jackson (2002) Homework #6 (due: ?? March 2019)
14 Thursday, 21 March 2019 Matching Gale & Shapley (1962)