Course: MATH 167, Game Theory, Lecture 1, Winter 2016
Prerequisite: Math 115A.
Course Content: Quantitative modeling of strategic interaction. Topics include impartial games, partisan games, zero sum games, von Neumann's Minimax Theorem, general sum games, Nash equilibrium, fixed point theorems, evolutionary game theory, signaling, coalitions, auctions, social choice theory, and quantum games.
Last update: 21 February 2016

Instructor: Steven Heilman, heilman(@-symbol)
Office Hours: Fridays, 9AM-11AM, MS 5634
Lecture Meeting Time/Location: Monday, Wednesday and Friday, 11AM-1150AM, Geology 4645
TA: William Rosenbaum,
TA Office Hours: Mondays 1PM-2PM, MS 6603
TA Course Website: Here
Discussion Session Meeting Time/Location: Tuesday, 11AM-1150AM, Geology 4645
Required Textbook: Yuval Peres, Game Theory, Alive. (The book is freely available online)
Other Textbooks (not required): Game Theory, Maschler, Solan and Zamir. Compared to the book of Peres, this book is larger and more comprehensive. However, it is also a more advanced textbook, so it might be difficult to read if you have not taken several advanced math classes such as 131A, 131B and 131C.
See also the Game Theory book of Thomas S. Ferguson
A more recent draft of the textbook Game Theory, Alive, by Anna R. Karlin and Yuval Peres, is also available online, with a more comprehensive treatment and less typos, though probabilistic notation is used. Since probability is not a prerequisite for this class, we will not use this more recent draft version. If you have taken probability, you may prefer this version of the book, though.
First Midterm: Monday, January 25, 11AM-1150AM, Pub Aff 2214
Second Midterm: Friday, February 19, 11AM-1150AM, Pub Aff 1246
Final Exam: Friday, March 18, 8AM-11AM, Boelter 2444
Other Resources: An introduction to mathematical arguments, Michael Hutchings, An Introduction to Proofs, How to Write Mathematical Arguments
Email Policy:

Exam Procedures: Students must bring their UCLA ID cards to the midterms and to the final exam. Phones must be turned off. Cheating on an exam results in a score of zero on that exam. Exams can be regraded at most 15 days after the date of the exam. This policy extends to homeworks as well. All students are expected to be familiar with the UCLA Student Guide to Academic Integrity. If you are an OSD student, I would encourage you to discuss with me ways that I can improve your learning experience; I would also encourage you to contact the OSD office to confirm your exam arrangements at the beginning of the quarter.
Exam Resources: Here is a page containing practice exams for another 167 class. Here is a page containing practice exams for another 167 class. Here is a page containing a practice midterm for another 167 class. Here is a page containing a practice final for another game theory class. Occasionally these exams will cover slightly different material than this class, or the material will be in a slightly different order.

Homework Policy: Grading Policy:

Tentative Schedule: (This schedule may change slightly during the course.)

Week Monday Tuesday Wednesday Thursday Friday
1Jan 4: 1.1, Impartial Games Jan 5: Homework 0 (ungraded) Jan 6: 1.1.1, 1.1.2, Chomp, Nim Jan 8: 1.1.3, Sprague-Grundy Theorem
2 Jan 11: 1.2, Partisan Games Jan 12: Homework 1 due Jan 13: 1.2.1, Hex Jan 15: 2.1, Two-Person Zero Sum Games
3 Jan 18: No class Jan 19: Homework 2 due Jan 20: 2.2, Minimax Theorem, Background Jan 22: 2.2, Minimax Theorem
4 Jan 25: Midterm #1 Jan 26: No homework due Jan 27: 2.3, Domination Jan 29: Leeway
5 Feb 1: 3.1, General Sum Games Feb 2: Homework 3 due Feb 3: 3.2, Nash equilibria Feb 5: 3.3, Correlated equilibria
6 Feb 8: 3.6, Fixed Point Theorems Feb 9: Homework 4 due Feb 10: 3.5, Nash's Theorem Feb 12: 3.7, Evolutionary Game Theory
7 Feb 15: No class Feb 16: Homework 5 due Feb 17: 3.8, Signaling and Asymmetric Information Feb 19: Midterm #2
8 Feb 22: 4.1, Coalitions and Shapley Value Feb 23: Homework 6 due Feb 24: 5.1, Mechanism design Feb 26: 5.2, Auctions
9 Feb 29: 6.1,6.2, Social Choice Mar 1: Homework 7 due Mar 2: 6.3, Arrow's impossibility theorem Mar 4: Influences, Fourier analysis
10 Mar 7: Noise Sensitivity Mar 8: Homework 8 due Mar 9: Quantum Games Mar 11: CHSH inequality, Bell's inequality

Advice on succeeding in a math class:

Homework Exam Solutions Supplementary Notes