Games you can play. Includes Chomp!, Fibonacci Nim, Moore's Nim, Dawson's Chess, Dots and Boxes, and Dominotion.

Garrison Hansen's combinatorial games. (A project for Math 5750, Spring 2011.)

Stuart Schulthies's games. (A project for Math 5750, Spring 2015.)

Matrix game solver (five decimal places).

Bimatrix game solver (12 decimal places, and exact; up to 15 x 15). This is excellent!

- Week 1 (Jan. 11, 13, 15). Lecture 1, course overview. We finished Section 1 of Part I (Take away games). Assignment 1: page I-6, Exercises 2, 3, 4. If you want something more challenging, try Exercise 7, but do not turn it in.
- Week 2 (Jan. 20, 22). We studied the game of Nim. Assignment 2: page I-11, Exercises 2, 3, 5.
- Week 3 (Jan. 25, 27, 29). We proved the Sprague-Grundy theorem (Section 4 of Part I). Assignment 3: page I-19, Exercise 5; page I-26, Exercises 3, 5.
- Week 4 (Feb. 1, 3, 5). We started Part II, covering Chapter 1. Assignment 4: page I-26, Exercise 6; page II-8, Exercises 2, 4. In Exercise 4, to avoid possible misinterpretation, note that the phrase, "I let you off with a payment of a dime," means that Olaf pays Alex 10 cents.
- Week 5 (Feb. 8, 10, 12). We discussed the game of Le Her (not in our textbook), and we finished Section 2.2 of Part II. Assignment 5: page II-15, Exercises 2, 5, 6.
- Week 6 (Feb. 17, 19). We covered the Indifference Principle. The game of baccara chemin de fer was briefly discussed. See baccara for more info. (There is a typo in Table 5.5, namely the two columns are reversed but the column headings are correct.) Complete solutions of all problems in the book are now available at http://www.math.ucla.edu/~tom/Game_Theory/Contents.html. Therefore, we will not assign problems from the book from now on. Assignment 6: click here.
- Week 7 (Feb. 22, 24, 26). We finished Chapter 3 of Part II, omitting Section 3.6. Midterm exam next week on what we have covered so far. Assignment 7: click here.
- Week 8 (Feb. 29, Mar. 2, 4). We proved the Minimax Theorem and had the midterm exam. Solutions. No new assignment this week.
- Week 9 (Mar. 7, 9, 11). We studied the extensive form of a game (Part II, Chapter 5). Assignment 8: click here.
- Week 10 (Mar. 21, 23, 25). We began Part III, getting through the definition of Nash equilibrium. Assignment 9: click here.
- Week 11 (Mar. 28, 30, Apr. 1). We finished Part III, Chapter 2 (noncooperative games), and began Part III, Chapter 4 (cooperative games), skipping applications to economics. Assignment 10: click here.
- Week 12 (Apr. 4, 6, 8). We finished Part III, Chapter 4 (cooperative games). A graph used in class for the example in eq. (11) on page III-36 is here. Assignment 11: click here.
- Week 13 (Apr. 11, 13, 15). We covered Part IV (games in coalitional form) through Chapter 2 (Imputations and the Core). Assignment 12 (last one): click here. Note: For Exercise 3, you will need concepts from Chapter 3 (Shapley Value), to be covered Monday, Apr. 18.
- Week 14 (Apr. 18, 20, 22). We covered Part IV, Chapter 3 (Shapley value).
- Week 15 (Apr. 25). Review.

Final exam. Solutions.

Notes on final exam: The median score was 79. There were 3 100s (GA, MD, WS) and 2 99s (HK, TM). (Congratulations!) Problem 4 was interpreted as asking for all PNEs and at least one NE that is not a PNE. (There is more than one.)