Date  Topic  Materials  
8/28, 8/30  Course at a glance. 
Slides: ppt, pdf. Homework 0 out. Optional: CACM overview article. Just in case it's of interest: vision paper for our lab. 

Part 0: Basic techniques from computer science.  
8/309/11  Linear programming. (Mixed) integer linear programming. 
Slides: ppt, pdf. Example files: painting.lp, painting.mod, knapsack.lp, knapsack_simple.mod, knapsack.mod, cell.lp, cell.mod, hotdog.mod, sudoku.mod. SLB Appendices A, B. Programming assignment 1 out. Guide to the modeling language. Here are also lecture notes I wrote those for a course on linear and integer programming; if you want to learn more about these topics there may be some useful resources on that course's website. 

9/13  we mostly skipped this, but you do need to know this and are encouraged to look through the slides and play with the MathProg files. Please let us know if you have questions.  Computational problems. Algorithms. Runtime of algorithms. Easy and hard problems. 
Slides: ppt, pdf. Sorting algorithms spreadsheet. Example files: set_cover.mod, set_cover2.mod, matching.mod. Optional: CACM article on P vs. NP. 

Part 1: Expressive marketplaces.  
9/139/20  Singleitem auctions. Combinatorial auctions. Bidding languages. Winner determination problem. Variants (reverse auctions, exchanges). 
Slides: ppt, pdf. Note: we are not going in the same order as the book on these topics. The book does mechanism design before getting into auctions. I'm pointing out the chapters that are associated with each topic, but for reading purposes you may prefer following the order of the book for the next few lectures, reading mechanism design (Ch. 10) before auctions (Ch. 11), and singleitem auctions and their analysis before combinatorial auctions. SLB 11.3.111.3.4, 11.4.1. Optional: 11.2, 11.3.5, Conitzer chapter on auctions, Lehmann et al. chapter on winner determination, Sandholm chapter on optimal winner determination. 

9/25, 9/27  Expressive financial securities. 
Slides: ppt, pdf. SLB 10.4.2. Programming assignment 2 out. Partial solution to graph winner determination problem, for first problem. Optional: Paper 1, paper 2, paper 3. Article about Predictalot. 

9/27  Barter exchanges/matching markets. Kidney exchange. 
Slides: ppt, pdf. Paper (you do not need to understand all the details about constraint and column generation). 

10/210/9  Voting and social choice. 
Homework 3 out. Slides: ppt, pdf. SLB Chapter 9 (9.5 is optional). Optional (if you really like this): chapter on computational social choice. If you like it even more then there is also this textbook. 

Part 2: Game theory.  
10/9  Risk neutrality and risk aversion. Expected utility theory. 
Slides: ppt, pdf. SLB Section 3.1. 

10/9  Games in normal form. Dominance and iterated dominance. Computing dominated strategies. Minimax strategies. Computing minimax strategies. Nash equilibrium. Computing Nash equilibria. 
Homework 4 out. Slides: ppt, pdf. Screenshot (the "board") from lecture. SLB 3.2, 3.4.3, 4.5; 3.3.13.3.3, 3.4.1, 4.1, 4.2.1, 4.2.3, 4.2.4, 4.4. Optional (including the papers): 3.3.4, 4.2.2; 3.4.5, 4.6. Paper on computing dominated strategies. (You can skip the part on Bayesian games.) Paper on computing Nash equilibria. (You only need to read the part concerning 2player games.) Paper on computing special kinds of Nash equilibria. (You can skip everything from Bayesian games on.) 

10/30  Midterm review.  Practice midterm. Whiteboard with solutions. (T/F answers are TFTTTTTFFF.)
More practice questions: ppt, pdf. 

11/1  Midterm.  
11/6, 11/8  Games in extensive form. Backwards induction. Subgame perfect equilibrium. Imperfect information. Equilibrium refinements. Computing equilibria. Poker. 
Slides: ppt, pdf. Optional (including the paper): 5.2.3. Paper on finding optimal strategies to commit to. 

Part 3: Mechanism design.  
11/811/15  Bayesian games. Auctions revisited. 
Homework 5 out. Slides: ppt, pdf. SLB 6.3, 11.1.111.1.8. Optional: 11.1.9, 11.1.10.  
11/1511/20  Incentive compatibility. Individual rationality. Revelation principle. Clarke mechanism. Groves mechanisms. 
Slides: ppt, pdf. SLB 10.110.4. Optional: rest of chapter 10. Article on the Swoopo auction. 

11/1511/20  Incentive compatibility. Individual rationality. Revelation principle. Clarke mechanism. Groves mechanisms. 
Slides: ppt, pdf. SLB 10.110.4. Optional: rest of chapter 10. Article on the Swoopo auction. 

11/27  Automated mechanism design. 
Slides: ppt, pdf. Optional: Chapter on automated mechanism design, read up to and including 6.6.  
11/29  Foundations of cooperative AI. 
Slides: ppt, pdf. Optional: foundations of cooperative AI vision paper. More publications from FOCAL. 

12/4, 12/6  Final review.  Practice final 1.
Solutions: 1, 2.
Practice final 2. Solutions: 1, 2, 3. 