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Teaching activities |
Mechanism design for CS Club
Fall of 2008. The «Mechanism
design» course was substantially improved and redone for the Computer Science Club.
I thank Anton Likhodedov for the help and financial support in preparing this course.
The course materials (all slides and lecture notes are in Russian):
- 1. Introduction. Game theory. Dominant strategies. Different equilibrium concepts.
- Slides (.pdf, 806kb)
- 2. Fun examples. Prisoner's dilemma, winner's curse, tragedy of commons, dollar auction, Braess paradox. Basic definitions of mechanism design. Social choice functions, mechanisms, Pareto optimality.
- Slides (.pdf, 1077kb)
- 3. Auctions. Direct mechanisms. Equilibrium strategies in the first-price and second-price auctions. The revelation principle.
- Slides (.pdf, 1013kb)
- 4. The revenue equivalence theorem and its corollaries.
- Slides (.pdf, 553kb)
- 5. Efficient and optimal mechanisms. Vickrey–Clarke–Groves mechanisms. Budget balancing and the Arrow–d'Aspremont–Gerard–Varet mechanism.
- Slides (.pdf, 818kb)
- 6. Combinatorial auctions. Combinatorial VCG. Single-minded buyers model. O(\sqrt{M})-optimal auction (LOS) and its detailed optimality analysis.
- Slides (.pdf, 544kb)
- 7. Impossibility results. Paradoxes of voting. The Arrow impossibility theorem. The Gibbard-Satterthwaite theorem.
- Slides (.pdf, 910kb)
- 8. The Myerson-Satterthwaite impossibility theorem for bilateral trade and its generalization by Williams.
- Slides (.pdf, 452kb)
- 9. Worst-case mechanism design. Suboptimal mechanisms and benchmarks. Deterministic Optimal Price auction. Random Sampling Optimal Price auction and its optimality analysis.
- Slides (.pdf, 688kb)
- 10. Lower bounds on worst-case optimality. Online auctions. Reduction to expert learning and Kalai algorithm.
- Slides (.pdf, 588kb)
- 11. Selling keywords: Overture (Yahoo), Google, and the laddered auction. Buying keywords: landscapes, budget optimization, and optimal uniform probabilistic bidding strategies.
- Slides (.pdf, 771kb)
- 12. Applying mechanism design to real-time online scheduling. Algorithm TD1. A truthful mechanism for online scheduling.
- Slides (.pdf, 485kb)
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