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Sergey Nikolenko

Sergey Nikolenko

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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.
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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.
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3. Auctions. Direct mechanisms. Equilibrium strategies in the first-price and second-price auctions. The revelation principle.
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4. The revenue equivalence theorem and its corollaries.
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5. Efficient and optimal mechanisms. Vickrey–Clarke–Groves mechanisms. Budget balancing and the Arrow–d'Aspremont–Gerard–Varet mechanism.
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6. Combinatorial auctions. Combinatorial VCG. Single-minded buyers model. O(\sqrt{M})-optimal auction (LOS) and its detailed optimality analysis.
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7. Impossibility results. Paradoxes of voting. The Arrow impossibility theorem. The Gibbard-Satterthwaite theorem.
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8. The Myerson-Satterthwaite impossibility theorem for bilateral trade and its generalization by Williams.
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9. Worst-case mechanism design. Suboptimal mechanisms and benchmarks. Deterministic Optimal Price auction. Random Sampling Optimal Price auction and its optimality analysis.
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10. Lower bounds on worst-case optimality. Online auctions. Reduction to expert learning and Kalai algorithm.
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11. Selling keywords: Overture (Yahoo), Google, and the laddered auction. Buying keywords: landscapes, budget optimization, and optimal uniform probabilistic bidding strategies.
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12. Applying mechanism design to real-time online scheduling. Algorithm TD1. A truthful mechanism for online scheduling.
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