NOC:Introduction to Game Theory and Mechanism Design

Lecture 1 - Introduction: Game Theory

Lecture 2 - Introduction: Mechanism Design

Lecture 3 - The game of chess

Lecture 4 - Proof of the chess theorem

Lecture 5 - Normal form games

Lecture 6 - Dominance

Lecture 7 - Nash equilibrium

Lecture 8 - Maxmin strategies

Lecture 9 - Elimination of dominated strategies

Lecture 10 - Preservation of PSNE

Lecture 11 - Matrix games

Lecture 12 - Relation between Maxmin and PSNE in matrix

Lecture 13 - Mixed strategies

Lecture 14 - Mixed strategy Nash equilibrium (MSNE)

Lecture 15 - Find MSNE

Lecture 16 - MSNE characterization theorem proof

Lecture 17 - Algorithm to find MSNE

Lecture 18 - Correlated equilibrium (CE)

Lecture 19 - Computing correlated equilibrium

Lecture 20 - Extensive form games

Lecture 21 - Subgame perfection

Lecture 22 - Limitations of SPNE

Lecture 23 - Imperfect Information Extensive Form Games (IIEFG)

Lecture 24 - Strategies in IIEFGs

Lecture 25 - Equivalence of Strategies in IIEFGs

Lecture 26 - Perfect Recall

Lecture 27 - Equilibrium in IIEFG

Lecture 28 - Game Theory in Practice: P2P file sharing

Lecture 29 - Bayesian Games

Lecture 30 - Strategy, Utility in Bayesian Games

Lecture 31 - Equilibrium in Bayesian Games

Lecture 32 - Examples of Bayesian Equilibrium

Lecture 33 - Introduction to Mechanism Design

Lecture 34 - Revelation Principle

Lecture 35 - Introduction to Arrow's Impossibility Result

Lecture 36 - Proof of Arrow's Result

Lecture 37 - Introduction to the Social Choice Setup

Lecture 38 - Introduction to Gibbard-Satterthwaite Theorem

Lecture 39 - Proof of Gibbard-Satterthwaite Theorem

Lecture 40 - Domain Restriction

Lecture 41 - Median Voting Rule

Lecture 42 - Median Voter Theorem - Part 1

Lecture 43 - Median Voter Theorem - Part 2

Lecture 44 - The Task Sharing Domain

Lecture 45 - The Uniform Rule

Lecture 46 - Mechanism Design with Transfers

Lecture 47 - Examples of Quasi-linear Preferences

Lecture 48 - Pareto Optimality and Groves Payments

Lecture 49 - Introduction to VCG Mechanism

Lecture 50 - VCG in Combinatorial Allocations

Lecture 51 - Applications to Internet Advertising

Lecture 52 - Slot Allocation and Payments in Position

Lecture 53 - Pros and Cons of VCG Mechanism

Lecture 54 - Affine Maximizers

Lecture 55 - Single Object Allocation

Lecture 56 - Myerson's Lemma

Lecture 57 - Illustration of Myerson's Lemma

Lecture 58 - Optimal Mechanism Design

Lecture 59 - Single Agent Optimal Mechanism Design

Lecture 60 - Multiple Agent Optimal Mechanism Design

Lecture 61 - Examples of Optimal Mechanisms

Lecture 62 - Endnotes and Summary