NOC:Algorithmic Game Theory

Lecture 1 - Introduction

Lecture 2 - Assumptions of Game Theory

Lecture 3 - Examples of Games

Lecture 4 - Equilibrium Concepts

Lecture 5 - Nash Equilibrium

Lecture 6 - Indifference Principle

Lecture 7 - Security of Players

Lecture 8 - Minmax Theorem

Lecture 9 - Implications of Minmax Theorem

Lecture 10 - MSNEs of Matrix Games

Lecture 11 - Iterative Eliminations of Dominated Strategies

Lecture 12 - Iterative Eliminations of Dominated Strategies (Continued...)

Lecture 13 - Braess's paradox

Lecture 14 - Yao's Lemma and its applications

Lecture 15 - Support Enumeration Algorithm

Lecture 16 - Succinct game

Lecture 17 - Potential Games

Lecture 18 - Best Response Dynamics

Lecture 19 - Fast Convergence of Best Response Dynamics

Lecture 20 - Computing ε-PSNE for Network Congestion Games

Lecture 21 - PSNE for Congestion Games

Lecture 22 - PSNE for Symmetric Congestion Games

Lecture 23 - Functional NP

Lecture 24 - PPAD Class

Lecture 25 - Sperner's Lemma

Lecture 26 - Approximate MSNE Computation

Lecture 27 - Correlated Equilibrium

Lecture 28 - Coarse Correlated Equilibrium

Lecture 29 - External Regret Framework

Lecture 30 - Multiplicative Weight Algorithm

Lecture 31 - Multiplicative Weight Algorithm (Continued....)

Lecture 32 - Swap Regret and Correlated Equilibrium

Lecture 33 - Swap Regret to External Regret Reduction

Lecture 34 - Braess's paradox and Pigou's Network

Lecture 35 - PoA of Selfish Routing Game

Lecture 36 - PoA of Selfish Load Balancing Game

Lecture 37 - Bayesian Game

Lecture 38 - BNE of First Price Auction

Lecture 39 - Extensive Form Game

Lecture 40 - Mechanism Design Introduction

Lecture 41 - Implementation of Social Choice Functions

Lecture 42 - Revelation Principle

Lecture 43 - Properties of Social Choice Function

Lecture 44 - Gibbard-Satterthwaite Theorem

Lecture 45 - Quasilinear Environment

Lecture 46 - Ex-Post Efficiency

Lecture 47 - VCG Mechanism

Lecture 48 - Example of VCG Mechanism

Lecture 49 - Weighted VCG

Lecture 50 - Affine Maximizer

Lecture 51 - Recap of Topics Discussed so Far

Lecture 52 - Single Parameter Domain

Lecture 53 - DSIC in Single Parameter Domain

Lecture 54 - Mayerson's Lemma

Lecture 55 - Sponsored Search Auction

Lecture 56 - Intermediate Domain

Lecture 57 - Algorithmic Mechanism Design

Lecture 58 - Stable Matching

Lecture 59 - Gale-Shapley Algorithm

Lecture 60 - Properties of Stable Matching