Algorithmic Game Theory

CS60025, Autumn 2024, LTP: 3-0-0


Instructor Somindu Chaya Ramanna
Teaching assistant Umika Agrawal
Class Slots THUR: 15:00-16:55; FRI: 15:00-15:55
Tutorials on Saturdays

Notices and Announcements

Prerequisites

I assume familiarity with probability theory, discrete mathematics and algorithm design. These topics will not be covered in the course.

Evaluation Plan

Evaluation for this course will be based on

Lectures

Week Date Topics
1 25 July Introduction to Non-Cooperative Game Theory, Normal Form Games, Examples
26 July Solution Concepts: Dominant Strategy Equilibria; Strong/Weak/Very Weak Dominance, WDSE for Second-Price Auctions
2 1 August Nash Equilibrium: PSNE, MSNE, Examples
2 August Necessary and Sufficient Condition for MSNE
3 8 August Matrix Games: Examples, Saddle Points, PSNE and Saddle Points, Mixed Strategies, Minmaximisation and Maxminimisation
9 August Matrix Games: Optimisation Problems for the 2 Players, Equivalent LPs, Minimax Theorem, Implications on MSNE for Matrix Games
4 15 August Institute Holiday (Independence Day)
16 August Yao's Lemma
5 22 August Support Enumeration Algorithm, Succint Games, Potential Games
23 August PSNE in Potential Games, Best Response Dynamics
6 29 August Approximate PSNE, Max Gain Best Response Dynamics
30 August Local Search, PLS, PLS-Completeness
7 5 September No Class
6 September No Class
8 12 September MSNE in Bimatrix Games, Classes FNP,TFNP,PPAD
13 September PPAD Completeness, Sperner's Lemma
17 - 25 September Mid-Semester Examination
9 26 September Correlated Equilibria and Coarse-Correlated Equilibria
27 September No External Regret Dynamics, MW Algorithm
10 3 October Approximate CCE, Swap Regret
4 October No Class
5 - 13 October Autumn Break
11 17 October No Class
18 October Black-box Reduction from No External Regret to No Swap Regret, epsilon-CE
12 24 October Price of Anarchy, Selfish Atomic Routing
25 October No Class -- Cyclone Dana
13 31 October Institute Holiday (Deepavali)
1 November Selfish Load Balancing
14 7 November Extensive Form Games
8 November Bayesian Games, First Price Auction
9 November Doubt-Clearing Session
12 14 November Class Test
15 November Institute Holiday (Gurunanak Jayanti)
18 - 26 November End Semester Examination

Practice Problems

Problem Set 1

Problem Set 2

Problem Set 3

References