1 Introduction-Game Theory
2 Lecture 1 : Combinatorial Games: Introduction and examples
3 Lecture 2 : Combinatorial Games: N and P positions
4 Lecture 3 : Combinatorial Games: Zermelo’s Theorem
5 Lecture 4 : Combinatorial Games: The game of Hex
6 Lecture 5 : Combinatorial Games: Nim games
7 Lecture 6: Combinatorial Games: Sprague-Grundy Theorem - I
8 Lecture 7: Combinatorial Games: Sprague-Grundy Theorem - II
9 Lecture 8: Combinatorial Games: Sprague-Grundy Theorem - III
10 Lecture 9: Combinatorial Games: The Sylver Coinage Game
11 Lecture 10: Zero-Sum Games: Introduction and examples
12 Lecture 11 : Zero-Sum Games: Saddle Point Equilibria & the Minimax Theorem
13 Lecture 12 : Zero-Sum Games: Mixed Strategies
14 Lecture 13 : Zero-Sum Games: Existence of Saddle Point Equilibria
15 Lecture 14 : Zero-Sum Games: Proof of the Minimax Theorem
16 Lecture 15 : Zero-Sum Games: Properties of Saddle Point Equilibria
17 Lecture 16 : Zero-Sum Games: Computing Saddle Point Equilibria
18 Lecture 17 : Zero-Sum Games: Matrix Game Properties
19 Lecture 18 : Non-Zero-Sum Games: Introduction and Examples
20 Lecture 19 : Non-Zero-Sum Games: Existence of Nash Equilibrium Part I
21 Lecture 20 : Non-Zero-Sum Games: Existence of Nash Equilibrium Part II
22 Lecture 21 : Iterated elimination of strictly dominated strategies
23 Lecture 22 : Lemke-Howson Algorithm I
24 Lecture 23 : Lemke-Howson Algorithm II
25 Lecture 24 : Lemke-Howson Algorithm III
26 Lecture 25 : Evolutionary Stable Strategies -I
27 Lecture 26 : Evolutionarily Stable Strategies - II
28 Lecture 27 : Evolutionarily Stable Strategies - III
29 Lecture 28 : Fictitious Play
30 Lecture 29 : Brown-Von Neumann-Nash Dynamics
31 Lecture 30 : Potential Games
32 Lecture 31 : Cooperative Games: Correlated Equilibria
33 Lecture 32 : Cooperative Games: The Nash Bargaining Problem I
34 Lecture 33 : Cooperative Games: The Nash Bargaining Problem II
35 Lecture 34 : Cooperative Games: The Nash Bargaining Problem III
36 Lecture 35 : Cooperative Games: Transferable Utility Games
37 Lecture 36 : Cooperative Games: The Core
38 Lecture 37 : Cooperative Games: Characterization of Games with non-empty Core
39 Lecture 38 : Cooperative Games: Shapley Value
40 Lecture 39 : Cooperative Games: The Nucleolus
41 Lecture 40 : The Matching Problem