Game Theory 1

Prof. Abraham Neyman

 
Week Thursday Lecture Wednesday TA Class
1

22/10/2009
Introduction - some examples, 2-player games, Von Neumann-Morgenstern utility, mimimax theorem (99KB)

21/10/2009
Game trees, strategies, winning strategies, Zermelo theorem, some examples (1.56MB)
2 29/10/2009
Review of Infi: topology in Rn - convergence, closed sets, compact sets, continuous functions (122KB)
28/10/2009
Extensive-form without perfect information, extensive-form vs. normal form (113KB)
3 05/11/2009
TA class: 2X3 games, inner product, hyper-planes, convexity (131KB)
04/11/2009
Zero-sum games, the minimax theorem (71KB)
4 12/11/2009
Separation theorems, Minmax theorem intuition (113KB)
11/11/2009
Formal definition of a game, dominant strategies (76KB)
5 19/11/2009
Proof of the minmax theorem, equivalent definitions, definition of a game (93KB)
18/11/2009
The indifference principle - definition and examples (88KB)
6 26/11/2009
equilibrium, Brauer's fixed point theorem, proof that every strategic game has an equilibrium (110KB)
25/11/2009
Pure equilibrium - definition and examples (78KB)
7 03/12/2009
Proof of Brauer's fixed point theorem (1.71MB)
02/12/2009
Finding mixed equilibrium points (85KB)
8 10/12/2009
Abstract simplicial complex, barycentric subdivision (82KB)
09/12/2009
Equilibrium in extensive form games (65KB)
9 17/12/2009
Proof os Sperner's lemma (125KB)
16/12/2009
Sperner's lemma in 2D and in 3D (63KB)
10 24/12/2009
Proof of Brauer's theorem (74KB)
23/12/2009
The nature player and what happens when adding information (76KB)
11 31/12/2009
Multi-period games: examples (64KB)
30/12/2009
Equilibrium in multi-period games (97KB)
12 07/01/2010
Cooperative games (93KB)
06/01/2010
Looking for equilibria in 2-period games (84KB)
13 14/01/2010
Shapley theorem, examples of calculation (86KB)
13/01/2010
Shapley value definition and examples (76KB)
14 21/01/2010
Q&A (96KB)
20/01/2010
Q&A (134KB)
  All Lectures (2.8MB) All TA Classes (2.73MB)
 

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