Week - 1 |
Game notion. Examples. Terminology of game theory |
Week - 2 |
Two-Person Zero-Sum games. Payoff matrix. Maxmin criterion. Mixed strategies. Optimal Strategy. |
Week - 3 |
Minimax (von Neumann) theorem. Equilibrium strategies and properties. Solution concept. Domination. |
Week - 4 |
Worthwhile strategies. (2xm) games solving method. Examples. |
Week - 5 |
Linear programming problem. Duality. (nxm) games solving method. |
Week - 6 |
Brown-Robinson method. |
Week - 7 |
Two-Person Non-Zero-Sum games. Payoff table. Mixed strategies. Maxmin strategies of the game. |
Week - 8 |
Examples of Two-Person Non-Zero-Sum games and equilibrium pairs. |
Week - 9 |
Existense of the equilibrium pairs. Nash theorem. |
Week - 10 |
Finding the equilibrium pairs of (nxm) Two-Person Non-Zero-Sum games. Swastika method. |
Week - 11 |
Solution concept of Two-Person Non-Zero-Sum games. Solution in the Nash sense. Solution in the strict sense. |
Week - 12 |
Cooperative games. Jointly randomised strategies. Bargaining set. |
Week - 13 |
Nash bargaining axioms. Existence of arbitration prosedure. |
Week - 14 |
Maxmin bargaining solution. Nash bargaining solution. Examples. |