Assignment:
1. What is a "strategy" in game theory? Provide its definition briefly.
2. What is a "Nash equilibrium"?
3. Find the unique Nash equilibrium in the following game (Prisoner's Dilemma)
![2031_Equilibrium.jpg](https://secure.tutorsglobe.com/CMSImages/2031_Equilibrium.jpg)
4. Find two pure-strategy Nash equilibrium in the following game (Battle of Sexes)
![346_Pure strategy.jpg](https://secure.tutorsglobe.com/CMSImages/346_Pure strategy.jpg)
5. Show that there does not exist a pure-strategy Nash equilibrium in the following game (Matching pennies)
![1631_Matching pennies.jpg](https://secure.tutorsglobe.com/CMSImages/1631_Matching pennies.jpg)
6. In the game given in 5, show that it is a mixed-strategy equilibrium that both players play each action with probability 1/2.
7. What is a "subgame perfect Nash equilibrium"? Provide its definition briefly.
8. Find a subgame perfect Nash equilibrium of the following extensive-form game.
![949_Game.jpg](https://secure.tutorsglobe.com/CMSImages/949_Game.jpg)
9. Find a subgame perfect Nash equilibrium of the following extensive-form game.
![880_Entry game.jpg](https://secure.tutorsglobe.com/CMSImages/880_Entry game.jpg)