1. 6.1 Consider a simultaneous game in which player A chooses one of two actions (Up or Down), and B chooses one of two actions (Left or Right). The game has the following payoff matrix, where the first payoff in each entry is for A and the second for B.
Find the Nash equilibrium or equilibria.
Which player, if any, has a dominant strategy? B
Left
Right Up
3 , 3
3 , 1
2 , 2
4 , 4 A
Down

3. 6.8 Find the pure-strategy Nash equilibrium or equlibria of the following game with three actions for each player. B
Left
Center
Right
4 , 3
5 , -1
6 , 2
2 , 1
7 , 4
3 , 6
3 , 0
9 , 6
0 , 8 Up A
Middle
Down