Consider a simultaneous game in which player A chooses one or two actions. (Up or Down), and B chooses one of two actions (Left or Right). The game the following payoff matrix, where the first payoff in each entry is for A and the second for B.
|
|
|
B
|
|
|
|
Left
|
Right
|
|
A
|
Up
|
3,3
|
5,1
|
|
Down
|
2,2
|
4,4
|
a. Find the Nash equilibrium or equilibria
b. Which player, if any has a dominant strategy?