F$)(2$ points$)$ What is Player A$\text{'}$s Maximin Strategy?

G$)(2$ points$)$ What is Player B$\text{'}$s Maximin Strategy?

$2.(18$ Total Points$)$ Suppose that two players are playing the following game. Player $1$ can choose either Top or Bottom, and Player $2$ can choose either Left or Right. The payoffs are given in the following table:

where the number on the left is the payoff to Player A $,$ and the number on the right is the payoff to Player B$.$

A$)(2$ points$)$ Does player A have a dominant strategy, and if so what is it$?$

B$)(2$ points$)$ Does player B have a dominant strategy and if so what is it$?$

C$)(4$ points$)$ For each of the following strategy combinations, write TRUE if it is a Nash Equilibrium, and FALSE if it is not:

i$)$ Top$/$Left

ii$)$ Top$/$Right

iii$)$ Bottom$/$Left

iv$)$ Bottom Right