Table $17-14$

This table shows a game played between two players, A and B$.$ The payoffs in the table are shown as $($Payoff to A$,$ Payoff to B$).$

B

Right

Left

A

Up

$(2,2)$

$(3,1)$

Down

$(1,3)$

$(0,0)$

Refer to Table $17-14.$ Which of the following statements about this game is true?

Group of answer choices

Down is a dominant strategy for A and Left is a dominant strategy for B$.$

Up is a dominant strategy for A and Right is a dominant strategy for B$.$

Down is a dominant strategy for A and Right is a dominant strategy for B$.$

Up is a dominant strategy for A and Left is a dominant strategy for B$.$