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).
-Refer to Table 17-14. Which of the following statements about this game is true?
A)Up is a dominant strategy for A and Right is a dominant strategy for B.
B)Up is a dominant strategy for A and Left is a dominant strategy for B.
C)Down is a dominant strategy for A and Right is a dominant strategy for B.
D)Down is a dominant strategy for A and Left is a dominant strategy for B.

Question

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). 
-Refer to Table 17-14. Which of the following statements about this game is true?
A)Up is a dominant strategy for A and Right is a dominant strategy for B. 
B)Up is a dominant strategy for A and Left is a dominant strategy for B. 
C)Down is a dominant strategy for A and Right is a dominant strategy for B. 
D)Down is a dominant strategy for A and Left is a dominant strategy for B.

Quizplus · Accepted Answer

A dominant strategy is a strategy that yields the highest payoff for a player regardless of the strategies chosen by the other player(s).

For player A, going Up yields a higher payoff than going Down regardless of what B does (3 > 2 and 2 > 0). Therefore, Up is a dominant strategy for A.

For player B, going Left yields a higher payoff than going Right regardless of what A does (3 > 2 and 2 > 0). Therefore, Left is a dominant strategy for B.

Therefore, the best choice is B, Up for A and Left for B.

Table 17-14 This Table Shows a Game Played Between Two Players, a Players