Consider the following simultaneous move game:
$\begin{array}{|c|c|c|c|}
&&\text { player II}\
\hline && \text { A } & \text { B } \
\hline\text { player I}& \text { A } & (100,100) & (0,200) \
\hline &\text { B } & (200,0) & (300,300) \
\hline
\end{array}$ The matrix above represents the payoffs to each player (I and Ii)based on their selected strategies (A and B) . For example, if player I selects B as its strategy and player II selects A, then the payoffs will be 200 to player I and 0 to player II. What is the dominant strategy for player II in this game?
A) A
B) B
C) Both
D) None

Question

Quizplus · Accepted Answer

A dominant strategy is one that results in the highest payoff for a player, regardless of what the other player does. For player II, choosing B yields a payoff of 200 if player I chooses A, and 300 if player I chooses B, which are both higher than the payoffs from choosing A (100 if player I chooses A, and 0 if player I chooses B). Therefore, B is the dominant strategy for player II.

Consider the Following Simultaneous Move Game The Matrix Above Represents the Payoffs to Each Player (I