The dominant strategy for player 1 in the following game is:
$\begin{array}{c}
\text { Player 2 }\
\text { Player 1}
\begin{array}{|l|l|l|l|}
\hline & \mathrm{t} 1 & \mathrm{t} 2 & \mathrm{t} 3 \
\hline & & & \
\mathrm{S} 1 & 4,10 & 3,0 & 1,3 \
\hline & & & \
\mathrm{S} 2 & 0,0 & 2,10 & 10,3 \
\hline
\end{array}\end{array}$
A) S1.
B) S2.
C) S1 and S2.
D) None of the preceding answers is correct.

Question

The dominant strategy for player 1 in the following game is:
$\begin{array}{c}
\text { Player 2 }\
\text { Player 1}
\begin{array}{|l|l|l|l|}
\hline & \mathrm{t} 1 & \mathrm{t} 2 & \mathrm{t} 3 \
\hline & & & \
 \mathrm{S} 1 & 4,10 & 3,0 & 1,3 \
\hline & & & \
\mathrm{S} 2 & 0,0 & 2,10 & 10,3 \
\hline
\end{array}\end{array}$
A) S1.
B) S2.
C) S1 and S2.
D) None of the preceding answers is correct.

Quizplus · Accepted Answer

A dominant strategy is one that results in the highest payoff for a player, regardless of what the other player does. In this game, Player 1 does not have a strategy that always gives them a higher payoff regardless of Player 2's actions. For t1, S1 is better (4 > 0), for t2, S2 is better (2 > 3), and for t3, S2 is better (10 > 1). Since there's no single strategy that is best against all of Player 2's possible actions, there is no dominant strategy for Player 1.

The Dominant Strategy for Player 1 in the Following Game