Table: Homer, Marge Payoff Table $$\begin{array} { | l | l | r | r| }
\hline & & { \text { Marge (utility) } } & \
\hline & & \text { Go to Ball Game } & \text { Go to Opera } \
\hline \text { Homer } & \text { Go to Ball Game } & 50,50 & 45,45 \
\hline \text { (utility) } & \text { Go to Opera } & 0,45 & 48,60 \
\hline
\end{array}$$ Refer to the table. The Nash equilibrium is (are):
A) (50, 50) and (48, 60).
B) (0, 45).
C) (45, 45).
D) (48, 60) and (45, 45).

Question

Table: Homer, Marge Payoff Table $$\begin{array} { | l | l | r | r| } 
\hline & &  { \text { Marge (utility) } } &  \
\hline & & \text { Go to Ball Game } & \text { Go to Opera } \
\hline \text { Homer } & \text { Go to Ball Game } & 50,50 & 45,45 \
\hline \text { (utility) } & \text { Go to Opera } & 0,45 & 48,60 \
\hline
\end{array}$$ Refer to the table. The Nash equilibrium is (are):
A) (50, 50) and (48, 60).
B) (0, 45).
C) (45, 45).
D) (48, 60) and (45, 45).

Quizplus · Accepted Answer

In a Nash equilibrium, no player can benefit by changing their strategy while the other players keep theirs unchanged. Here, (50, 50) and (48, 60) are Nash equilibria because neither Homer nor Marge can improve their utility by unilaterally changing their decision.

Table: Homer, Marge Payoff Table Refer to the Table