Figure 4.2:
-Refer to Figure 4.2. A Nash equilibrium exists
A) only where all three players go to the movie theater.
B) only where all three players go to the bowling alley.
C) where all three players go to the movie theater and where all three players go to the bowling alley.
D) These is no Nash equilibrium in this game.

Question

Figure 4.2: 
-Refer to Figure 4.2. A Nash equilibrium exists
A) only where all three players go to the movie theater. 
B) only where all three players go to the bowling alley. 
C) where all three players go to the movie theater and where all three players go to the bowling alley. 
D) These is no Nash equilibrium in this game.

Quizplus · Accepted Answer

A Nash equilibrium exists where no player has an incentive to deviate from their strategy given the strategies of the others. In this case, both scenarios where all players choose the same activity (either all go to the movie theater or all go to the bowling alley) satisfy this condition, as no single player would benefit from changing their choice while the others remain unchanged.

Figure 4.2: -Refer to Figure 4.2. a Nash Equilibrium Exists