Use the following table to answer the questions :
-In the mixed-strategy Nash equilibrium of the following game in which players randomize between B and C and do not play A at all,what is the probability that each plays B?
A)3/4
B)1/2
C)1/4
D)1/3

Question

Use the following table to answer the questions : 
-In the mixed-strategy Nash equilibrium of the following game in which players randomize between B and C and do not play A at all,what is the probability that each plays B? 
A)3/4 
B)1/2 
C)1/4 
D)1/3

Quizplus · Accepted Answer

In the mixed-strategy Nash equilibrium, both players should have a probability of q = 3/4 of playing B and a probability of 1 - q = 1/4 of playing C. This is because if one player deviates and switches their strategy to playing C more often, the other player will only have to adjust their strategy slightly to maximize their payoff by playing B more often. Therefore, the mixed-strategy Nash equilibrium is when both players play B and C with a 3/4 and 1/4 probability, respectively.

As for the best choice(s), it depends on the specific context of the game and what the players are trying to achieve. The best choice(s) will depend on the players' objectives, risk preferences, and the information they have about each other's strategies. Without more information, it is impossible to determine the optimal choice(s) for the players.

Use the Following Table to Answer the Questions