In the following games, all payoffs are listed with the row player's payoffs first and the column player's payoffs second.
-In Game 2 above,
A)Player A choosing A1 and Player B choosing B1 is a Nash equilibrium.
B)Player A choosing A1 and Player B choosing B2 is a Nash equilibrium.
C)Player A choosing A2 and Player B choosing B1 is a Nash equilibrium.
D)Player A choosing A2 and Player B choosing B2 is a Nash equilibrium.

Question

In the following games, all payoffs are listed with the row player's payoffs first and the column player's payoffs second. 
-In Game 2 above,
A)Player A choosing A1 and Player B choosing B1 is a Nash equilibrium. 
B)Player A choosing A1 and Player B choosing B2 is a Nash equilibrium. 
C)Player A choosing A2 and Player B choosing B1 is a Nash equilibrium. 
D)Player A choosing A2 and Player B choosing B2 is a Nash equilibrium.

Quizplus · Accepted Answer

In a Nash equilibrium, neither player has an incentive to change their strategy given the strategy of the other player. In this game, if Player A chooses A2, Player B's best response is to choose B2, which results in payoffs of (2, 4). Similarly, if Player B chooses B2, Player A's best response is to choose A2, which also results in payoffs of (2, 4). Therefore, (A2, B2) is the only Nash equilibrium. In Game 2, Player A's best response to Player B choosing B1 is A2, and Player B's best response to Player A choosing A2 is B2. Therefore, (A2,B2) is a Nash equilibrium.

In the Following Games, All Payoffs Are Listed with the Row