In the following games, all payoffs are listed with the row player's payoffs first and the column player's payoffs second.
-Suppose in Game 4 above that the players make their choices sequentially, with Player A choosing first. The Nash equilibrium in this game will be,
A)Player A choosing A1 and Player B choosing B1.
B)Player A choosing A1 and Player B choosing B3.
C)Player A choosing A3 and Player B choosing B1.
D)Player A choosing A3 and Player B choosing B3.

Question

In the following games, all payoffs are listed with the row player's payoffs first and the column player's payoffs second. 
-Suppose in Game 4 above that the players make their choices sequentially, with Player A choosing first. The Nash equilibrium in this game will be,
A)Player A choosing A1 and Player B choosing B1. 
B)Player A choosing A1 and Player B choosing B3. 
C)Player A choosing A3 and Player B choosing B1. 
D)Player A choosing A3 and Player B choosing B3.

Quizplus · Accepted Answer

If Player A chooses A1, then Player B's best response is to choose B3 as it gives him a higher payoff of 3, compared to B2 which gives him a payoff of 2. 
If Player A chooses A3, then Player B's best response again is to choose B3 as it gives him the highest payoff of 5, compared to B1 which gives him a payoff of 3. 
Therefore, (A1, B3) is the only Nash equilibrium in this sequential game.

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