Scenario 13.13
Consider the game below:
-If the game in Scenario 13.13 were not played sequentially,
A) the only equilibrium would be (R2,C1).
B) the only equilibrium would be (R1,C2).
C) the only equilibria would be (R2,C1) and (R1,C2).
D) the only equilibria would be (R2,C1), (R1,C2) and a mixed strategy equilibrium.
E) there would not be any equilibrium.

Question

Scenario 13.13
Consider the game below: 
-If the game in Scenario 13.13 were not played sequentially,
A) the only equilibrium would be (R2,C1). 
B) the only equilibrium would be (R1,C2). 
C) the only equilibria would be (R2,C1) and (R1,C2). 
D) the only equilibria would be (R2,C1), (R1,C2) and a mixed strategy equilibrium. 
E) there would not be any equilibrium.

Quizplus · Accepted Answer

If the game were not played sequentially, it would be a simultaneous move game. In such a case, players have to make their moves simultaneously without observing each other's choice, which is different from the current game. 
In the current game, both players have a dominant strategy, and the equilibrium is (R2,C1). However, in a simultaneous move game, there are two pure strategy equilibria, (R2,C1) and (R1,C2). Moreover, there is also a mixed strategy equilibrium because player 1 can randomize between R1 and R2 with equal probability, and player 2 can randomize between C1 and C2 with equal probability, leading to an expected payoff of zero for both players. Therefore, choice D is the correct answer.

Scenario 13.13 Consider the Game Below