Answer: See explanation column for answer
Explanation:
Caroline
left Right
Anthonio left 6,6 6,3
Right 4,3 5,5
The first digits in both left and right is Anthonio's best response payoff given what Caroline chooses. Also, the second digit on both left and right is Caroline's best response payoff based on what Anthonio chooses.
When Antonio chooses left, Caroline should choose left so as to get a payoff of 6, also when Antonio chooses right, Caroline chooses right to get a payoff of 5. therefore, there is no dominant strategy for Caroline.
The dominant strategy for Antonio occurs
When Caroline chooses left, Antonio will have to choose left to get a payoff of 6, also when Caroline chooses right, Antonio should choose left to get a payoff of 6. So, the dominant strategy for Antonio is to choose left.
The only dominant strategy in this game is for Antonio, to choose left.
b). For Nash Equilibrum, Antonio will have to choose his dominant strategy, that is to choose left, which will make Caroline is to choose left so as to get a payoff of 6. So, the Nash equilibrium is for Antonio to choose <u>left </u>and caroline chooses<u> left</u> too