Scenario: Jack and Jill have gone cycling and have come to a place where the road is obstructed by a fallen tree. They can move the tree if both of them try. If neither of them tries, they have to turn back and reach home very late. However, if one of them tries while the other does not help, the one who tries will have a muscle sprain and will not be able to move the tree. The matrix below shows the utility each player derives in each situation. The first number listed in each cell is the payoff to the row player, and the second number listed is the payoff to the column player.

-Refer to the scenario above.Which of the following is true in this case?

Question

Scenario: Jack and Jill have gone cycling and have come to a place where the road is obstructed by a fallen tree. They can move the tree if both of them try. If neither of them tries, they have to turn back and reach home very late. However, if one of them tries while the other does not help, the one who tries will have a muscle sprain and will not be able to move the tree. The matrix below shows the utility each player derives in each situation. The first number listed in each cell is the payoff to the row player, and the second number listed is the payoff to the column player.
 
-Refer to the scenario above.Which of the following is true in this case?

Quizplus · Accepted Answer

If Jack tries to move the tree and Jill doesn't help, Jack still gets a payoff of 2, which is better than turning back and getting 0. And if Jill does help, they both get a payoff of 10, which is the highest possible payoff for both of them. Therefore, Jack is better off trying to move the tree regardless of what Jill does.

Scenario: Jack and Jill Have Gone Cycling and Have Come