Scenario: Jack and Jill Have Gone Cycling and Have Come

Multiple Choice

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?

A) Jack is better off not trying to move the tree if Jill does not try at all.
B) Jill is better off trying to move the tree if Jack does not try at all.
C) Jack is better off trying to move the tree regardless of what Jill does.
D) Jill is better off not trying if Jack tries to move the tree.