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.This game ________.

A) has a unique Nash equilibrium
B) has a unique dominant strategy equilibrium
C) does not have a dominant strategy equilibrium
D) does not have a Nash equilibrium