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 ________.

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.This game ________.

Quizplus · Accepted Answer

There is no dominant strategy for either player. If both players cooperate, they each get a payoff of 3. If one player cooperates and the other does not, the cooperating player gets a payoff of 0 (due to the muscle sprain) and the non-cooperating player gets a payoff of 5 (by not exerting effort). If both players do not cooperate, they each get a payoff of 1. Therefore, the players need to engage in communication or negotiation to reach a mutually beneficial outcome.

Scenario: Jack and Jill Have Gone Cycling and Have Come