Answer the follow

In the question it is given that the forces exerted by both the teams are equal which signifies that the net force on the rope is zero. That is there is no net force acting on the rope. Now the rope will be at rest because if both the forces are cancelling out each other there will be no net force which will ultimately results in the stationary/rest position of the rope. Hence, if and only if an unbalanced force is applied on the rope then it will move. And then the team which has applied more force will win. But if the forces exerted are equal none of the team will win.