A balancing mechanism for an equilibrium game wherein a hub is connected to a tripod by a universal joint. A plurality of radially extending arms having cups on their outer ends are connected to the hub. A depending pointer is connected to the hub and extends downwardly therefrom to a Cartesian coordinate graph positioned centrally of the tripod. A plurality of weights are placed in the cups to cause the pointer to become positioned at a certain X,Y point on the graph.