<正> We study the influence of the constraint in the parameter space on qua(?) games.(?)operator into product of three rotation operators and controlling one kind of them,we impose a constraint on theparameter space of the players' operator.We find that the constraint can provide a tuner to make the bilateral payoffsequal,so that the mismatch of the players' action at multi-equilibrium could be avoided.We also find that the gameexhibits an intriguing structure as a function of the parameter of the controlled operators,which is useful for makinggame models.