  In the present letter, we propose a more general entangling operator to the
quantization of Cournot economic model, in which players can access to a
continuous set of strategies. By analyzing the relation between the von Neumann
entropy of the entangled state and the total profit of two players precisely,
we find that the total profit at the Nash equilibrium always achieves its
maximal value as long as the entropy tends to infinity. Moreover, since the
asymmetry is introduced in the entangled state, the quantum model shows some
kind of "encouraging" and "suppressing" effect in profit functions of different
players.
