Does quantization always make games fairer?

Taking Quantum Trade Game as an example, how strategy quantization will influence the fairness of games is discussed in this paper. Strategy moves will make classical games no longer fair as they break the original rules of the games. We extend classical Trade Game into quantum field. By calculating the variances in optimal strategies and results caused by performing strategy moves, its influences on classical Trade Game and quantum Trade Game are compared. In the case of Trade Game, the quantum version will suffer less from strategy moves, which reveals that the quantization of strategies can make games fairer. From the viewpoint of quantum-classical hybrid system, such a characteristic also reflects quantum system´s advantage in resisting classical information interruptions.