Abstract | Coordination and cooperation are one of the most important characteristics of mankind. However, in the real-world, human decision-making cannot meet the assumption and the principles of independent decision-making and complete rationality stipulated and required by classical decision-making theory, especially when the two parties or players have certain common interests. To solve this problem, on the basis of the theory of quantum computing and evolutionary game theory, this paper takes the coordination game as the framework, and integrates the two methods effectively, and proposes the quantum evolutionary model for the coordination game. The stability of our model on five special cases is analyzed by using the stability theory of ordinary differential equations. In addition, based on the quantum system management, the effective management enlightenment is put forward. The results show that the quantum evolutionary model for the coordination game can reproduce all the results of the evolutionary game model. The points judged to be unstable in the evolutionary game model for the coordination game can also be stable in the quantum counterpart due to the effect of state superposition. State superposition and entanglement can provide a unique solution for the quantum evolutionary model for the coordination game, in which different players or participants have the same payoffs and two local equilibrium points are asymptotically stable. On the basis of the analysis and discussions, it is proposed that quantum system management should pay attention to the whole system, and should encourage inclusiveness and effective communication. This paper provides a useful reference for discovering meso-scale phenomena through micro behavior. |
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