Study on the dynamic model of a duopoly game with delay in insurance market

摘要

On the basis of domestic and foreign workers' study, this paper considers the dynamic model of a duopoly price game in insurance market. In the duopoly model, we theoretically analyze the existence and stability of the Nash equilibrium point of the dynamic system, when one player or both players make a delayed decision, then stability conditions are obtained. The numerical simulation results further confirmed the accuracy of the theory. We observe that consideration of the delayed decision cannot change the equilibrium point of the system, but the time to the situation of stabilize will be changed because of the influence of the delayed variable and other parameters. If we increase the value of delayed parameter, the system will take longer time to be stable. If we change the speed of price adjustment and the weight of price of different periods, the time to the situation of stabilize will be changed.