| Based on the models in Xie Yiping and Wang Ping,this paper studies the inside trading model of three inside traders with the same complete information and with the general mixed strategies.The increase in the number of inside traders and the generalization of the probability of participation of inside traders make the calculation and proof more difficult,which also forces us to find the more effective way to solve the problems that we met.This article combines the ideas and methods in the models of Zhang Shouyuan,Xie Yiping,Wang Ping and Ma Jingjing and makes full use of the mathematical software Mathematical 1.0 to solve these problems.Similar as the models in Gong and Zhou,and according to the inside traders’s different attitude to the risk,we study the equilibrium of risk-seeking,risk-neutral and risk-averse inside trading models.First we prove that the optimal strategy parameters of the three inside traders with complete information are the same in the equilibrium state,and give the equations satisfying the relevant parameters in the corresponding model respectively,and then we prove that the general mixed strategic equilibrium of the corresponding model is exist and unique. |
