The Value of the Game in Extensive Form with Stochastic Influence

摘要

In this paper, interfering matrix has been introduced on the nodes of the finite game in extensive form to research and characterize the influence to the process of the game led by the stochastic elements. Also, the algorithm for constructing the solution as well as the optimal route, and an illustration have been given. Dislike the commonly used backward induction in finite game with extensive form, a new method with the character of forward induction has been constructed on the base of backward calculation especially focusing on the game in extensive form with stochastic influence.