In pertinency of a price function as nonlinear: P(D)=p_01+1D

by using the relevant theories of difference equations

we′ve obtained two mathematical games of duopoly oligopoly: Cournot game

Stackelberg game

and Prisoner game is adopted respectively in this paper for study and analysis on the stability of output decision-making system.Due to the complexity of nonlinear function in terms of the format

computer-aided methodology is employed by using Delphi for programming.A new parameter λ-the maximal unit risk ratio is introduced

and the relationship between the range of the scope of initial values and the stability of the system is discussed.The conclusion of globally asymptotic stability in the system has been drawn under the defined conditions.