Abstract: Based on the stochastic evolutionary game theory, this paper analyzes the stability and the convergence rate of the industry-university-institute collaboration innovation process, followed by a series of numerical examples to exemplify the corresponding results. In the stochastic dynamic system, the probability density distribution of the efforts of both sides is as follows:instability occurs among the members whose revenue is higher, whereas stability occurs among the members whose revenue is lower. However, the case analysis indicates that it is the instability that accelerates the pace of evolution so that members can converge to better status effectively and quickly.

Key words: stochastic evolutionary game, stochastic differential equation (SDE), stability, collaboration innovation