中文摘要：

在产学研合作中,由于合作网络拓扑结构的不同,产学研合作的各主体收益和总体收益也不一样。采用纳什均衡博弈和图论相结合的方法,构建网络拓扑图,图形中圆圈为各参与主体、边为各主体与其它主体的合作关系、收益函数为其效用函数,展开合作网络的均衡性和有效性分析。研究发现：均衡性方面,在线性收益函数条件下,纳什均衡网络或者是完全不连通网络,或者是最小连通网络,并分析得到了产学研合作网络符合严格纳什均衡网络所需满足的参数条件;有效性方面,在线性收益函数条件下,有效性网络也或者是完全不连通网络,或者是最小连通网络,并满足有效性网络所需的参数条件;通过比较纳什均衡网络和有效性网络的参数条件,归纳出3种不同情况。

英文摘要：

In the process of cooperation＇s research, because of the network topology of cooperation, the agent＇s benefits and the overall benefits of cooperation＇s research are not the same. this paper applies graph theory and Nash equilibrium game to build the figure in the circle for the agents and the edges in the graph for each of the options and the revenue function as its utility function, expand the cooperation network balance and effectiveness analysis. The study shows that in equilibri- um, under the conditions of the type of linear function Nash equilibrium is completely connected network or completely un- connected network and also finds the strict Nash equilibrium of the completely connected network parameters to meet the conditions required; in effectiveness, under the conditions of the type of linear function Nash equilibrium is completely con- nected network or completely unconnected network and also finds the strict Nash equilibrium of the completely connected network parameters to meet the conditions required; Nash equilibrium by comparing the effectiveness of the network pa- rameters of the network conditions and identifies the three different situations.