CAJ | 학술논문

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。
재산학연합작중,유우합작망락탁복결구적불동,산학연합작적각주체수익화총체수익야불일양。채용납십균형박혁화도론상결합적방법,구건망락탁복도,도형중원권위각삼여주체、변위각주체여기타주체적합작관계、수익함수위기효용함수,전개합작망락적균형성화유효성분석。연구발현：균형성방면,재선성수익함수조건하,납십균형망락혹자시완전불련통망락,혹자시최소련통망락,병분석득도료산학연합작망락부합엄격납십균형망락소수만족적삼수조건;유효성방면,재선성수익함수조건하,유효성망락야혹자시완전불련통망락,혹자시최소련통망락,병만족유효성망락소수적삼수조건;통과비교납십균형망락화유효성망락적삼수조건,귀납출3충불동정황。
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.