创新与服务二分网络的关系嵌入演化研究

技术创新已从线性范式演化到网络化范式,同时,社会化服务则从体系的构建演化到关系的嵌入。创新企业与服务机构基于服务关系形成了"多对多"的二分网络。在服务关系嵌入二分网络的过程中,服务机构在选取创新企业上具有模仿性和自主性,分别对应着择优选择策略和随机选择策略;随着时间的演变,二分网络中的服务关系不断地发生断开与重连。创新企业"失去服务"的概率正比于其连通度,而"获得服务"的概率与服务机构的择优选择策略密切相关。在演化稳定状态下,企业节点的连通度分布表现出三种形态:(1)对于很小的择优选择概率,度分布近似服从二项分布;(2)对于适中的择优选择概率,度分布是具有指数截断的幂律分布;(3)对于较大的择优选择概率,度分布近似服从脉冲分布;计算实验分析也证实了这三种状态。服务机构投影网络社区规模分布与企业节点连通度分布具有同样的规律。创新与服务二分网络的连通度分布和社区规模分布对于分析企业创新能力、知识分享能力以及产业创新能力分布有着重要意义。

Research on the Evolutionary of Relation Embedding in the Bipartite Network of Innovation and Service

Technological innovations have evolved from linear paradigm to networked paradigm. At the same time, Social services have evolved from system construction to relation embedding. Technological innovation pro- mote and affect each other, so enterprises and service organizations form the many-many bipartite network based on service relations. During the process of service relations embedding to the bipartite network, service organiza- tions have characteristics of imitative and autonomy, which response to preferential selection strategy and random selection strategy respectively. With the evolution of bipartite network, service relations break and rewire constantly. The ＂lose service＂ probability of enterprise is proportional to its degree; however, the ＂get service＂ probability is closely related to the preferential selection strategy. Under the stable of evolutionary, the degree distri- bution of enterprise nodes appear three kinds of shape： （1） Degree distribution follows power-law distribution with exponential cutoff for the proper preferential selection probability; （2） Degree distribution follows Binomial Distribution approximately for small preferential selection probability; （3） Degree distribution follows pulse distribution approximately for large preferential selection probability. The computing experiments have also proved them. The distribution of projected network community scale has the same law. The degree and community scale distributions of the bipartite network of innovation and service have important significance to analyze the innovation ability of enterprises and industries.