中文摘要：

建立一个供应链成员间知识溢出模型，对R＆D过程中供应商纵向知识溢出的原因以及影响因素进行分析。发现供应商纵向知识溢出的决策与供应商和制造商获得的边际收益以及R＆D质量对隐性知识投入和显性知识投入的弹性系数有关。供应商的边际收益相对于制造商的边际收益越高（低），供应商越有（没有）动力进行知识投入和溢出。当供应商的知识溢出大于零时，供应商的最优知识溢出与他对质量的影响正相关。

英文摘要：

In order to find the causes and affects of supplier＇s knowledge spillover vertically in the R（%D process, a model of knowledge spillover among the supply-chain members was proposed in this paper. It was found that the decision on suppliers＇ vertical knowledge spillover was related to the marginal profits of the manufacturer and supplier, and with respect to the elastic coefficient of both the tacit and explicit knowledge input for R＆D quality. Thus the higher （lower） supplier＇s marginal profits with respect to manufacturer＇s is, the more （less） incentive for supplier to invest and spillover in knowledge. It was also found that supplier＇s optimal knowledge spillover is positively related to its effect on quality when supplier＇s knowledge spillover is positive.