It is creative that we construct mathematical models to analyze firms' R&D consortia behaviors. Model research is derived from academic discussion on technological innovation market failure due to technology spillovers. R&D consortia could internalize the externality resulted from spillovers and give firms incentives to engage in research and development. Accordingly, it is beneficial to social welfare. Game theory is used in research. R&D consortia is modeled as a two-stage duopoly game process: in the first stage (R&D stage), the two firms spend in R&D, either cooperatively or not, inorder to reduce unit cost. Technology spillovers exist in R&D process. While in the second stage (output stage), they engage in cournot quantitiescompetition on the products market, taking into account the R&D spending in the first stage and choosing the right output to maximize their own profit. Through diverse game models, it is proof that R&D consortia has higher performance than independent R&D.