Technology roadmapping provides a tool for technology planning and selecting what to pursue in what timeframes. In this paper, a game-theoretic framework for technology roadmap planning is proposed to address the enumeration, selection and evaluation of possible evolution paths for technology roadmapping characterized by an iterative and competitive technology development process between companies within one tradespace. More specifically, the framework including companies as game players demonstrates the most favorable reactions to each other's technology development by approximated best response functions. Next, the selection process of optimal development paths is carried out to evaluate the possible payoffs using backward induction. Finally, a case is studied to demonstrate the feasibility of the proposed approach.