The significant progress in scientific research and innovation has led to the need for a new paradigm to legitimise the innovation process in society and politics. The European Union, with the Horizon 2020 framework program and Horizon Europe, institutionalises this change by defining the concept of responsible research and innovation (RRI), aiming at greater inclusiveness and sustainability in the research and innovation processes. This paper aimed to present an agent-based model (ABM) to simulate the dynamics between the different actors that cooperate within networks during the innovation process, taking the inclinations toward RRI practices into account. The different types of agent, their characteristics, and the different strategies that they follow have been formulated within the Horizon 2020 project I AM RRI-Webs of Innovation Value Chains (IVCs) of Additive Manufacturing (AM) under consideration of RRI. Besides, some experiments are reported to validate the model, ensuring its rigor and making our model a useful tool for policymakers, assisting them in defining strategic guidelines for disseminating and encouraging RRI best practices and defining the critical factors of the innovative cooperative process.