In this paper, we compare the scenarios of exclusive licenses and cross-licenses under the existence of partial vertical integration. To do this, a successive duopoly model is proposed, with two owners and two firms competing in a differentiated product market. Each technology owner has a share in one of the competing firms, so that competition is also extended to the upstream R&D sector. We propose a novel analysis where differences in the size of their innovation process are allowed, extending the results in Sánchez et al. (2021). We find that the cross-licensing scenario is preferred when the size of the innovation is small; this occurs regardless of the participation in the competing companies and how many innovate. If the innovation is very large, the owners may be better off with exclusive licenses.