The rapid development of the digital economy has highlighted the crucial role of data in economic growth. This study investigates the impact of two types of innovation on long-term growth by incorporating data into a model of creative destruction and knowledge accumulation. Unlike traditional factors, data exhibit nonrivalry between the two research and development (R&D) sectors, thereby influencing the growth rate of economic outputs simultaneously without interference. Our findings reveal the existence of a balanced growth path (BGP) in both the decentralized economy and the social planner’s economy. In horizontal innovation, data can be transformed into digital knowledge to promote the economic growth [Cong et al. (2021)]. In addition to horizontal innovation, the utilization of data in vertical innovation also enhances the success rate of innovation, with a gradual decrease in per capita data usage on the BGP. Moreover, as agents accumulate human capital, the economy achieves higher output levels, effectively addressing consumer privacy concerns. However, along the transitional path, insufficient data provision by both R&D sectors leads to lower economic growth rates or more intense economic fluctuations, necessitating policy interventions.

In the modern world, the main assets are immaterial ideas. Such assets are much more easily stolen than traditional factors such as physical capital and land. In this paper, we investigate the long-run growth effects of intellectual misappropriation at the R&D level. We adopt a generalized framework with both vertical and horizontal innovation. Inspired by recent evidence and by the patent law, we assume that only vertical innovations can be spied, because they are less easily patented than horizontal innovations. The main results are: (1) despite growing population, the fraction of labor engaged in spying activities tends to be constant; (2) in economies in which the R&D process is more vulnerable to ideas theft, growth rates are lower but product differentiation will be more intense; (3) intellectual misappropriation neutralizes the positive growth effect of R&D subsidies but not their positive level effects.