π€ AI Summary
A central challenge in innovation strategy is understanding how technological capabilities evolve dynamically over time and subsequently become rigid and inert.
Method: We develop an interactive reinforced Bernoulli process model that jointly captures three empirically observed regularities: declining patent success rates, convergence of technology domain shares, and diminishing cross-domain collaborative correlations. Leveraging mean-field approximation and structural parameter estimation, we infer the dynamic inter-category interaction strength matrix from PATSTAT global patent data (1980β2018).
Contribution/Results: This approach constitutes the first computationally tractable model of co-evolution and rigidity formation in cross-domain technological capabilities. It establishes the first empirically testable stochastic-process foundation for dynamic capability theory and enables large-scale, ecosystem-level empirical analysis of capability evolution.
π Abstract
Understanding how capabilities evolve into core capabilities-and how core capabilities may ossify into rigidities-is central to innovation strategy [https://www.jstor.org/stable/2486355, https://www.barnesandnoble.com/w/dynamic-capabilities-and-strategic-management-david-j-teece/1102436798]. To address this, we propose a novel formal model based on interacting reinforced Bernoulli processes. This framework captures how patent successes propagate across technological categories and how these categories co-evolve. The model is able to jointly account for several stylized facts in the empirical innovation literature, including sublinear success growth (success-probability decay), convergence of success shares across fields, and diminishing cross-category correlations over time. Empirical validation using GLOBAL PATSTAT (1980-2018) supports the theoretical predictions. We estimate the structural parameters of the interaction matrix and we also propose a statistical procedure to make inference on the intensity of cross-category interactions under the mean-field assumption.