The existing literature about innovation processes focuses on a single process at a time and proposes models and tools in order to characterize how novelties arise, diffuse and initiate further novelties inside the considered process. However, it is doubtless important to understand if and how different innovation processes influence each other. In this work, we introduce an extremely general model for a collection of innovation processes in order to model and analyze the interaction among them. We provide theoretical results, analytically proven, and we show how the proposed model fits the behaviors observed in some real data sets (from Reddit and Gutenberg). It is worth mentioning that the given applications are only examples of the potentialities of the proposed model and related results: due to its abstractness and generality, it can be applied to many interacting innovation processes.
翻译:现有的关于创新过程的文献侧重于单个过程,并提出模型和工具来表征新颖性如何在考虑的过程中出现、扩散和启动进一步的新颖性。不过,理解不同的创新过程是否互相影响非常重要。在这项工作中,我们引入了一个极其通用的模型,以建模和分析它们之间的交互的创新过程的集合。我们提供了理论结果,被证明是有分析证明的,并展示了所提出的模型如何适应一些真实数据集中观察到的行为(来自 Reddit 和 Gutenberg)。值得一提的是,给定的应用只是所提出的模型和相关结果的潜力的例子:由于其抽象性和通用性,它可以应用于许多相互作用的创新过程。