Innovation systems are complex systems that can exhibit scaling and emergent properties. Predictable and measurable scaling correlations exist between measures commonly used to characterize innovation systems and national economies. This paper examines scaling relationships between GERD & GDP...

We start from Gibrat’s law and quasi-inversion symmetry for three firm size variables (i.e., tangible fixed assets K, number of employees L, and sales Y) and derive a partial differential equation to be satisfied by the joint probability density function of K and L.We then transform K and L,...

We study Facebook networks at 40 American universities, with focus on the comparison of their degree distributions and mechanism governing their evolution. We find that the heterogeneity indexes of these networks are all small compared with scale-free networks, and different from real-world...

We discuss a special Pólya lattice model to study cascading failures of firms in a simple industrial economy. In particular, every firm is represented by a Pólya-like urn, whose reinforcement is function of time, of the neighboring urns and their compositions, and of a random variable...

Using a comprehensive international trade data set we investigate empirical regularities (known as Zipf’s Law or the rank-size rule) for the distribution of the interaction between countries as measured by revealed comparative advantage. Using the recently developed estimator by Gabaix and...

The paper discusses the utilization of social complexity studies to enhance our understanding on many social phenomena. The discussions brings the concept of uncertainty in almost everything of social realms and makes some points related to the empirical findings of the power-law distributions...

The paper explores utility measures by combining experiments with mathematical derivations in psychophysics paradigm. The analysis on ultimatum game experiment reveals an evidence for utility threshold and thus supports Bernoulli's utility logarithmic law. Both experimental results and...

Using the approach suggested by Gabaix (Econometrica 2011) this paper demonstrates that idiosyncratic shocks in the largest firms are important for an understanding of aggregate volatility in German manufacturing industries. The implications of this finding for theoretical and empirical research...

This article assesses whether the continuous time random walk (CTRW) model is useful in explaining and predicting fluctuations in the financial market dynamics. In service of this objective, we formalize the CTRW model for a financial market, and estimate some salient exponents of the model...

We discuss a mechanism through which inversion symmetry (i.e., invariance of a joint probability density function under the exchange of variables) and Gibrat’s law generate power-law distributions with different tail exponents. Using a dataset of firm size variables, that is, tangible fixed...