Does the ranking of Covid-19 cases by municipality follow Zipf’s law (i.e. an estimated Pareto exponent of one)? This note tries to answer this question using daily data from Brazil for the Mar 30, 2020 -Oct 22, 2021 period. We used a Poisson Pseudo Maximum Likelihood (PPML) estimator and the...

This paper analyses the evolution of the European urban system from a long-term perspective (from 1300 to 1800) considering the historical data set of Bairoch et al. (1988). Using the method recently proposed by Clauset et al. (2009), a Pareto-type city size distribution (power law) is rejected...

We exploit the bilateral and skill dimensions from recent data sets of international migration to test for the existence of Zipf's and Gibrat's Laws in the context of aggregate and high-skilled international immigration and emigration using graphical, parametric and non-parametric analysis. The...

We exploit the bilateral and skill dimensions from recent data sets of international migration to test for the existence of Zipf's and Gibrat's Laws in the context of aggregate and high-skilled international immigration and emigration using graphical, parametric and non-parametric analysis. The...

This book provides the first comprehensive introduction to multi-agent, multi-choice repetitive games, such as the Kolkata Restaurant Problem and the Minority Game. It explains how the tangible formulations of these games, using stochastic strategies developed by statistical physicists employing...

We first demonstrate that, within a fully integrated economy (FIE) in which there is free mobility of goods and factors, each FIE member's share of total FIE output will equal its shares of the total FIE stock of each productive factor. This equal-share property implies that, if economic...

This paper considers the distribution of output and productive factors among members of a fully integrated economy (FIE). We demonstrate that each member's shares of total output and of total factors will be equal. This implies that growth in shares is random. If output and factor shares evolve...

An increasing amount of empirical evidence documents that city-size distribution within a country follows a power law, often in the form of Zipf’s law. This paper provides new comparative evidence on city size distribution across OECD countries. It uses a database where urban agglomerations...

Continuous Gibrat#x2019;s Law and Gabaix#x2019;s Derivation of Zipf#x2019;s Law -- Flow of Firm Creation -- Useful Properties of Realizations of the Geometric Brownian Motion -- Exit or #x201C;Death#x201D; of Firms -- Deviations from Gibrat#x2019;s Law and Implications for Generalized Zipf#x2019;s Laws -- Firm#x2019;s Sudden...