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The term {\em complexity} is used informally both as a quality and as a quantity. As a quality, complexity has something to do with our ability to understand a system or object -- we understand simple systems, but not complex ones. On…

Adaptation and Self-Organizing Systems · Physics 2009-11-19 Russell K. Standish

Complexity remains one of the central challenges in science and technology. Although several approaches at defining and/or quantifying complexity have been proposed, at some point each of them seems to run into intrinsic limitations or…

Other Computer Science · Computer Science 2021-10-05 Luciano da F. Costa , Guilherme S. Domingues

We use the logistic equation to model the dynamics of the GDP and the trade of the six countries with the highest GDP in the world, namely, USA, China, Japan, Germany, UK and India. From the modelling of the economic data, which are made…

Physics and Society · Physics 2022-09-27 Abhin Kakkad , Arnab K. Ray

Measures of economic mobility represent aggregate values for how individual wealth changes over time. As such, these measures may not describe the feasibility of a typical individual to change their wealth. To address this limitation, we…

General Economics · Economics 2024-07-23 Viktor Stojkoski

In the context of a large class of stochastic processes used to describe the dynamics of wealth growth, we prove a set of inequalities establishing necessary and sufficient conditions in order to avoid infinite wealth concentration. These…

Theoretical Economics · Economics 2023-03-02 Valerio Astuti

We describe a new complex system model of an evolving production economy. This model is the simplest we can envisage which incorporates the new observation that the rate of an economic production process depends only on the minimum of its…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 A. Ponzi , A. Yasutomi , K. Kaneko

Predicting the future evolution of complex systems is one of the main challenges in complexity science. Based on a current snapshot of a network, link prediction algorithms aim to predict its future evolution. We apply here link prediction…

Physics and Society · Physics 2015-11-18 Alexandre Vidmer , An Zeng , Matúš Medo , Yi-Cheng Zhang

We introduce a simple model of economy, where the time evolution is described by an equation capturing both exchange between individuals and random speculative trading, in such a way that the fundamental symmetry of the economy under an…

Condensed Matter · Physics 2007-05-23 Jean-Philippe Bouchaud , Marc Mezard

One 'problem' with the 21st century world, particularly the economic and business worlds, is the phenomenal and increasing number of interconnections between economic agents (consumers, firms, banks, markets, national economies). This…

Computational Engineering, Finance, and Science · Computer Science 2012-08-28 Paolo Magrassi

In economic systems, the mix of products that countries make or export has been shown to be a strong leading indicator of economic growth. Hence, methods to characterize and predict the structure of the network connecting countries to the…

Physics and Society · Physics 2015-06-04 Sebastian Bustos , Charles Gomez , Ricardo Hausmann , Cesar A. Hidalgo

A model of distribution of the wealth in a society based on the properties of complex networks has been proposed. The wealth is interpreted as a consequence of communication possibilities and proportional to the number of connections…

Physics and Society · Physics 2010-10-12 D. Lande , A. Snarskii , M. Zhenirovskyy

Tax work is costly for society: Administrative tax labour is typically to a high degree shuffled off the government and onto every taxpayer by law. The higher the burden of any tax system, the costlier for society, as taxpayers are unable…

Computers and Society · Computer Science 2025-11-18 Christopher Mantzaris , Ajda Fosner

Entropy always increases monotonically in a closed system but complexity increases at first and then decreases as equilibrium is approached. Commonsense information-related definitions for entropy and complexity demonstrate that complexity…

Physics and Society · Physics 2025-03-26 Theodore Modis

Can one demonstrate quantitative effects of diversity within a system comprised of distinct individuals on the performance of the system as a whole? Assuming that individuals can be different, we develop a model to interpolate between…

Physics and Society · Physics 2023-04-18 Julie Rowlett , Carl-Joar Karlsson , Medet Nursultanov

A good understanding of cities is crucial to implement urban planning policies leading to social and economic sustainability and an efficient use of resources. While urban concentration has been associated with both positive and negative…

Physics and Society · Physics 2025-09-09 Gaëtan Laziou , Rémi Lemoy

We present an empirical analysis of the network formed by the trade relationships between all world countries, or World Trade Web (WTW). Each (directed) link is weighted by the amount of wealth flowing between two countries, and each…

Physics and Society · Physics 2009-02-06 D. Garlaschelli , T. Di Matteo , T. Aste , G. Caldarelli , M. I. Loffredo

Universal and rigorously derived concept of dynamic complexit (physics/9806002) shows that any system of interacting components, including society and civilisation, exists only as a process of highly inhomogeneous, qualitative development…

General Physics · Physics 2007-05-23 Andrei P. Kirilyuk

We consider the sectoral composition of a country's GDP, i.e. the partitioning into agrarian, industrial, and service sectors. Exploring a simple system of differential equations we characterize the transfer of GDP shares between the…

General Finance · Quantitative Finance 2014-09-15 Raphael Lutz , Michael Spies , Dominik E. Reusser , Jürgen P. Kropp , Diego Rybski

A dynamic model of the social relations between workers and capitalists is introduced. The model is deduced from the assumption that the law of value is an organising principle of modern economies. The model self-organises into a dynamic…

Condensed Matter · Physics 2011-03-24 Ian Wright

In several recent publications, Bettencourt, West and collaborators claim that properties of cities such as gross economic production, personal income, numbers of patents filed, number of crimes committed, etc., show super-linear…

Applications · Statistics 2015-03-19 Cosma Rohilla Shalizi