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We present an agent-based model of microscopic wealth exchange in a dynamic network to study the topological features associated with economic inequality. The model evolves through two alternating processes, the conservative exchange of…

Physics and Society · Physics 2024-08-30 Gustavo Kohlrausch , Sebastián Gonçalves

We analyze the fluctuations in the gross domestic product (GDP) of 152 countries for the period 1950--1992. We find that (i) the distribution of annual growth rates for countries of a given GDP decays with ``fatter'' tails than for a…

Statistical Mechanics · Physics 2009-10-31 Youngki Lee , Luis A. N. Amaral , David Canning , Martin Meyer , H. Eugene Stanley

A mean-field like stochastic evolution equation with growth and reset terms (LGGR model) is used to model wealth distribution in modern societies. The stationary solution of the model leads to an analytical form for the density function…

Physics and Society · Physics 2021-07-14 Istvan Gere , Szabolcs Kelemen , Geza Toth , Tamas Biro , Zoltan Neda

Many modern areas have not learned their lessons and often hope for the wisdom of later generations, resulting in them only possessing modern technology and difficult to iterate ancient civilizations. At present, there is no way to tell how…

Physics and Society · Physics 2026-04-29 Hongfa Zi , Zhen Liu

We develop a statistical framework for wealth allocation in which agents hold discrete units of wealth and macrostates are defined by how wealth is distributed across agents. The structure of the economic state space is characterized…

Physics and Society · Physics 2026-02-04 Korak Biswas

A model for the evolution of a finite population in a rugged fitness landscape is introduced and solved. The population is trapped in an evolutionary loop, alternating periods of stasis to periods in which it performs adaptive walks. The…

Disordered Systems and Neural Networks · Physics 2009-10-31 Luca Peliti

Finding the most powerful node in a dynamic random network, the largest set in a partition-valued stochastic process, or the largest family in an evolving population at a given time, can be a very difficult problem. This is particularly the…

Probability · Mathematics 2020-09-09 Cécile Mailler , Peter Mörters , Anna Senkevich

In setting up a stochastic description of the time evolution of a financial index, the challenge consists in devising a model compatible with all stylized facts emerging from the analysis of financial time series and providing a reliable…

Statistical Finance · Quantitative Finance 2009-11-13 Fulvio Baldovin , Attilio L. Stella

Economic growth and the growth of human population in the past 2,000,000 years are extensively examined. Data are found to be in a clear contradiction of the currently accepted explanations of the mechanism of growth, which revolve around…

Economics · Quantitative Finance 2017-10-06 Ron W. Nielsen

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

Based on the stochastic model proposed by Patriarca-Kaski-Chakraborti that describes the exchange of wealth between $n$ economic agents, we analyze the evolution of the corresponding economies under the assumption of a Gaussian background,…

General Finance · Quantitative Finance 2011-02-25 J. M. Pellon-Diaz , A. Aragones-Munoz , A. Sandoval-Villalbazo , A. Diaz-Reynoso

Known as two cornerstones of problem solving by search, exploitation and exploration are extensively discussed for implementation and application of evolutionary algorithms (EAs). However, only a few researches focus on evaluation and…

Neural and Evolutionary Computing · Computer Science 2020-01-30 Yu Chen , Jun He

Time series that display periodicity can be described with a Fourier expansion. In a similar vein, a recently developed formalism enables description of growth patterns with the optimal number of parameters (Elitzur et al, 2020). The method…

Econometrics · Economics 2022-02-01 Moshe Elitzur

Population-based evolutionary algorithms (EAs) have been widely applied to solve various optimization problems. The question of how the performance of a population-based EA depends on the population size arises naturally. The performance of…

Neural and Evolutionary Computing · Computer Science 2013-05-13 Jun He , Tianshi Chen , Boris Mitavskiy

Epochal dynamics, in which long periods of stasis in an evolving population are punctuated by a sudden burst of change, is a common behavior in both natural and artificial evolutionary processes. We analyze the population dynamics for a…

adap-org · Physics 2007-05-23 Erik van Nimwegen , James P. Crutchfield

We study wealth rank correlations in a simple model of macro-economy. To quantify rank correlations between wealth rankings at different times, we use Kendall's $\tau$ and Spearman's $\rho$, Goodman--Kruskal's $\gamma$, and the lists'…

Theoretical Economics · Economics 2021-07-02 Zdzislaw Burda , Malgorzata J. Krawczyk , Krzysztof Malarz , Malgorzata Snarska

The relaxation time approximation (RTA) is a well known method of describing the time evolution of a statistical ensemble by linking distributions of the variables of interest at different stages of their temporal evolution. We show that if…

Statistical Mechanics · Physics 2021-07-12 Grzegorz Wilk , Zbigniew Włodarczyk

The continuous interest in the social network area contributes to the fast development of this field. The new possibilities of obtaining and storing data facilitate deeper analysis of the entire network, extracted social groups and single…

Social and Information Networks · Computer Science 2012-07-24 Piotr Bródka , Stanisław Saganowski , Przemysław Kazienko

The growth rate of real GDP per capita in the biggest OECD countries is represented as a sum of two components - a steadily decreasing trend and fluctuations related to the change in some specific age population. The long term trend in the…

General Finance · Quantitative Finance 2012-05-28 Ivan Kitov , Oleg Kitov

In this paper, I endeavour to construct a new model, by extending the classic exogenous economic growth model by including a measurement which tries to explain and quantify the size of technological innovation ( A ) endogenously. I do not…

Econometrics · Economics 2018-05-03 Murad Kasim
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