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Families form the basis of society, and anthropologists have characterised various family systems. This study developed a multi-level evolutionary model of pre-industrial agricultural societies to simulate the evolution of family systems…

Physics and Society · Physics 2021-10-04 Kenji Itao , Kunihiko Kaneko

Population dynamics of a competitive two-species system under the influence of random events are analyzed and expressions for the steady-state population mean, fluctuations, and cross-correlation of the two species are presented. It is…

Populations and Evolution · Quantitative Biology 2020-02-19 M. M. Tehrani , S. Soltanieh

While generic competitive systems exhibit mixtures of hierarchy and cycles, real-world systems are predominantly hierarchical. We demonstrate and extend a mechanism for hierarchy; systems with similar agents approach perfect hierarchy in…

Populations and Evolution · Quantitative Biology 2024-02-12 Christopher Cebra , Alexander Strang

Understanding the evolutionary stability of cooperation is a central problem in biology, sociology, and economics. There exist only a few known mechanisms that guarantee the existence of cooperation and its robustness to cheating. Here, we…

Populations and Evolution · Quantitative Biology 2024-11-20 Lorenzo Fant , Onofrio Mazzarisi , Emanuele Panizon , Jacopo Grilli

Reproductive success and survival are influenced by wealth in human populations. Wealth is transmitted to offsprings and strategies of transmission vary over time and among populations, the main variation being how equally wealth is…

Physics and Society · Physics 2015-06-23 G. Augustins , L. Etienne , J-B. Ferdy , R. Ferrer , B. Godelle , E. Pitard , F. Rousset

Understanding the emergence of prosocial behaviours among self-interested individuals is an important problem in many scientific disciplines. Various mechanisms have been proposed to explain the evolution of such behaviours, primarily…

Dynamical Systems · Mathematics 2024-12-05 The Anh Han , Manh Hong Duong , Matjaz Perc

We propose a stochastic model of evolution of wealth in a society of economic agents. In the model, an agent can be in two states: inactive and active. Transitions between the states occur at random time intervals. In the active state, the…

Physics and Society · Physics 2007-05-23 Indrani Bose , Subhasis Banerjee

A general framework of evolutionary dynamics under heterogeneous populations is presented. The framework allows continuously many types of heterogeneous agents, heterogeneity both in payoff functions and in revision protocols and the entire…

Computer Science and Game Theory · Computer Science 2023-10-13 Dai Zusai

The impact of rising consumption on wealth inequality remains an open question. Here we revisit and extend the Social Architecture of Capitalism agent-based model proposed by Ian Wright, which reproduces stylized facts of wealth and income…

Physics and Society · Physics 2026-05-22 Jhordan Silveira de Borba , Celia Anteneodo , Sebastian Gonçalves

An equation for the evolution of the distribution of wealth in a population of economic agents making binary transactions with a constant total amount of "money" has recently been proposed by one of us (RLR). This equation takes the form of…

Adaptation and Self-Organizing Systems · Physics 2014-07-29 Yves Pomeau , Ricardo Lopez-Ruiz

Empirical distributions of wealth and income can be reproduced using simplified agent-based models of economic interactions, analogous to microscopic collisions of gas particles. Building upon these models of freely interacting agents, we…

Physics and Society · Physics 2020-03-10 Lennart Fernandes , Jacques Tempere

While wealth distribution in the world is highly skewed and heavy-tailed, human talent - as the majority of individual features - is normally distributed. In a recent computational study by Pluchino et al [Talent vs luck: The role of…

Physics and Society · Physics 2020-06-16 Damien Challet , Alessandro Pluchino , Alessio Emanuele Biondo , Andrea Rapisarda

Evolutionary graph theory is a well established framework for modelling the evolution of social behaviours in structured populations. An emerging consensus in this field is that graphs that exhibit heterogeneity in the number of connections…

Populations and Evolution · Quantitative Biology 2018-11-20 Wes Maciejewski , Feng Fu , Christoph Hauert

In nature and human societies, the effects of homogeneous and heterogeneous characteristics on the evolution of collective behaviors are quite different from each other. It is of great importance to understand the underlying mechanisms of…

General Finance · Quantitative Finance 2020-10-20 Wen-Juan Xu , Chen-Yang Zhong , Fei Ren , Tian Qiu , Rong-Da Chen , Yun-Xin He , Li-Xin Zhong

This work studies the impact of economic inequality on the evolution of intolerance through a reputation-based model of indirect reciprocity. Results show that economic inequality is a powerful enhancer of intolerance, inducing the…

Physics and Society · Physics 2024-01-17 Luis A. Martinez-Vaquero

Wealth inequality is an important matter for economic theory and policy. Ongoing debates have been discussing recent rise in wealth inequality in connection with recent development of active financial markets around the world. Existing…

General Finance · Quantitative Finance 2021-09-27 Yuri Biondi , Stefano Olla

How do individuals accumulate wealth as they interact economically? We outline the consequences of a simple microscopic model in which repeated pairwise exchanges of assets between individuals build the wealth distribution of a population.…

Physics and Society · Physics 2010-08-31 P. L. Krapivsky , S. Redner

A simple heuristic model, including the multiple exchanges between economic agents, is used to explain the mechanism of emerging and maintenance of social inequality in the market economy. The model allows calculating a density function of…

Biological Physics · Physics 2023-03-16 Vladimir Pokrovskii

Wealth inequality remains a critical socioeconomic challenge, driven by systemic dynamics and self-reinforcing mechanisms that amplify the economic imbalances. Simplified models from statistical physics provide valuable insights into the…

Physics and Society · Physics 2026-02-16 Lautaro Giordano , Ignacio Cortés , Sebastian Gonçalves , María Fabiana Laguna

A dynamical model of capital exchange is introduced in which a specified amount of capital is exchanged between two individuals when they meet. The resulting time dependent wealth distributions are determined for a variety of exchange…

Statistical Mechanics · Physics 2009-10-30 S. Ispolatov , P. L. Krapivsky , S. Redner