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Modern societies feature an increasing contact between cultures, yet we have a poor understanding of what the outcomes might be. Here we consider a mathematical model of contact between social groups, grounded in social psychology and…

Physics and Society · Physics 2008-04-29 Pierluigi Contucci , Ignacio Gallo , Stefano Ghirlanda

We study the interplay of population growth and evolutionary dynamics using a stochastic model based on birth and death events. In contrast to the common assumption of an independent population size, evolution can be strongly affected by…

Populations and Evolution · Quantitative Biology 2012-06-05 Jonas Cremer , Anna Melbinger , Erwin Frey

Understanding the evolution of cooperation is pivotal in biology and social science. Public resources sharing is a common scenario in the real world. In our study, we explore the evolutionary dynamics of cooperation on a regular graph with…

Populations and Evolution · Quantitative Biology 2024-01-02 Yuxin Geng , Xingru Chen

Cultural evolution allows ideas and technologies to accumulate across generations, reaching their most complex and open-ended form in humans. While social learning enables the transmission of such innovations, the cognitive processes that…

Multiagent Systems · Computer Science 2026-05-14 Anil Yaman , Shen Tian , Björn Lindström

Social interactions and personal tastes shape our consumption behavior of cultural products. In this study, we present a computational model of a cultural market and we aim to analyze the behavior of the consumer population as an emergent…

General Finance · Quantitative Finance 2008-12-02 Amac Herdagdelen , Haluk Bingol

Simple agent based exchange models are a commonplace in the study of wealth distribution of artificial societies. Generally, each agent is characterized by its wealth and by a risk-aversion factor, and random exchanges between agents allow…

Adaptation and Self-Organizing Systems · Physics 2009-11-11 G. M. Caon , S. Goncalves , J. R. Iglesias

People tend to align their use of language to the linguistic behaviour of their own ingroup and to simultaneously diverge from the language use of outgroups. This paper proposes to model this phenomenon of sociolinguistic identity…

Physics and Society · Physics 2020-11-25 Henri Kauhanen

Social fragmentation caused by widening differences among constituents has recently become a highly relevant issue to our modern society. Theoretical models of social fragmentation using the adaptive network framework have been proposed and…

Social and Information Networks · Computer Science 2019-11-12 Hiroki Sayama , Junichi Yamanoi

We consider a metapopulation made up of $K$ demes, each containing $N$ individuals bearing a heritable quantitative trait. Demes are connected by migration and undergo independent Moran processes with mutation and selection based on trait…

Probability · Mathematics 2025-03-18 Amaury Lambert , Hélène Leman , Hélène Morlon , Josué Tchouanti

In bacterial populations, cells are able to cooperate in order to yield complex collective functionalities. Interest in population-level cellular behaviour is increasing, due to both our expanding knowledge of the underlying biological…

Multiagent Systems · Computer Science 2012-11-07 Angel Goni-Moreno , Martyn Amos

The law of proportionate growth simply states that the time dependent change of a quantity $x$ is proportional to $x$. Its applicability to a wide range of dynamic phenomena is based on various assumptions for the proportionality factor,…

Physics and Society · Physics 2019-09-04 Frank Schweitzer

Evolutionary branching is analysed in a stochastic, individual-based population model under mutation and selection. In such models, the common assumption is that individual reproduction and life career are characterised by values of a…

Populations and Evolution · Quantitative Biology 2025-10-01 S. Sagitov , B. Mehlig , P. Jagers , V. Vatutin

Current-day genomes bear the mark of the evolutionary processes. One of the strongest indications is the sequence homology among families of proteins that perform similar biological functions in different species. The number of proteins in…

Biological Physics · Physics 2007-05-23 Joel S. Bader

Evolutionary game theory has impacted many fields of research by providing a mathematical framework for studying the evolution and maintenance of social and moral behaviors. This success is owed in large part to the demonstration that the…

Physics and Society · Physics 2024-06-03 José F. Fontanari

We study the evolution of behavioral rules in environments with multiple contexts. Agents copy rules used by better-performing peers in the same context and apply them across contexts. Multiple contexts turn discrete-time imitation dynamics…

Theoretical Economics · Economics 2026-05-08 Enrique Urbano Arellano , Xinyang Wang

Many socio-economic and biological processes can be modeled as systems of interacting individuals. The behaviour of such systems can be often described within game-theoretic models. In these lecture notes, we introduce fundamental concepts…

Populations and Evolution · Quantitative Biology 2013-05-30 Jacek Miekisz

In this paper, we wish to investigate the dynamics of information transfer in evolutionary dynamics. We use information theoretic tools to track how much information an evolving population has obtained and managed to retain about different…

Populations and Evolution · Quantitative Biology 2021-04-09 Nicholas Guttenberg

The selection pressures that have shaped the evolution of complex traits in humans remain largely unknown, and in some contexts highly contentious, perhaps above all where they concern mean trait differences among groups. To date, the…

Populations and Evolution · Quantitative Biology 2020-10-08 Arbel Harpak , Molly Przeworski

The profound impact of Darwin's theory of evolution on biology has led to the acceptance of the theory in many complex systems that lie well beyond its original domain. Culture is one example that also exhibits key Darwinian evolutionary…

Physics and Society · Physics 2019-03-07 Seungkyu Shin , Juyong Park

In ecology and population dynamics, gene-flow refers to the transfer of a trait from one population to another. This phenomenon appears in studying the evolution of social features, such as languages. From the mathematical point of view,…

Optimization and Control · Mathematics 2021-10-22 Idriss Mazari , Domenec Ruiz-Balet , Enrique Zuazua
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