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We study the (hydro-)dynamics of multi-species driven by alignment. What distinguishes the different species is the protocol of their interaction with the rest of the crowd: the collective motion is described by different communication…

Analysis of PDEs · Mathematics 2020-10-20 Siming He , Eitan Tadmor

A local agglomeration of cooperators can support the survival or spreading of cooperation, even when cooperation is predicted to die out according to the replicator equation, which is often used in evolutionary game theory to study the…

Physics and Society · Physics 2009-03-06 Dirk Helbing

Most of previous studies concerning the Public Goods Game assume either participation is unconditional or the number of actual participants in a competitive group changes over time. How the fixed group size, prescribed by social…

Physics and Society · Physics 2015-05-13 Te Wu , Feng Fu , Long Wang

We present studies for an individual based model of three interacting populations whose individuals are mobile in a 2D-lattice. We focus on the pattern formation in the spatial distributions of the populations. Also relevant is the…

Populations and Evolution · Quantitative Biology 2007-12-18 I. C. Charret , M. V. Carneiro

Imitation is an important learning heuristic in animal and human societies. Previous explorations report that the fate of individuals with cooperative strategies is sensitive to the protocol of imitation, leading to a conundrum about how…

Physics and Society · Physics 2023-11-22 Xiaochen Wang , Lei Zhou , Alex McAvoy , Aming Li

Cooperation is a major factor in the evolution of human societies. The structure of human social networks, which affects the dynamics of cooperation and other interpersonal phenomena, have common structural signatures. One of these…

Social and Information Networks · Computer Science 2018-07-10 Babak Fotouhi , Naghmeh Momeni , Benjamin Allen , Martin A. Nowak

Here we study the effects of adopting different strategies against different opponent instead of adopting the same strategy against all of them in the prisoner dilemma structured in well-mixed populations. We consider an evolutionary…

Physics and Society · Physics 2015-05-14 Lucas Wardil , Jafferson K. L. da Silva

We discuss a model for evolutionary game dynamics in a growing, network-structured population. In our model, new players can either make connections to random preexisting players or preferentially attach to those that have been successful…

Physics and Society · Physics 2015-05-13 J. Poncela , J. Gomez-Gardenes , A. Traulsen , Y. Moreno

Repeated interaction between individuals is the main mechanism for maintaining cooperation in social dilemma situations. Variants of tit-for-tat (repeating the previous action of the opponent) and the win-stay lose-shift strategy are known…

Populations and Evolution · Quantitative Biology 2011-11-08 Shoma Tanabe , Naoki Masuda

Evolutionary game theory has provided substantial contributions to explain the emergence of cooperation under unfavourable conditions in ecology, economics, and the social sciences. Recently, inspired by newly available empirical evidence…

Physics and Society · Physics 2026-04-09 Jaume Llabrés , Onkar Sadekar , Federico Malizia , Federico Battiston

Cooperation among unrelated individuals is frequently observed in social groups when their members combine efforts and resources to obtain a shared benefit that is unachievable by an individual alone. However, understanding why cooperation…

How does social complexity depend on population size and cultural transmission? Kinship structures in traditional societies provide a fundamental illustration, where cultural rules between clans determine people's marriage possibilities.…

Physics and Society · Physics 2024-07-16 Kenji Itao , Kunihiko Kaneko

The internal behaviour of a population is an important feature to take account of when modelling their dynamics. In line with kin selection theory, many social species tend to cluster into distinct groups in order to enhance their overall…

Methodology · Statistics 2023-11-02 Blake McGrane-Corrigan , Oliver Mason , Rafael de Andrade Moral

We consider a model of adversarial dynamics consisting of three populations, labelled Blue, Green and Red, which evolve under a system of first order nonlinear differential equations. Red and Blue populations are adversaries and interact…

Dynamical Systems · Mathematics 2022-09-01 Mathew Zuparic , Sergiy Shelyag , Maia Angelova , Ye Zhu , Alexander Kalloniatis

This paper proposes a model to explain the potential role of inter-group conflicts in determining the rise and fall of signaling norms. Individuals in a population are characterized by high and low productivity types and they are matched in…

Populations and Evolution · Quantitative Biology 2023-08-08 Ethan Holdahl , Jiabin Wu

Microbes providing public goods are widespread in nature despite running the risk of being exploited by free-riders. However, the precise ecological factors supporting cooperation are still puzzling. Following recent experiments, we…

Populations and Evolution · Quantitative Biology 2012-03-28 Jonas Cremer , Anna Melbinger , Erwin Frey

Ecology and evolution are inherently linked, and studying a mathematical model that considers both holds promise of insightful discoveries related to the dynamics of cooperation. In the present article, we use the prisoner's dilemma (PD)…

Populations and Evolution · Quantitative Biology 2021-08-10 Sayantan Nag Chowdhury , Srilena Kundu , Jeet Banerjee , Matjaž Perc , Dibakar Ghosh

Motivated by the fact that the same social dilemma can be perceived differently by different players, we here study evolutionary multigames in structured populations. While the core game is the weak prisoner's dilemma, a fraction of the…

Physics and Society · Physics 2014-10-10 Zhen Wang , Attila Szolnoki , Matjaz Perc

Collective cooperation drives the dynamics of many natural, social, and economic phenomena, making understanding the evolution of cooperation with evolutionary game theory a central question of modern science. Although human interactions…

Physics and Society · Physics 2024-04-12 Yao Meng , Alex McAvoy , Aming Li

The interplay between space and evolution is an important issue in population dynamics, that is in particular crucial in the emergence of polymorphism and spatial patterns. Recently, biological studies suggest that invasion and evolution…

Probability · Mathematics 2016-08-16 Nicolas Champagnat , Sylvie Méléard
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