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Cooperation is of utmost importance to society as a whole, but is often challenged by individual self-interests. While game theory has studied this problem extensively, there is little work on interactions within and across groups with…

Physics and Society · Physics 2010-10-14 Dirk Helbing , Anders Johansson

The impact of environmental fluctuation on species diversity is studied with a model of the evolutionary ecology of microorganisms. We show that environmental fluctuation induces evolutionary branching and assures the consequential…

Populations and Evolution · Quantitative Biology 2015-05-13 Masashi Tachikawa

One essential ingredient of evolutionary theory is the concept of fitness as a measure for a species' success in its living conditions. Here, we quantify the effect of environmental fluctuations onto fitness by analytical calculations on a…

Populations and Evolution · Quantitative Biology 2015-05-19 Anna Melbinger , Massimo Vergassola

Cells generally change their internal state to adapt to an environmental change, and accordingly evolve in response to the new conditions. This process involves phenotypic changes that occur over several different time scales, ranging from…

Populations and Evolution · Quantitative Biology 2015-02-03 Chikara Furusawa , Kunihiko Kaneko

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

This brief discusses evolutionary game theory as a powerful and unified mathematical tool to study evolution of collective behaviours. It summarises some of my recent research directions using evolutionary game theory methods, which include…

Multiagent Systems · Computer Science 2023-11-27 The Anh Han

Ecology and evolution are inseparable. Motivated by some recent experiments, we have developed models of evolutionary ecology from the perspective of dynamic networks. In these models, in addition to the intra-node dynamics, which…

Populations and Evolution · Quantitative Biology 2009-11-10 Debashish Chowdhury , Dietrich Stauffer

Microscopic strategy update rules play an important role in the evolutionary dynamics of cooperation among interacting agents on complex networks. Many previous related works only consider one \emph{fixed} rule, while in the real world,…

Optimization and Control · Mathematics 2023-11-27 Shengxian Wang , Weijia Yao , Ming Cao , Xiaojie Chen

The functioning of animal as well as human societies fundamentally relies on cooperation. Yet, defection is often favorable for the selfish individual, and social dilemmas arise. Selection by individuals' fitness, usually the basic driving…

Populations and Evolution · Quantitative Biology 2009-09-26 Jonas Cremer , Tobias Reichenbach , Erwin Frey

Biodiversity and extinction are central issues in evolution. Dynamical balance among different species in ecosystems is often described by deterministic replicator equations with moderate success. However, fluctuations are inevitable,…

Populations and Evolution · Quantitative Biology 2014-11-25 Tsung-Cheng Lu , Yi-Ko Chen , Hsiu-Hau Lin , Chun-Chung-Chen

The psychology of the individual is continuously changing in nature, which has a significant influence on the evolutionary dynamics of populations. To study the influence of the continuously changing psychology of individuals on the…

Social and Information Networks · Computer Science 2025-02-11 Minyu Feng , Bin Pi , Liang-Jian Deng , Jürgen Kurths

Global change is reshaping ecosystems and societies. Strategic choices that were best yesterday may be sub-optimal tomorrow; and environmental conditions that were once taken for granted may soon cease to exist. In this setting, how people…

Populations and Evolution · Quantitative Biology 2024-04-23 Andrew R. Tilman , Vítor V. Vasconcelos , Erol Akçay , Joshua B. Plotkin

This is an introduction to the special issue titled "Collective behavior and evolutionary games" that is in the making at Chaos, Solitons & Fractals. The term collective behavior covers many different phenomena in nature and society. From…

Physics and Society · Physics 2013-07-01 Matjaz Perc , Paolo Grigolini

In this letter, we deal with evolutionary game theoretic learning processes for population games on networks with dynamically evolving communities. Specifically, we propose a novel mathematical framework in which a deterministic,…

Social and Information Networks · Computer Science 2022-03-02 Alain Govaert , Lorenzo Zino , Emma Tegling

Uncertainty, characterised by randomness and stochasticity, is ubiquitous in applications of evolutionary game theory across various fields, including biology, economics and social sciences. The uncertainty may arise from various sources…

Populations and Evolution · Quantitative Biology 2024-11-04 Manh Hong Duong , The Anh Han

Complex social behaviors lie at the heart of many of the challenges facing evolutionary biology, sociology, economics, and beyond. For evolutionary biologists in particular the question is often how such behaviors can arise \textit{de novo}…

Populations and Evolution · Quantitative Biology 2015-11-18 Alexander J. Stewart , Joshua B. Plotkin

Elucidating the mechanisms that lead to cooperation is still one of the main scientific challenges of current times, as many common cooperative scenarios remain elusive and at odds with Darwin's natural selection theory. Here, we study…

Physics and Society · Physics 2021-07-14 H. Guo , D. Jia , I. Sendiña-Nadal , M. Zhang , Z. Wang , X. Li , K. Alfaro-Bittner , Y. Moreno , S. Boccaletti

Coordination games with explicit spatial or relational structure are of interest to economists, ecologists, sociologists, and others studying emergent global properties in collective behavior. When assemblies of individuals seek to…

Dynamical Systems · Mathematics 2025-06-18 John S. McAlister , Nina H. Fefferman , Tadele A. Mengesha

Biochemistry, ecology, and neuroscience are examples of prominent fields aiming at describing interacting systems that exhibit non-trivial couplings to complex, ever-changing environments. We have recently shown that linear interactions and…

Statistical Mechanics · Physics 2022-08-10 Giorgio Nicoletti , Daniel Maria Busiello

We introduce a non-diffusive spatial coupling term into the replicator equation of evolutionary game theory. The spatial flux is based on motion due to local gradients in the relative fitness of each strategy, providing a game-dependent…

Pattern Formation and Solitons · Physics 2015-06-12 Russ deForest , Andrew Belmonte