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Tolerance implies enduring trying circumstances with a fair and objective attitude. To determine whether evolutionary advantages might be stemming from diverse levels of tolerance in a population, we study a spatial public goods game, where…

Physics and Society · Physics 2016-08-04 Attila Szolnoki , Matjaz Perc

Explaining the wide range of dynamics observed in ecological communities is challenging due to the large number of species involved, the complex network of interactions among them, and the influence of multiple environmental variables.…

Populations and Evolution · Quantitative Biology 2025-03-28 Francesco Ferraro , Christian Grilletta , Emanuele Pigani , Samir Suweis , Sandro Azaele , Amos Maritan

The universal prevalence of cooperation is puzzling, as defection typically yields higher payoffs than cooperation, motivating searches for hidden pathways to cooperation. Here we study a game-theoretic model on a lattice structured…

Physics and Society · Physics 2026-03-12 Hyun Gyu Lee , Hyeong-Chai Jeong , Deok-Sun Lee

The behavior of interacting populations typically displays irregular temporal and spatial patterns that are difficult to reconcile with an underlying deterministic dynamics. A classical example is the heterogeneous distribution of plankton…

Populations and Evolution · Quantitative Biology 2009-11-13 M. H. Vainstein , J. M. Rubi , J. M. G. Vilar

According to the fundamental principle of evolutionary game theory, the more successful strategy in a population should spread. Hence, during a strategy imitation process a player compares its payoff value to the payoff value held by a…

Physics and Society · Physics 2021-07-07 A. Szolnoki , M. Perc

Containing the spreading of crime is a major challenge for society. Yet, since thousands of years, no effective strategy has been found to overcome crime. To the contrary, empirical evidence shows that crime is recurrent, a fact that is not…

Physics and Society · Physics 2013-09-02 Matjaz Perc , Karsten Donnay , Dirk Helbing

Synergy between evolutionary dynamics of cooperation and fluctuating state of shared resource being consumed by the cooperators is essential for averting the tragedy of the commons. Not only in humans, but also in the cognitively-limited…

Populations and Evolution · Quantitative Biology 2025-12-05 Samrat Sohel Mondal , Sagar Chakraborty

The emergence of collective motion, also known as flocking or swarming, in groups of moving individuals who orient themselves using only information from their neighbors is a very general phenomenon that is manifested at multiple spatial…

Statistical Mechanics · Physics 2016-04-26 David A. Quint , Ajay Gopinathan

Monitoring and reporting incorrect acts are pervasive for maintaining human cooperation, but in theory it is unclear how they influence each other. To explore their possible interactions we consider spatially structured population where…

Physics and Society · Physics 2018-12-11 Nanrong He , Xiaojie Chen , Attila Szolnoki

We present a simple mathematical model in which a time averaged pattern emerges out of spatio-temporal chaos as a result of the collective action of chaotic fluctuations. Our evolution equation possesses spatial translational symmetry under…

chao-dyn · Physics 2009-10-28 Shin-ichi Sasa

Cooperation for public goods poses a dilemma, where individuals are tempted to free ride on others' contributions. Classic solutions involve monitoring, reputation maintenance and costly incentives, but there are important collective…

Physics and Society · Physics 2020-04-30 Jeroen Bruggeman , Rudolf Sprik , Rick Quax

Cooperative dynamics are central to our understanding of many phenomena in living and complex systems. However, we lack a universal mechanism to explain the emergence of cooperation. We present a novel framework for modelling social dilemma…

Physics and Society · Physics 2025-02-27 Jay Armas , Wout Merbis , Janusz Meylahn , Soroush Rafiee Rad , Mauricio J. del Razo

The paper presents a model of two-speed evolution in which the payoffs in the population game (or, alternatively, the individual preferences) slowly adjust to changes in the aggregate behavior of the population. The model investigates how,…

Theoretical Economics · Economics 2021-06-16 George Loginov

Economic experiments reveal that humans value cooperation and fairness. Punishing unfair behavior is therefore common, and according to the theory of strong reciprocity, it is also directly related to rewarding cooperative behavior.…

Physics and Society · Physics 2013-11-28 Attila Szolnoki , Matjaz Perc

This tutorial presents cooperative and noncooperative game-theoretic frameworks for modeling, learning, and control in socio-technical systems, where human behavior, incentives, institutions, and social interactions are coupled with…

Systems and Control · Electrical Eng. & Systems 2026-05-19 Tamer Başar , Tomohisa Hayakawa , Hideaki Ishii , Quanyan Zhu

Fast scrambling, quantified by the exponential initial growth of Out-of-Time-Ordered-Correlators (OTOCs), is the ability to efficiently spread quantum correlations among the degrees of freedom of interacting systems, and constitutes a…

Quantum Physics · Physics 2023-05-04 Felix Meier , Mathias Steinhuber , Juan Diego Urbina , Daniel Waltner , Thomas Guhr

The perceived risk and reward for a given situation can vary depending on resource availability, accumulated wealth, and other extrinsic factors such as individual backgrounds. Based on this general aspect of everyday life, here we use…

Statistical Mechanics · Physics 2021-12-07 Marco A. Amaral , Marcelo M. de Oliveira

The emergence and maintenance of cooperation within sizable groups of unrelated humans offer many challenges for our understanding. We propose that the humans' capacity of communication, such as how many and how far away the fellows can…

Physics and Society · Physics 2009-09-29 Zi-Gang Huang , Sheng-Jun Wang , Xin-Jian Xu , Ying-Hai Wang

It is well known that behavioral changes in contact patterns may significantly affect the spread of an epidemic outbreak. Here we focus on simple endemic models for recurrent epidemics, by modelling the social contact rate as a function of…

Populations and Evolution · Quantitative Biology 2013-09-16 Alberto d'Onofrio , Piero Manfredi

We consider a couple of models for the dynamics of the populations of two interacting species, inspired by Lotka-Volterra's classical equations. The novelty of this work is that the interaction terms are non local and the interaction occurs…

Populations and Evolution · Quantitative Biology 2022-09-21 Mario I. Simoy , Marcelo N. Kuperman