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We use analytical techniques based on an expansion in the inverse system size to study the stochastic evolutionary dynamics of finite populations of players interacting in a repeated prisoner's dilemma game. We show that a mechanism of…

Populations and Evolution · Quantitative Biology 2012-04-20 Alex J. Bladon , Tobias Galla , Alan J. McKane

The voter model has been studied extensively as a paradigmatic opinion dynamics' model. However, its ability for modeling real opinion dynamics has not been addressed. We introduce a noisy voter model (accounting for social influence) with…

Pairwise models are used widely to model epidemic spread on networks. These include the modelling of susceptible-infected-removed (SIR) epidemics on regular networks and extensions to SIS dynamics and contact tracing on more exotic networks…

Populations and Evolution · Quantitative Biology 2018-09-24 István Z. Kiss , Joel C. Miller , Péter L. Simon

Belief perseverance is the widely documented tendency of holding to a belief, even in the presence of contradicting evidence. In online environments, this tendency leads to heated arguments with users ``blocking'' each other. Introducing…

Physics and Society · Physics 2025-01-20 André Martin Timpanaro

A simple model of language evolution, proposed in \cite{K_N}, is characterized by a pay-off in communicative function, and by an error in learning, that measures the accuracy in language acquisition. In the mean field approximation, this…

Physics and Society · Physics 2007-12-28 J M Tavares , M M Telo da Gama , A Nunes

Two of the main factors shaping an individual's opinion are social coordination and personal preferences, or personal biases. To understand the role of those and that of the topology of the network of interactions, we study an extension of…

Physics and Society · Physics 2023-06-07 Filippo Zimmaro , Pierluigi Contucci , János Kertész

Models of threshold driven contagion explain the cascading spread of information, behavior, systemic risk, and epidemics on social, financial and biological networks. At odds with empirical observation, these models predict that…

Physics and Society · Physics 2019-10-23 Samuel Unicomb , Gerardo Iñiguez , János Kertész , Márton Karsai

We study the effects of animal social networks with a weighted pattern of interactions on the flocking transition exhibited by models of self-organized collective motion. Considering a model representing dynamics on a one-dimensional…

Physics and Society · Physics 2022-10-19 Jaume Ojer , Romualdo Pastor-Satorras

We investigate the emergence of periodic behavior in opinion dynamics and its underlying geometry. For this, we use a bounded-confidence model with contrarian agents in a convolution social network. This means that agents adapt their…

Multiagent Systems · Computer Science 2024-03-12 Bernard Chazelle , Kritkorn Karntikoon , Jakob Nogler

The varying-coefficient model is a strong tool for the modelling of interactions in generalized regression. It is easy to apply if both the variables that are modified as well as the effect modifiers are known. However, in general one has a…

Methodology · Statistics 2017-05-25 Moritz Berger , Gerhard Tutz , Matthias Schmid

We analyse the structure and behaviour of a specific voting network using a dynamic structure-based methodology which draws on Q-Analysis and social network theory. Our empirical focus is on the Eurovision Song Contest over a period of 20…

Physics and Society · Physics 2019-05-02 Serguei Saavedra , Janet Efstathiou , Felix Reed-Tsochas

We study the evolution of behavior under reinforcement learning in a Prisoner's Dilemma where agents interact in a regular network and can learn about whether they play one-shot or repeatedly by incurring a cost of deliberation. With…

Physics and Society · Physics 2024-03-28 Rossana Mastrandrea , Leonardo Boncinelli , Ennio Bilancini

Consider the voter model on a box of side length $L$ (in the triangular lattice) with boundary votes fixed forever as type 0 or type 1 on two different halves of the boundary. Motivated by analogous questions in percolation, we study…

Probability · Mathematics 2015-06-22 Mark Holmes , Yevhen Mohylevskyy , Charles M. Newman

The adaptive voter model allows for studying the interplay between homophily, the tendency of like-minded individuals to attract each other, and social influence, the tendency for connected individuals to influence each other. However, it…

Physics and Society · Physics 2023-03-21 Nikos Papanikolaou , Renaud Lambiotte , Giacomo Vaccario

Fluctuating environments are situations where the spatio-temporal stochasticity plays a significant role in the evolutionary dynamics. The study of the evolution of cooperation in these environments typically assumes a homogeneous, well…

Populations and Evolution · Quantitative Biology 2024-11-01 Viktor Stojkoski , Marko Karbevski , Zoran Utkovski , Lasko Basnarkov , Ljupco Kocarev

The spread of new products in a networked population is often modeled as an epidemic. However, in the case of `complex' contagion, these models {do not capture nuanced, dynamic social reinforcement effects in adoption behavior}. In this…

Systems and Control · Computer Science 2019-02-15 Sebastian F. Ruf , Keith Paarporn , Philip E. Paré

Network structure can affect when and how widely new ideas, products, and behaviors are adopted. In widely-used models of biological contagion, interventions that randomly rewire edges (on average making them "longer") accelerate spread.…

Social and Information Networks · Computer Science 2023-08-22 Dean Eckles , Elchanan Mossel , M. Amin Rahimian , Subhabrata Sen

Many social, technological, biological, and economical systems are best described by weighted networks, whose properties and dynamics depend not only on their structures but also on the connection weights among their nodes. However, most…

Disordered Systems and Neural Networks · Physics 2015-06-24 Chunguang Li , Guanrong Chen

We propose a minimal off-lattice model of living organisms where just a very few dynamical rules of growth are assumed. The stable coexistence of many clusters is detected when we replace the global restriction rule by a locally applied…

Physics and Society · Physics 2021-08-19 B. F. de Oliveira , M. V. de Moraes , D. Bazeia , A. Szolnoki

For most networks, the connection between two nodes is the result of their mutual affinity and attachment. In this paper, we propose a mutual selection model to characterize the weighted networks. By introducing a general mechanism of…

Statistical Mechanics · Physics 2009-11-11 Wen-Xu Wang , Bu Hu , Tao Zhou , Bing-Hong Wang , Yan-Bo Xie
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