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This paper focuses on describing the impact of policy actions on individuals' opinions in the presence of social and external influences toward proposing preliminary nudging strategies to achieve a cost-effectiveness trade-off. To this end,…

Systems and Control · Electrical Eng. & Systems 2025-02-04 Valentina Breschi , Chiara Ravazzi , Paolo Frasca , Fabrizio Dabbene , Mara Tanelli

Decision making is the cognitive process of selecting a course of action among multiple alternatives. As the decision maker belongs to a complex microenvironment (which contains multiple decision makers), has to make a decision where…

Physics and Society · Physics 2024-06-25 Manish Gupta , Arnab Barua , Haralampos Hatzikirou

We study a \emph{Plurality-Consensus} process in which each of $n$ anonymous agents of a communication network initially supports an opinion (a color chosen from a finite set $[k]$). Then, in every (synchronous) round, each agent can revise…

Discrete Mathematics · Computer Science 2015-07-28 Luca Becchetti , Andrea Clementi , Emanuele Natale , Francesco Pasquale , Riccardo Silvestri , Luca Trevisan

We consider an evolving network of a fixed number of nodes. The allocation of edges is a dynamical stochastic process inspired by biological reproduction dynamics, namely by deleting and duplicating existing nodes and their edges. The…

Statistical Mechanics · Physics 2007-09-14 Henrik Jeldtot Jensen

Motivated by the literature on opinion dynamics and evolutionary game theory, we propose a novel mathematical framework to model the intertwined coevolution of opinions and decision-making in a complex social system. In the proposed…

Social and Information Networks · Computer Science 2021-03-02 Lorenzo Zino , Mengbin Ye , Ming Cao

Group model selection is the problem of determining a small subset of groups of predictors (e.g., the expression data of genes) that are responsible for majority of the variation in a response variable (e.g., the malignancy of a tumor).…

Statistics Theory · Mathematics 2018-03-06 Waheed U. Bajwa , Dustin G. Mixon

The coevolutionary dynamics in finite populations currently is investigated in a wide range of disciplines, as chemical catalysis, biological evolution, social and economic systems. The dynamics of those systems can be formulated within the…

Populations and Evolution · Quantitative Biology 2012-06-12 Jens Christian Claussen

Multi-agent systems in biology, society, and engineering are capable of making decisions through the dynamic interaction of their elements. Nonlinearity of the interactions is key for the speed, robustness, and flexibility of multi-agent…

Dynamical Systems · Mathematics 2024-10-02 Rodrigo Moreno-Morton , Anastasia Bizyaeva , Naomi Ehrich Leonard , Alessio Franci

How do social animals make effective decisions in the absence of a leader? While coordination can improve accuracy, it also introduces delays as information propagates through the group. In changing environments, these delays can outweigh…

Populations and Evolution · Quantitative Biology 2026-02-13 Hyunjoong Kim , Zachary Kilpatrick , Kresimir Josic

This paper employs the Friedkin-Johnsen (FJ) model to describe the dynamics of opinion evolution within a social network. Under the FJ framework, the society is divided into two subgroups that include stubborn agents and regular agents. The…

Systems and Control · Electrical Eng. & Systems 2025-09-09 Hossein Rastgoftar

Decision making can be difficult when there are many actors (or agents) who may be coordinating or competing to achieve their various ideas of the optimum outcome. Here I present a simple decision making model with an explicitly…

Multiagent Systems · Computer Science 2024-04-29 Paul Kinsler

We study a population of $N$ particles, which evolve according to a diffusion process and interact through a dynamical network. In turn, the evolution of the network is coupled to the particles' positions. In contrast with the mean-field…

Mathematical Physics · Physics 2020-10-14 Julien Barré , Paul Dobson , Michela Ottobre , Ewelina Zatorska

Confirmation bias and peer pressure both have substantial impacts on the formation of collective decisions. Nevertheless, few attempts have been made to study how the interplay between these two mechanisms affects public opinion evolution.…

Physics and Society · Physics 2020-12-22 Longzhao Liu , Xin Wang , Shaoting Tang , Zhiming Zheng

In recent years, opinion dynamics has received an increasing attention, and various models have been introduced and evaluated mainly by simulation. In this study, we introduce and study a dynamical model inspired by the so-called `bounded…

Dynamical Systems · Mathematics 2018-11-07 Sergei Yu. Pilyugin , M. C. Campi

Consider the following process on a network: Each agent initially holds either opinion blue or red; then, in each round, each agent looks at two random neighbors and, if the two have the same opinion, the agent adopts it. This process is…

Social and Information Networks · Computer Science 2020-11-17 Emilio Cruciani , Emanuele Natale , André Nusser , Giacomo Scornavacca

Investigation of social influence dynamics requires mathematical models that are "simple" enough to admit rigorous analysis, and yet sufficiently "rich" to capture salient features of social groups. Thus, the mechanism of iterative opinion…

Systems and Control · Computer Science 2019-09-20 Anton V. Proskurnikov , Roberto Tempo , Ming Cao , Noah E. Friedkin

In some systems, the behavior of the constituent units can create a `context' that modifies the direct interactions among them. This mechanism of indirect modification inspired us to develop a minimal model of context-dependent spreading.…

Physics and Society · Physics 2023-06-13 Giulio Burgio , Sergio Gómez , Alex Arenas

We study a model of binary decisions in a fully connected network of interacting agents. Individual decisions are determined by social influence, coming from direct interactions with neighbours, and a group level pressure that accounts for…

Probability · Mathematics 2021-10-27 Michele Aleandri , Ida Germana Minelli

In social dilemmas self-interested learning agents face the choice between the societal benefit of cooperation and the immediate reward of defection. Significant evidence exists on the benefits of assortment mechanisms such as partner…

Multiagent Systems · Computer Science 2026-05-19 Benedict Russell , Chin-wing Leung , Paolo Turrini

The emergence of collective decision in swarms and their coordinated response to complex environments underscore the central role played by social transmission of information. Here, the different possible origins of information flow…

Adaptation and Self-Organizing Systems · Physics 2017-05-23 Mohammad Komareji , Yilun Shang , Roland Bouffanais
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