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We study two agent based models of opinion formation - one stochastic in nature and one deterministic. Both models are defined in terms of an underlying graph; we study how the structure of the graph affects the long time behavior of the…

Dynamical Systems · Mathematics 2019-01-31 Dylan Weber , Ryan Theisen , Sebastien Motsch

This paper proposes a simple model to capture the complexity of multi-layer systems where their constituent layers affect, are affected by, each other. The physical layer is a circuit composed by a power source and resistors in parallel.…

Multiagent Systems · Computer Science 2016-02-09 Florian Kühnlenz , Pedro H. J. Nardelli

The microscopic organization of dynamical systems coupled via higher-order interactions plays a pivotal role in understanding their collective behavior. In this paper, we introduce a framework for systematically investigating the impact of…

Physics and Society · Physics 2025-01-14 Santiago Lamata-Otín , Federico Malizia , Vito Latora , Mattia Frasca , Jesús Gómez-Gardeñes

How does a group of agents break indecision when deciding about options with qualities that are hard to distinguish? Biological and artificial multi-agent systems, from honeybees and bird flocks to bacteria, robots, and humans, often need…

Dynamical Systems · Mathematics 2022-07-01 Alessio Franci , Martin Golubitsky , Ian Stewart , Anastasia Bizyaeva , Naomi Ehrich Leonard

We expect that democracy enables us to utilize collective intelligence such that our collective decisions build and enhance social welfare, and such that we accept their distributive and normative consequences. Collective decisions are…

Physics and Society · Physics 2021-04-06 Jan Lorenz , Martin Neumann

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

This work describes a collective decision-making dynamical process in a multiagent system under the assumption of cooperative higher-order interactions within the community, modeled as a hypernetwork. The nonlinear interconnected system is…

Optimization and Control · Mathematics 2025-09-08 Angela Fontan , Silun Zhang

Collective decision-making is a widespread phenomenon in both biological and artificial systems, where individuals reach a consensus through social interactions. While traditional models of opinion dynamics and contagion focus on pairwise…

Physics and Society · Physics 2025-10-02 David March-Pons , Romualdo Pastor-Satorras , M. Carmen Miguel

We explore how the mechanics of collective decision-making, especially of jury deliberation, can be inferred from macroscopic statistics. We first hypothesize that the dynamics of competing opinions can leave a "fingerprint" in the joint…

Physics and Society · Physics 2019-08-14 Keith Burghardt , William Rand , Michelle Girvan

We investigate the networks of Japanese corporate boards and its influence on the appointments of female board members. We find that corporate boards with women show homophily with respect to gender. The corresponding firms often have above…

General Economics · Economics 2023-02-17 Matthias Raddant , Hiroshi Takahashi

Though deliberation is a critical component of democratic decision-making, existing deliberative processes do not scale to large groups of people. Motivated by this, we propose a model in which large-scale decision-making takes place…

Computer Science and Game Theory · Computer Science 2016-06-07 Ashish Goel , David T. Lee

In this paper, the effects of graph gluing operations in networks of multi-agent systems and their impact on system performance are investigated. In many practical applications, multiple multi-agent subsystems must be interconnected through…

Multiagent Systems · Computer Science 2026-05-12 Rohollah Moghadam , Santosh Kandel

This paper presents a dynamic game framework to analyze the role of large banks in interbank markets. By extending existing models, we incorporate a large bank as a dynamic decision-maker interacting with multiple small banks. Using the…

Mathematical Finance · Quantitative Finance 2025-04-22 Yuanyuan Chang , Dena Firoozi , David Benatia

Coordinated human behaviour takes place within a diverse range of social organisational structures, which can be thought of as power structures with "managers" who influence "subordinates". A change in policy in one part of the organisation…

Adaptation and Self-Organizing Systems · Physics 2021-01-27 Charlie Pilgrim , Weisi Guo , Samuel Johnson

The relationship between the topology of a network and specific types of dynamics unfolding in networks constitutes a subject of substantial interest. One type of dynamics that has attracted increasing attention because of its several…

Understanding how opinions spread through a community or how consensus emerges in noisy environments can have a significant impact on our comprehension of social relations among individuals. In this work a model for the dynamics of opinion…

Physics and Society · Physics 2009-11-13 V. Schwammle , M. C. Gonzalez , A. A. Moreira , J. S. Jr. Andrade , H. J. Herrmann

We consider the question of determining how the topological structure influences a consensus dynamical process taking place on a network. By considering a large dataset of real-world networks we first determine that the removal of edges…

Physics and Society · Physics 2015-12-09 Ernesto Estrada , Eusebio Vargas-Estrada , Hiroyasu Ando

It is generally believed that in a situation where individual and collective interests are in conflict, the availability of optional participation is a key mechanism to maintain cooperation. Surprisingly, this effect is sensitive to the use…

Physics and Society · Physics 2023-06-21 Marcos Cardinot , Colm O'Riordan , Josephine Griffith , Attila Szolnoki

We analyze the effects of agents' decisions on the creation of congestion on a centralized network with ring-and-hub topology. We show that there are two classes of agents each displaying a distinct set of behaviours. The dynamics of the…

Physics and Society · Physics 2009-11-11 Sean Gourley , Neil F. Johnson

We study the evolution of cooperation in populations where individuals play prisoner's dilemma on a network. Every node of the network corresponds on an individual choosing whether to cooperate or defect in a repeated game. The players…

Social and Information Networks · Computer Science 2011-02-08 Vahideh H. Manshadi , Amin Saberi