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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…

最优化与控制 · 数学 2025-09-08 Angela Fontan , Silun Zhang

We propose and analyze a nonlinear dynamic model of continuous-time multi-dimensional belief formation over signed social networks. Our model accounts for the effects of a structured belief system, self-appraisal, internal biases, and…

物理与社会 · 物理学 2024-07-04 Anastasia Bizyaeva , Alessio Franci , Naomi Ehrich Leonard

We study a non-linear dynamical system on networks inspired by the pitchfork bifurcation normal form. The system has several interesting interpretations: as an interconnection of several pitchfork systems, a gradient dynamical system and…

动力系统 · 数学 2021-08-19 Karel Devriendt , Renaud Lambiotte

The frustration index is a key measure for analysing signed networks, which has been underused due to its computational complexity. We use an exact optimisation-based method to analyse frustration as a global structural property of signed…

社会与信息网络 · 计算机科学 2019-07-23 Samin Aref , Mark C. Wilson

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…

The models of collective decision-making considered in this paper are nonlinear interconnected cooperative systems with saturating interactions. These systems encode the possible outcomes of a decision process into different steady states…

最优化与控制 · 数学 2021-05-25 Angela Fontan , Claudio Altafini

We analyse signed networks from the perspective of balance theory which predicts structural balance as a global structure for signed social networks that represent groups of friends and enemies. The scarcity of balanced networks encouraged…

社会与信息网络 · 计算机科学 2019-01-23 Samin Aref

Understanding how group interactions influence opinion dynamics is fundamental to the study of collective behavior. In this work, we propose and study a model of opinion dynamics on $d$-uniform hypergraphs, where individuals interact…

物理与社会 · 物理学 2025-11-18 Thierry Njougouo , Timoteo Carletti , Elio Tuci

When choosing between candidate nest sites, a honeybee swarm reliably chooses the most valuable site and even when faced with the choice between near-equal value sites, it makes highly efficient decisions. Value-sensitive decision-making is…

最优化与控制 · 数学 2018-01-23 Rebecca Gray , Alessio Franci , Vaibhav Srivastava , Naomi Ehrich Leonard

We introduce a new framework for multiagent decision-making in queueing systems that leverages the agility and robustness of nonlinear opinion dynamics to break indecision during queue selection and to capture the influence of social…

最优化与控制 · 数学 2026-03-31 Mallory E. Gaspard , Naomi Ehrich Leonard

We propose a threshold decision-making framework for controlling the physical dynamics of an agent switching between two spatial tasks. Our framework couples a nonlinear opinion dynamics model that represents the evolution of an agent's…

机器人学 · 计算机科学 2024-06-10 Giovanna Amorim , María Santos , Shinkyu Park , Alessio Franci , Naomi Ehrich Leonard

We investigate a social system of agents faced with a binary choice. We assume there is a correct, or beneficial, outcome of this choice. Furthermore, we assume agents are influenced by others in making their decision, and that the agents…

种群与进化 · 定量生物学 2007-12-06 Andreas Gronlund , Petter Holme , Petter Minnhagen

We study systems of interacting reinforced stochastic processes, where agents' decisions evolve under reinforcement, network-mediated interactions, and environmental influences. In competitive environments with irreducible networks, we…

概率论 · 数学 2025-09-18 Michele Aleandri , Paolo Dai Pra , Ida Germana Minelli

This paper revisits the problem of multi-agent consensus from a graph signal processing perspective. By defining the graph filter from the consensus protocol, we establish the direct relation between average consensus of multi-agent systems…

系统与控制 · 计算机科学 2017-03-09 Jing-Wen Yi , Li Chai

A consumer Behaviour model is considered in the context of a network of interacting individuals in an energy market. We propose and analyse a simple dynamical model of an ensemble of coupled active elements mimicking consumers' Behaviour,…

适应与自组织系统 · 物理学 2014-01-29 Nick. J. McCullen , Mikhail. V. Ivanchenko , Vladimir. D. Shalfeev , William. F. Gale

Decision making is a fundamental capability of autonomous systems. As decision making is a process which happens over time, it can be well modeled by dynamical systems. Often, decisions are made on the basis of perceived values of the…

动力系统 · 数学 2020-03-10 Paul Reverdy

This paper addresses the bipartite consensus-control problem in open multi-agent systems containing both cooperative and antagonistic interactions. In these systems, new agents can join and new interactions can be formed over time.…

系统与控制 · 电气工程与系统科学 2025-05-01 Pelin Sekercioglu , Angela Fontan , Dimos V. Dimarogonas

Attitudinal Network Graphs are signed graphs where edges capture an expressed opinion; two vertices connected by an edge can be agreeable (positive) or antagonistic (negative). A signed graph is called balanced if each of its cycles…

社会与信息网络 · 计算机科学 2021-10-15 Lucas Rusnak , Jelena Tešić

This position paper states that AI Alignment in Multi-Agent Systems (MAS) should be considered a dynamic and interaction-dependent process that heavily depends on the social environment where agents are deployed, either collaborative,…

人工智能 · 计算机科学 2025-06-09 Florian Carichon , Aditi Khandelwal , Marylou Fauchard , Golnoosh Farnadi

We develop a model-independent framework to study the dynamics of decision-making in opinion networks for an arbitrary number of agents and an arbitrary number of options. Model-independence means that the analysis is not performed on a…

最优化与控制 · 数学 2020-09-10 Alessio Franci , Martin Golubitsky , Anastasia Bizyaeva , Naomi Ehrich Leonard
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