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We study a kinetic multi-agent framework coupling opinion dynamics with epidemic spreading, where individual social behaviour both affects and is affected by disease transmission. Each agent is characterised by an epidemiological state and…

Physics and Society · Physics 2026-03-13 Juan Pablo Pinasco , Nicolas Saintier , Horacio Tettamanti , Mattia Zanella

A hybrid observer is described for estimating the state of a system of the form dot x=Ax, y_i=C_ix, i=1,...,m. The system's state x is simultaneously estimated by m agents assuming agent i senses y_i and receives appropriately defined data…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-08-11 Lili Wang , Ji Liu , A. Stephen Morse

Social interactions often occur between three or more agents simultaneously. Examining opinion dynamics on hypergraphs allows one to study the effect of such polyadic interactions on the opinions of agents. In this paper, we consider a…

Social and Information Networks · Computer Science 2023-05-01 Weiqi Chu , Mason A. Porter

Opinion dynamics concerns social processes through which populations or groups of individuals agree or disagree on specific issues. As such, modelling opinion dynamics represents an important research area that has been progressively…

Physics and Society · Physics 2013-09-06 Alina Sîrbu , Vittorio Loreto , Vito D. P. Servedio , Francesca Tria

We study opinion dynamics in a social network with stubborn agents who influence their neighbors but who themselves always stick to their initial opinion. We consider first the well-known DeGroot model. While it is known in the literature…

Social and Information Networks · Computer Science 2019-12-10 Olle Abrahamsson , Danyo Danev , Erik G. Larsson

The heterogeneity of the influence processes is an important feature of social systems: how we perceive social influence and how we influence other individuals is heavily influenced by our opinion and non-opinion attributes. The latter…

Social and Information Networks · Computer Science 2022-09-07 Ivan V. Kozitsin

In this paper, we model a decision-making process involving a set of interacting agents. We use Markovian opinion dynamics, where each agent switches between decisions according to a continuous time Markov chain. Existing opinion dynamics…

Systems and Control · Electrical Eng. & Systems 2022-05-31 Carl-Johan Heiker , Paolo Falcone

An experiment replicated and extended recent findings on psychologically realistic ways of modeling propagation of uncertainty in rule based reasoning. Within a single production rule, the antecedent evidence can be summarized by taking the…

Artificial Intelligence · Computer Science 2021-07-02 Thomas R. Shultz

It is known that individual opinions on different policy issues often align to a dominant ideological dimension (e.g. "left" vs. "right") and become increasingly polarized. We provide an agent-based model that reproduces these two stylized…

Physics and Society · Physics 2020-10-28 Simon Schweighofer , David Garcia , Frank Schweitzer

This brief addresses the distributed consensus problem of nonlinear multi-agent systems under a general directed communication topology. Each agent is governed by higher-order dynamics with mismatched uncertainties, multiple completely…

Systems and Control · Electrical Eng. & Systems 2020-06-02 Gang Wang , Chaoli Wang , Zhengtao Ding , Yunfeng Ji

We propose an exactly solvable model for the dynamics of voters in a two-party system. The opinion formation process is modeled on a random network of agents. The dynamical nature of interpersonal relations is also reflected in the model,…

Physics and Society · Physics 2009-11-13 I. J. Benczik , S. Z. Benczik , B. Schmittmann , R. K. P. Zia

We introduce a new opinion dynamics model where a group of agents holds two kinds of opinions: inherent and declared. Each agent's inherent opinion is fixed and unobservable by the other agents. At each time step, agents broadcast their…

Systems and Control · Electrical Eng. & Systems 2022-05-04 Ali Jadbabaie , Anuran Makur , Elchanan Mossel , Rabih Salhab

We investigate mean-field dynamics of a nonlinear opinion formation model with congregator and contrarian agents. Each agent assumes one of the two possible states. Congregators imitate the state of other agents with a rate that increases…

Physics and Society · Physics 2013-12-25 Shoma Tanabe , Naoki Masuda

A classical approach to formal policy synthesis in stochastic dynamical systems is to construct a finite-state abstraction, often represented as a Markov decision process (MDP). The correctness of these approaches hinges on a behavioural…

Systems and Control · Electrical Eng. & Systems 2025-08-08 Thom Badings , Alessandro Abate

This paper investigates a robust positive consensus problem for a class of heterogeneous high-order multi-agent systems subject to external inputs. Compared with existing multi-agent consensus results, the most distinct feature of the…

Systems and Control · Electrical Eng. & Systems 2023-05-10 Ruonan Li , Yutao Tang , Shurong Li

We consider a constrained hierarchical opinion dynamics in the case of leaders' competition and with complete information among leaders. Each leaders' group tries to drive the followers' opinion towards a desired state accordingly to a…

Optimization and Control · Mathematics 2017-12-12 Giacomo Albi , Lorenzo Pareschi , Mattia Zanella

Dynamic contracts with multiple agents is a classical decentralized decision-making problem with asymmetric information. In this paper, we extend the single-agent dynamic incentive contract model in continuous-time to a multi-agent scheme…

Econometrics · Economics 2017-10-10 Qi Luo , Romesh Saigal

Multi-agent systems often operate under feedback, adaptation, and non-stationarity, yet many simulation studies retain static decision rules and fixed control parameters. This paper introduces a general adaptive multi-agent learning…

Multiagent Systems · Computer Science 2025-11-26 Roberto Garrone

We propose and investigate general kinetic models %of Boltzmann type with transition probabilities that can describe the simultaneous change of multiple microscopic states of the interacting agents. These models can be applied to many…

Mathematical Physics · Physics 2023-02-23 Marzia Bisi , Nadia Loy

We propose a minimal multi-agent model for the collective dynamics of opinion formation in the society, by modifying kinetic exchange dynamics studied in the context of income, money or wealth distributions in a society. This model has an…

Physics and Society · Physics 2015-05-19 Mehdi Lallouache , Anindya S. Chakrabarti , Anirban Chakraborti , Bikas K. Chakrabarti
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