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This paper considers the Byzantine consensus problem for nodes with binary inputs. The nodes are interconnected by a network represented as an undirected graph, and the system is assumed to be synchronous. Under the classical point-to-point…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-05-29 Muhammad Samir Khan , Syed Shalan Naqvi , Nitin H. Vaidya

Social consensus is important for society. Sometimes the success of society depends on a consensus (e.g. the decision to pay taxes or to commit to the constitution). Examples for continuous opinion dynamics are discussions about tax rates…

Physics and Society · Physics 2008-03-06 Jan Lorenz

A noncooperative differential (dynamic) game model of opinion dynamics is proposed. In this game, the agents' motives are shaped by their expectations of the nature of others' opinions as well as how susceptible they are to get influenced…

Optimization and Control · Mathematics 2020-02-25 Muhammad Umar B. Niazi , Arif Bülent Özgüler

The dynamics of opinion formation in large groups of people is a complex non-linear phenomenon whose investigation is just at the beginning. Both collective behaviour and personal view play an important role in this mechanism. In the…

Physics and Society · Physics 2010-02-17 M. Bartolozzi , B. Leinweber , A. W. Thomas

We study binary opinion dynamics in a fully connected network of interacting agents. The agents are assumed to interact according to one of the following rules: (1) Voter rule: An updating agent simply copies the opinion of another randomly…

Probability · Mathematics 2022-03-04 Arpan Mukhopadhyay , Ravi R. Mazumdar , Rahul Roy

In this paper, we study a model of opinion dynamics in a social network in the presence increasing interpersonal influence, i.e., increasing peer pressure. Each agent in the social network has a distinct social stress function given by a…

Social and Information Networks · Computer Science 2017-06-20 Justin Semonsen , Christopher Griffin , Anna Squicciarini , Sarah Rajtmajer

We propose a novel relaxation of the classic asynchronous network model, called the random asynchronous model, which removes adversarial message scheduling while preserving unbounded message delays and Byzantine faults. Instead of an…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-05-27 George Danezis , Jovan Komatovic , Lefteris Kokoris-Kogias , Alberto Sonnino , Igor Zablotchi

Digital money can be implemented efficiently by avoiding consensus. However, no-consensus implementations have drawbacks, as they cannot support smart contracts, and (even more fundamentally) they cannot deal with conflicting transactions.…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-10-05 Jakub Sliwinski , Yann Vonlanthen , Roger Wattenhofer

Social media platforms have transformed the dynamics of collective opinion formation, enabling rapid, large-scale interactions while simultaneously exposing online discourse to polarization and manipulation. Traditional models of opinion…

Physics and Society · Physics 2025-11-18 Shigefumi Hata , Renaud Lambiotte , Hiroya Nakao , Ryota Kobayashi

Opinions are an integral part of how we perceive the world and each other. They shape collective action, playing a role in democratic processes, the evolution of norms, and cultural change. For decades, researchers in the social and natural…

Physics and Society · Physics 2022-12-21 Antonio F. Peralta , János Kertész , Gerardo Iñiguez

We consider the problem of Byzantine fault-tolerance in the peer-to-peer (P2P) distributed gradient-descent method -- a prominent algorithm for distributed optimization in a P2P system. In this problem, the system comprises of multiple…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-02-01 Nirupam Gupta , Nitin H. Vaidya

Consensus formation and difference of opinion have long been the subject of research. However, relevant laws and systems within society are being updated to reflect the changes in information networks. Online environment has come to fulfill…

Social and Information Networks · Computer Science 2019-07-19 Yasuko Kawahata , Akira Ishii

Conventional consensus algorithms, such as Paxos and Raft, encounter inefficiencies when applied to large-scale distributed systems due to the requirement of waiting for replies from a majority of nodes. To address these challenges, we…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-03-13 Gengrui Zhang , Shiquan Zhang , Michail Bachras , Yuqiu Zhang , Hans-Arno Jacobsen

In social networks, interaction patterns typically change over time. We study opinion dynamics on tie-decay networks in which tie strength increases instantaneously when there is an interaction and decays exponentially between interactions.…

Social and Information Networks · Computer Science 2021-07-06 Kashin Sugishita , Mason A. Porter , Mariano Beguerisse-Díaz , Naoki Masuda

Opinion dynamics models how the publicly expressed opinions of users in a social network coevolve according to their neighbors as well as their own intrinsic opinion. Motivated by the real-world manipulation of social networks during the…

Social and Information Networks · Computer Science 2026-01-22 Akhil Jalan , Marios Papachristou

The spatial organization of individuals and their interactions in communities are important factors known to preserve diversity in many complex systems. Inspired by metapopulation models from ecology, we study opinion formation using a…

Physics and Society · Physics 2026-05-19 Tim Mauch , Thilo Gross

Most people simultaneously belong to several distinct social networks, in which their relations can be different. They have opinions about certain topics, which they share and spread on these networks, and are influenced by the opinions of…

Social and Information Networks · Computer Science 2017-06-12 Alexandre Reiffers-Masson , Vincent Labatut

We present a renormalization approach to solve the Sznajd opinion formation model on complex networks. For the case of two opinions, we present an expression of the probability of reaching consensus for a given opinion as a function of the…

Statistical Mechanics · Physics 2015-06-25 M. C. Gonzalez , A. O. Sousa , H. J. Herrmann

We propose an opinion dynamics model in which agents gradually increase their own self-confidence while interacting with each other. The relations between the newly proposed model and existing works of social learning, inertial opinion…

Optimization and Control · Mathematics 2016-09-20 Chu Wang

This work presents a consensus-based Bayesian framework to detect malicious user behavior in enterprise directory access graphs. By modeling directories as topics and users as agents within a multi-level interaction graph, we simulate…

Machine Learning · Computer Science 2026-03-05 Pratyush Uppuluri , Shilpa Noushad , Sajan Kumar
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