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We present numerical results on a complex dynamical model for the aggregation of many individual rankings of S alternatives by the pairwise majority rule under a deliberative scenario. Agents are assumed to interact when the Kemeny distance…

物理与社会 · 物理学 2009-11-13 G. L. Columbu , A. De Martino , A. Giansanti

We generalize a binary majority-vote model on adaptive networks to a plurality-vote counterpart. When opinions are uniformly distributed in the population of voters in the initial state, it is found that having more available opinions in…

物理与社会 · 物理学 2016-06-24 Degang Wu , Kwok Yip Szeto

In this work we study opinion formation in a population participating of a public debate with two distinct choices. We considered three distinct mechanisms of social interactions and individuals' behavior: conformity, nonconformity and…

物理与社会 · 物理学 2015-12-11 Nuno Crokidakis , Paulo Murilo Castro de Oliveira

We define a stochastic reaction-diffusion process that describes a consensus formation in a non-sedentary population. The process is a diffusive version of the Majority Vote model, where the state update follows two stages: in the first…

统计力学 · 物理学 2022-03-14 J. R. S. Lima , F. W. S. Lima , T. F. A. Alves , G. A. Alves , A. Macedo-Filho

We generalize a binary majority-vote model on adaptive networks to its plurality-vote counterpart and analyze the time scale to consensus when voters are given more than two options. When opinions are uniformly distributed in the population…

物理与社会 · 物理学 2018-05-01 Degang Wu , K. Y. Szeto

We investigate majority rule dynamics in a population with two classes of people, each with two opinion states $\pm 1$, and with tunable interactions between people in different classes. In an update, a randomly selected group adopts the…

统计力学 · 物理学 2021-06-23 P. L. Krapivsky , S. Redner

Voting is an important social activity for expressing public opinions. By conceptually considering a group of voting agents to be intelligent matter, the impact of real-time information on voting results is quantitatively studied by an…

统计力学 · 物理学 2026-03-16 Guanyu Xu , Jiahang Chen , Xin Zhou , Yanting Wang

We study through Monte Carlo simulations and finite-size scaling analysis the nonequilibrium phase transitions of the majority-vote model taking place on spatially embedded networks. These structures are built from an underlying regular…

The voter model consists of a set of agents whose opinion is a binary variable. At each time step, an agent along with a social neighbor is selected and the agent imitates the social neighbor at the next time step. In this paper, we study a…

概率论 · 数学 2023-07-06 Hsin-Lun Li

A new mean field statistical mechanics model of two interacting groups of spins is introduced and the phase transition studied in terms of their relative size. A jump of the average magnetization is found for large values of the mutual…

物理与社会 · 物理学 2009-11-13 Pierluigi Contucci , Ignacio Gallo , Giulia Menconi

We consider the Ising model for two interacting groups of spins embedded in an Erd\"{o}s-R\'{e}nyi random graph. The critical properties of the system are investigated by means of extensive Monte Carlo simulations. Our results evidence the…

统计力学 · 物理学 2010-09-02 Elena Agliari , Raffaella Burioni , Paolo Sgrignoli

Strongly opinionated minorities can have a dramatic impact on the opinion dynamics of a large population. Two factions of inflexible minorities, polarised into two competing opinions, could lead the entire population to persistent…

生物物理 · 物理学 2023-07-26 Andreagiovanni Reina , Raina Zakir , Giulia De Masi , Eliseo Ferrante

A current paradigm in computer simulation studies of social sciences problems by physicists is the emergence of consensus. The question is to establish when the dynamics of a set of interacting agents that can choose among several options…

物理与社会 · 物理学 2007-09-25 Maxi San Miguel , Víctor M. Eguíluz , Raúl Toral , Konstantin Klemm

We focus on the majority model in a topology consisting of two coupled fully-connected networks, thereby mimicking the existence of communities in social networks. We show that a transition takes place at a value of the inter-connectivity…

物理与社会 · 物理学 2007-06-13 R. Lambiotte , M. Ausloos , J. Holyst

We study a model of a population making a binary decision based on information spreading within the population, which is fully connected or covering a square grid. We assume that a fraction of the population wants to make the choice of the…

物理与社会 · 物理学 2016-05-24 Petter Holme , Hang-Hyun Jo

The Majority Rule is applied to a topology that consists of two coupled random networks, thereby mimicking the modular structure observed in social networks. We calculate analytically the asymptotic behaviour of the model and derive a phase…

物理与社会 · 物理学 2012-08-31 R. Lambiotte , M. Ausloos

We introduce a simple model of opinion dynamics in which binary-state agents evolve due to the influence of agents in a local neighborhood. In a single update step, a fixed-size group is defined and all agents in the group adopt the state…

统计力学 · 物理学 2009-11-10 M. Mobilia , S. Redner

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…

概率论 · 数学 2022-03-04 Arpan Mukhopadhyay , Ravi R. Mazumdar , Rahul Roy

The adaptive voter model allows for studying the interplay between homophily, the tendency of like-minded individuals to attract each other, and social influence, the tendency for connected individuals to influence each other. However, it…

物理与社会 · 物理学 2023-03-21 Nikos Papanikolaou , Renaud Lambiotte , Giacomo Vaccario

The Ising model, originally developed for understanding magnetic phase transitions, has become a cornerstone in the study of collective phenomena across diverse disciplines. In this review, we explore how Ising and Ising-like models have…

物理与社会 · 物理学 2025-07-01 Pratik Mullick , Parongama Sen
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