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We introduce the threshold $q$-voter opinion dynamics where an agent, facing a binary choice, can change its mind when at least $q_0$ amongst $q$ neighbors share the opposite opinion. Otherwise, the agent can still change its mind with a…

物理与社会 · 物理学 2018-07-11 Allan R. Vieira , Celia Anteneodo

We investigate an extension of the voter model in which voters are equipped with an individual inertia to change their opinion. This inertia depends on the persistence time of a voter's current opinion (ageing). We focus on the case of only…

物理与社会 · 物理学 2009-04-07 Hans-Ulrich Stark , Claudio J. Tessone , Frank Schweitzer

This paper introduces a model for opinion dynamics, where at each time step, randomly selected agents see their opinions - modeled as scalars in [0,1] - evolve depending on a local interaction function. In the classical Bounded Confidence…

多智能体系统 · 计算机科学 2020-06-11 Elisabetta Cornacchia , Neta Singer , Emmanuel Abbe

The voter model is a classical interacting particle system modelling how consensus is formed across a network. We analyse the time to consensus for the voter model when the underlying graph is a subcritical scale-free random graph.…

概率论 · 数学 2020-06-02 John Fernley , Marcel Ortgiese

Independent voters play an increasingly decisive role in contemporary elections, yet their collective behavior remains poorly understood. This paper investigates how a minority of voters with greater flexibility in their political…

物理与社会 · 物理学 2025-12-22 Ernő Buzás , Attila Szilva

Much of the success of multi-agent debates depends on carefully choosing the right parameters. The decision-making protocol stands out as it can highly impact final model answers, depending on how decisions are reached. Systematic…

多智能体系统 · 计算机科学 2025-10-01 Lars Benedikt Kaesberg , Jonas Becker , Jan Philip Wahle , Terry Ruas , Bela Gipp

Modeling social interactions based on individual behavior has always been an area of interest, but prior literature generally presumes rational behavior. Thus, such models may miss out on capturing the effects of biases humans are…

人工智能 · 计算机科学 2019-03-11 Nanda Kishore Sreenivas , Shrisha Rao

The probability of a given candidate winning a future election is worked out in closed form as a function of (i) the current support rates for each candidate, (ii) the relative positioning of the candidates within the political spectrum,…

概率论 · 数学 2025-04-25 Dorje C. Brody , Tomooki Yuasa

In a single winner election with several candidates and ranked choice or rating scale ballots, a Condorcet winner is one who wins all their two way races by majority rule or MR. A voting system has Condorcet consistency or CC if it names…

统计方法学 · 统计学 2017-06-07 Richard B. Darlington

A method for studying exact properties of a class of {\it inhomogeneous} stochastic many-body systems is developed and presented in the framework of a voter model perturbed by the presence of a ``zealot'', an individual allowed to favour an…

统计力学 · 物理学 2007-05-23 Mauro Mobilia

Which level of voting costs is optimal in a democracy? This paper argues that intermediate voting costs - what we term a "Midcost democracy" - should be avoided, as they fail to ensure that electoral outcomes reflect the preferences of the…

理论经济学 · 经济学 2025-07-11 Hans Gersbach , Arthur Schichl , Oriol Tejada

We study a simple continuous-time multi-agent system related to Krause's model of opinion dynamics: each agent holds a real value, and this value is continuously attracted by every other value differing from it by less than 1, with an…

最优化与控制 · 数学 2009-07-28 Vincent D. Blondel , Julien M. Hendrickx , John N. Tsitsiklis

We study a version of the minority game in which one agent is allowed to join the game in a random fashion. It is shown that in the crowded regime, i.e., for small values of the memory size $m$ of the agents in the population, the agent…

统计力学 · 物理学 2009-11-10 K. F. Yip , T. S. Lo , P. M. Hui , N. F. Johnson

In recent years, opinion dynamics has received an increasing attention, and various models have been introduced and evaluated mainly by simulation. In this study, we introduce and study a dynamical model inspired by the so-called `bounded…

动力系统 · 数学 2018-11-07 Sergei Yu. Pilyugin , M. C. Campi

We introduce two models of consensus following a majority rule on time-evolving stochastic block models (SBM), in which the network evolution is Markovian or non-Markovian. Under the majority rule, in each round, each agent simultaneously…

概率论 · 数学 2022-09-12 Haoyu Wang , Jiaheng Wei , Zhenyuan Zhang

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

In an election in which each voter ranks all of the candidates, we consider the head-to-head results between each pair of candidates and form a labeled directed graph, called the margin graph, which contains the margin of victory of each…

理论经济学 · 经济学 2020-09-08 Matthew Harrison-Trainor

Classical results in voting theory show that strategic manipulation by voters is inevitable if a voting rule simultaneously satisfy certain desirable properties. Motivated by this, we study the relevant question of how often a voting rule…

计算机科学与博弈论 · 计算机科学 2015-02-17 Palash Dey , Y. Narahari

Belief perseverance is the widely documented tendency of holding to a belief, even in the presence of contradicting evidence. In online environments, this tendency leads to heated arguments with users ``blocking'' each other. Introducing…

物理与社会 · 物理学 2025-01-20 André Martin Timpanaro

The adaptive voter model is a paradigmatic model in the study of opinion formation. Here we propose an extension for this model, in which conflicts are resolved by obtaining another opinion, and analytically study the time required for…

物理与社会 · 物理学 2013-10-02 Tim Rogers , Thilo Gross