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We discuss voting scenarios in which the set of voters (agents) and the set of alternatives are the same; that is, voters select a single representative from among themselves. Such a scenario happens, for instance, when a committee selects…

计算机科学与博弈论 · 计算机科学 2019-07-23 Yakov Babichenko , Oren Dean , Moshe Tennenholtz

Large language models (LLMs) are susceptible to persuasion, which can pose risks when models are faced with an adversarial interlocutor. We take a first step towards defending models against persuasion while also arguing that defense…

计算与语言 · 计算机科学 2025-02-11 Elias Stengel-Eskin , Peter Hase , Mohit Bansal

We study the probability that a given candidate is an alpha-winner, i.e. a candidate preferred to each other candidate j by a fraction alpha_j of the voters. This extends the classical notion of Condorcet winner, which corresponds to the…

计算机科学与博弈论 · 计算机科学 2025-05-12 Emma Caizergues , François Durand , Marc Noy , Élie de Panafieu , Vlady Ravelomanana

We introduce an asymmetric noisy voter model to study the joint effect of immigration and a competition-dispersal tradeoff in the dynamics of two species competing for space in regular lattices. Individuals of one species can invade a…

种群与进化 · 定量生物学 2021-03-17 Ricardo Martinez-Garcia , Cristóbal López , Federico Vazquez

We investigate coarsening and persistence in the voter model by introducing the quantity $P_n(t)$, defined as the fraction of voters who changed their opinion n times up to time t. We show that $P_n(t)$ exhibits scaling behavior that…

凝聚态物理 · 物理学 2009-10-28 E. Ben-Naim , L. Frachebourg , P. L. Krapivsky

Cooperating first then mimicking the partner's act has been proven to be effective in utilizing reciprocity in social dilemmas. However, the extent to which this, called Tit-for-Tat strategy, should be regarded as equivalent to…

计算机科学与博弈论 · 计算机科学 2026-03-31 Chaoqian Wang , Jingyang Li , Xinwei Wang , Wenqiang Zhu , Attila Szolnoki

We study the asymptotic macroscopic properties of the mixed majority-minority game, modeling a population in which two types of heterogeneous adaptive agents, namely ``fundamentalists'' driven by differentiation and ``trend-followers''…

统计力学 · 物理学 2009-11-10 A. De Martino , I. Giardina , G. Mosetti

We investigate opinion dynamics in multi-agent networks when a bias toward one of two possible opinions exists; for example, reflecting a status quo vs a superior alternative. Starting with all agents sharing an initial opinion representing…

多智能体系统 · 计算机科学 2021-03-09 Aris Anagnostopoulos , Luca Becchetti , Emilio Cruciani , Francesco Pasquale , Sara Rizzo

The problem of consensus in the presence of adversarially behaving agents has been studied extensively in the literature. The proposed algorithms typically guarantee that the consensus value lies within the convex hull of initial normal…

系统与控制 · 电气工程与系统科学 2019-06-20 James Usevitch , Dimitra Panagou

We initiate the work towards a comprehensive picture of the smoothed satisfaction of voting axioms, to provide a finer and more realistic foundation for comparing voting rules. We adopt the smoothed social choice framework, where an…

理论经济学 · 经济学 2021-06-04 Lirong Xia

Previous studies have shown that Instant-Runoff Voting (IRV) is highly resistant to coalitional manipulation (CM), though the theoretical reasons for this remain unclear. To address this gap, we analyze the susceptibility to CM of three…

计算机科学与博弈论 · 计算机科学 2025-10-17 François Durand

The voter model on $\mathbb{Z}^d$ is a particle system that serves as a rough model for changes of opinions among social agents or, alternatively, competition between biological species occupying space. When $d \geq 3$, the set of…

概率论 · 数学 2016-02-19 Balazs Rath , Daniel Valesin

We show how the prevailing majority opinion in a population can be rapidly reversed by a small fraction p of randomly distributed committed agents who consistently proselytize the opposing opinion and are immune to influence. Specifically,…

物理与社会 · 物理学 2011-08-22 J. Xie , S. Sreenivasan , G. Korniss , W. Zhang , C. Lim , B. K. Szymanski

We consider two-opinion voter models on dense dynamic random graphs. Our goal is to understand and describe the occurrence of consensus versus polarisation over long periods of time. The former means that all vertices have the same opinion,…

We study opinion evolution in networks of stubborn agents discussing a sequence of issues, modeled through the so called concatenated Friedkin-Johnsen (FJ) model. It is concatenated in the sense that agents' opinions evolve for each issue,…

最优化与控制 · 数学 2024-05-24 David Ohlin , Fethi Bencherki , Emma Tegling

The standard three-state voter model is enlarged by including the outside pressure favouring one of the three choices and by adding some biased internal random noise. The Monte Carlo simulations are motivated by states with the population…

物理与社会 · 物理学 2009-11-13 T. Hadzibeganovic , D. Stauffer , C. Schulze

A new model for the dynamics of opinion formation is proposed and analysed at the mean-field level. It can be regarded as a generalization of the noisy voter model in which agents update their binary states by copying others and by an…

统计力学 · 物理学 2024-10-29 Miguel Aguilar-Janita , Andres Blanco-Alonso , Nagi Khalil

This paper studies a novel stochastic compartmental model that describes the dynamics of trust in society. The population is split into three compartments representing levels of trust in society: trusters, skeptics and doubters. The focus…

物理与社会 · 物理学 2024-09-20 Benedikt Valentin Meylahn , Koen De Turck , Michel Mandjes

We experimentally study voter turnout in two-tier elections when the electorate consists of multiple groups, such as states. Votes are aggregated within the groups by the winner-take-all rule or the proportional rule, and the group-level…

综合经济学 · 经济学 2024-08-19 Yoichi Hizen , Kazuya Kikuchi , Yukio Koriyama , Takehito Masuda

We consider 3-Majority, a probabilistic consensus dynamics on a complete graph with $n$ vertices, each vertex starting with one of $k$ initial opinions. At each discrete time step, a vertex $u$ is chosen uniformly at random. The selected…

分布式、并行与集群计算 · 计算机科学 2024-10-16 Colin Cooper , Frederik Mallmann-Trenn , Tomasz Radzik , Nobutaka Shimizu , Takeharu Shiraga