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We introduce time variation in the flip-rates of the Voter Model. This type of generalisation is relevant to models of ageing in language change, allowing the representation of changes in speakers' learning rates over their lifetime and may…

统计力学 · 物理学 2015-05-27 G. J. Baxter

The iterated learning model is an agent model which simulates the transmission of of language from generation to generation. It is used to study how the language adapts to pressures imposed by transmission. In each iteration, a language…

计算与语言 · 计算机科学 2024-11-28 Jack Bunyan , Seth Bullock , Conor Houghton

In this work, we consider a multi-population system where the dynamics of each agent evolve according to a system of stochastic differential equations in a general functional setup, determined by the global state of the system. Each agent…

概率论 · 数学 2025-07-24 Giuseppe D'Onofrio , Anderson Melchor Hernandez

An in-depth analytic study of a model of language dynamics is presented: a model which tackles the problem of the coexistence of two languages within a closed community of speakers taking into account bilingualism and incorporating a…

物理与社会 · 物理学 2014-02-19 Victoria Otero-Espinar , Luís F. Seoane , Juan J. Nieto , Jorge Mira

We investigate the collective behavior of a system of social agents subject to the competition between two mass media influences considered as external fields. We study under what conditions either of two mass media with different…

物理与社会 · 物理学 2024-05-09 O. Alvarez-Llamoza , M. G. Cosenza , J. C. Gonzalez-Avella , M. A. Suarez , K. Tucci , P. Valverde

We investigate a nonlinear version of coevolving voter models, in which node states and network structure update as a coupled stochastic dynamical process. Most prior work on coevolving voter models has focused on linear update rules with…

物理与社会 · 物理学 2020-07-01 Yacoub H. Kureh , Mason A. Porter

Collective adaptation, whether in innovation adoption, pro-environmental or organizational change, emerges from the interplay between individual decisions and social influence. Agent-based modeling provides a useful tool for studying such…

物理与社会 · 物理学 2025-10-29 Angelika Abramiuk-Szurlej , Katarzyna Sznajd-Weron

We propose a modified voter model with locally conserved magnetization and investigate its phase ordering dynamics in two dimensions in numerical simulations. Imposing a local constraint on the dynamics has the surprising effect of speeding…

统计力学 · 物理学 2015-06-11 Fabio Caccioli , Luca Dall'Asta , Tobias Galla , Tim Rogers

Societies are complex. Properties of social systems can be explained by the interplay and weaving of individual actions. Incentives are key to understand people's choices and decisions. For instance, individual preferences of where to live…

物理与社会 · 物理学 2019-09-20 Egemen Sert , Yaneer Bar-Yam , Alfredo J. Morales

As an integral part of our culture and way of life, language is intricately related to migrations of people. To understand whether and how migration shapes language formation processes we examine the dynamics of the naming game with…

统计力学 · 物理学 2021-03-02 Dorota Lipowska , Adam Lipowski

This study investigates adversarial attacks conducted to distort voter model dynamics in complex networks. Specifically, a simple adversarial attack method is proposed to hold the state of opinions of an individual closer to the target…

物理与社会 · 物理学 2022-07-07 Katsumi Chiyomaru , Kazuhiro Takemoto

The constrained voter model describes the dynamics of opinions in a population of individuals located on a connected graph. Each agent is characterized by her opinion, where the set of opinions is represented by a finite sequence of…

概率论 · 数学 2013-10-02 Nicolas Lanchier , Stylianos Scarlatos

In distortion-based analysis of social choice rules over metric spaces, one assumes that all voters and candidates are jointly embedded in a common metric space. Voters rank candidates by non-decreasing distance. The mechanism, receiving…

计算机科学与博弈论 · 计算机科学 2019-11-21 David Kempe

The role of memory is crucial in determining the properties of many dynamical processes in statistical physics. We show that the simple addition of memory, in the form of noise reduction, modifies the overall scaling behavior of the voter…

统计力学 · 物理学 2007-05-23 Luca Dall'Asta , Claudio Castellano

The voter model with the node update rule is numerically investigated on a directed network. We start from a directed hierarchical tree, and split and rewire each incoming arc at the probability $p$. In order to discriminate the better and…

统计力学 · 物理学 2015-05-19 Sung-Guk Han , Jaegon Um , Beom Jun Kim

Large language model (LLM) agents often exhibit abrupt shifts in tone and persona during extended interaction, reflecting the absence of explicit temporal structure governing agent-level state. While prior work emphasizes turn-local…

人工智能 · 计算机科学 2026-01-23 Sukesh Subaharan

We explore the coupled dynamics of the internal states of a set of interacting elements and the network of interactions among them. Interactions are modeled by a spatial game and the network of interaction links evolves adapting to the…

其他凝聚态物理 · 物理学 2007-09-23 Martin G. Zimmermann , Victor M. Eguiluz , Maxi San Miguel

We study the dynamics of a class of two dimensional stochastic processes, depending on two parameters, which may be interpreted as two different temperatures, respectively associated to interfacial and to bulk noise. Special lines in the…

统计力学 · 物理学 2009-10-31 J-M Drouffe , C Godreche

We propose a computational framework for modeling opinion dynamics in electoral competitions that combines two realistic features: voter memory and exogenous shocks. The population is represented by a fully-connected network of agents, each…

物理与社会 · 物理学 2026-02-05 Jaime L. C. da C. Filho , Nuno Crokidakis

Most of the conventional models for opinion dynamics mainly account for a fully local influence, where myopic agents decide their actions after they interact with other agents that are adjacent to them. For example, in the case of social…

物理与社会 · 物理学 2013-05-10 Babak Fotouhi , Michael G. Rabbat