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This paper is concerned with general spatially explicit versions of three stochastic models for the dynamics of money that have been introduced and studied numerically by statistical physicists: the uniform reshuffling model, the immediate…

Probability · Mathematics 2018-04-18 Nicolas Lanchier , Stephanie Reed

Chimera states, a symmetry-breaking spatiotemporal pattern in nonlocally coupled dynamical units, prevail in a variety of systems. However, the interaction structures among oscillators are static in most of studies on chimera state. In this…

Adaptation and Self-Organizing Systems · Physics 2019-05-23 Wenhao Wang , Qionglin Dai , Hongyan Cheng , Haihong Li , Junzhong Yang

In some systems, the behavior of the constituent units can create a `context' that modifies the direct interactions among them. This mechanism of indirect modification inspired us to develop a minimal model of context-dependent spreading.…

Physics and Society · Physics 2023-06-13 Giulio Burgio , Sergio Gómez , Alex Arenas

When studying out-of-equilibrium systems, one often excites the dynamics in some degrees of freedom while removing the excitation in others through damping. In order for the system to converge to a statistical steady state, the dynamics…

Probability · Mathematics 2025-03-26 David P. Herzog , Jonathan C. Mattingly

The emergence of eusocial species is both very rare in evolutionary history and results in remarkably successful species. By inverting an agent based model, agent rules are discovered that display behaviors characteristic of eusocial…

Physics and Society · Physics 2022-09-09 John C. Stevenson

A new model ecosystem consisting of many interacting species is introduced. The species are connected through a random matrix with a given connectivity. It is shown that the system is organized close to a boundary of marginal stability in…

adap-org · Physics 2007-05-23 Ricard V. Sole , David Alonso , Alan McKane

Flocking behavior of multiple agents can be widely observed in nature such as schooling fish and flocking birds. Recent literature has proposed the possibility that flocking is possible even only a small fraction of agents are informed of…

Chaotic Dynamics · Physics 2009-05-08 Jin Zhou , Wenwu Yu , Xiaoqun Wu , Michael Small , Jun-an Lu

We introduce stochastic driving in the Sznajd model of opinion spreading. This stochastic effect is meant to mimic a social temperature, so that agents can take random decisions with a varying probability. We show that a stochastic driving…

Physics and Society · Physics 2009-11-11 Marta S. de la Lama , Juan M. Lopez , Horacio S. Wio

We study the effects of animal social networks with a weighted pattern of interactions on the flocking transition exhibited by models of self-organized collective motion. Considering a model representing dynamics on a one-dimensional…

Physics and Society · Physics 2022-10-19 Jaume Ojer , Romualdo Pastor-Satorras

Recently, strategic games inspired by Schelling's influential model of residential segregation have been studied in the TCS and AI literature. In these games, agents of k different types occupy the nodes of a network topology aiming to…

Computer Science and Game Theory · Computer Science 2024-03-15 Lata Narayanan , Yasaman Sabbagh , Alexandros A. Voudouris

We consider a simple decision model in which a set of agents randomly choose one of two competing shops selling the same perishable products (typically food). The satisfaction of agents with respect to a given store is related to the…

Physics and Society · Physics 2011-06-21 Gaultier Lambert , Guillaume Chevereau , Eric Bertin

Analyses of urban scaling laws assume that observations in different cities are independent of the existence of nearby cities. Here we introduce generative models and data-analysis methods that overcome this limitation by modelling…

Physics and Society · Physics 2021-01-21 Eduardo G. Altmann

Echo chambers and polarisation dynamics are as of late a very prominent topic in scientific communities around the world. As these phenomena directly affect our lives and seemingly more and more as our societies and communication channels…

Physics and Society · Physics 2022-03-01 Łukasz G. Gajewski , Julian Sienkiewicz , Janusz A. Hołyst

Immersive rooms are increasingly popular augmented reality systems that support multi-agent interactions within a virtual world. However, despite extensive content creation and technological developments, insights about perceptually-driven…

Human-Computer Interaction · Computer Science 2025-12-22 Jerry M. Huang , Stefan T. Radev

Systems with long-range interactions often exhibit power-law distributions and can by described by the non-extensive statistical mechanics framework proposed by Tsallis. In this contribution we consider a simple model reproducing continuous…

Physics and Society · Physics 2015-06-19 Aleksejus Kononovicius , Julius Ruseckas

The structure of social relations is fundamental for the construction of plausible simulation scenarios. It shapes the way actors interact and create their identity within overlapping social contexts. Each actor interacts in multiple…

Multiagent Systems · Computer Science 2015-09-14 Davide Nunes , Luis Antunes

This paper introduces a novel spatial interaction model to explore the decision-making processes of a resource allocator and local agents, with central and local governments serving as empirical representations. The model captures two key…

Econometrics · Economics 2025-07-02 Hanbat Jeong

We investigate the behavioral patterns of a population of agents, each controlled by a simple biologically motivated neural network model, when they are set in competition against each other in the Minority Model of Challet and Zhang. We…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Joseph Wakeling , Per Bak

Living organisms process information to interact and adapt to their changing environment with the goal of finding food, mates or averting hazards. The structure of their niche has profound repercussions by both selecting their internal…

Physics and Society · Physics 2017-06-07 Hannes Hornischer , Stephan Herminghaus , Marco G. Mazza

We consider a toy model of interacting extrovert and introvert agents introduced earlier by Liu et al [Europhys. Lett. {\bf 100} (2012) 66007]. The number of extroverts, and introverts is $N$ each. At each time step, we select an agent at…

Physics and Society · Physics 2016-06-03 Deepak Dhar , Kevin E. Bassler , R. K. P. Zia