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We study consumption behaviour in systems with heterogeneous interacting agents. Two different models are introduced, respectively with long and short range interactions among agents. At any time step an agent decides whether or not to…

Statistical Mechanics · Physics 2008-12-02 Giulia Iori , Vassilis Koulovassilopoulos

Active systems across scales, ranging from molecular machines to human crowds, are usually modeled as assemblies of self-propelled particles driven by internally generated forces. However, these models often assume memoryless dynamics and…

Statistical Mechanics · Physics 2025-12-10 Marc Besse , Raphaël Voituriez

Excitable waves arise in many spatially-extended systems of either biological, chemical, or physical nature due to the interplay between local reaction and diffusion processes. Here we demonstrate that similar phenomena are encoded in the…

Pattern Formation and Solitons · Physics 2019-05-08 Francesco Marino , Giovanni Giacomelli

We examine a weighted-network multi-agent model with preferential selection such that agents choose partners with the probability $p(w)$, where $w$ is the number of their past selections. When $p(w)$ increases sublinearly with the number of…

Physics and Society · Physics 2015-06-19 Adam Lipowski , Dorota Lipowska , Antonio Luis Ferreira

In a social group its members are caled here agents. Any two agents from the group may interact. The interaction consists of the exchange of information and it costs some energy. There exist subgroups of interacting agents which are…

Statistical Mechanics · Physics 2021-08-19 Ondrej Hudak , Jana Tothova

We study the dynamics of interacting agents from two distinct inter-mixed populations: One population includes active agents that follow a predetermined velocity field, while the second population contains exclusively passive agents, i.e.…

Numerical Analysis · Mathematics 2018-06-07 Matteo Colangeli , Adrian Muntean , Omar Richardson , Thoa Thieu

Active matter taps into external energy sources to power its own processes. Systems of passive particles ordinarily lack this capacity, but can become active if the constituent particles interact with each other nonreciprocally. By…

Soft Condensed Matter · Physics 2024-11-22 Ella M. King , Mia C. Morrell , Jacqueline B. Sustiel , Matthew Gronert , Hayden Pastor , David G. Grier

Populations of agents often exhibit surprising collective behavior emerging from simple local interactions. The common belief is that the agents must posses a certain level of cognitive abilities for such an emerging collective behavior to…

Statistical Mechanics · Physics 2025-04-15 M. Andrecut

We propose and design recommendation systems that incentivize efficient exploration. Agents arrive sequentially, choose actions and receive rewards, drawn from fixed but unknown action-specific distributions. The recommendation system…

Computer Science and Game Theory · Computer Science 2026-04-02 Nicole Immorlica , Jieming Mao , Aleksandrs Slivkins , Zhiwei Steven Wu

In this work we study spin-glass (SG) like behavior in the dynamics of multiple agents in a social or economic context using interactions which are similar to the physical case. The different preferences shown by individual agents are…

Physics and Society · Physics 2007-05-23 Fariel Shafee

Traditional evolutionary game theory describes how certain strategy spreads throughout the system where individual player imitates the most successful strategy among its neighborhood. Accordingly, player doesn't have own authority to change…

Multiagent Systems · Computer Science 2016-04-14 Sundong Kim , Jin-Jae Lee

How does temporally structured private and social information shape collective decisions? To address this question we consider a network of rational agents who independently accumulate private evidence that triggers a decision upon reaching…

In social systems, people communicate with each other and form groups based on their interests. The pattern of interactions, the network, and the ideas that flow on the network naturally evolve together. Researchers use simple models to…

Physics and Society · Physics 2015-03-18 Atieh Mirshahvalad , Martin Rosvall

We propose a set of conservative models in which agents exchange wealth with a preference in the choice of interacting agents in different ways. The common feature in all the models is that the temporary values of financial status of agents…

Physics and Society · Physics 2015-06-22 Sanchari Goswami , Parongama Sen

The formation of agents' opinions in a social system is the result of an intricate equilibrium among several driving forces. On the one hand, the social pressure exerted by peers favours the emergence of local consensus. On the other hand,…

Physics and Society · Physics 2017-04-18 Federico Battiston , Andrea Cairoli , Vincenzo Nicosia , Adrian Baule , Vito Latora

A network of agents is considered whose decision processes are described by the quantum decision theory previously advanced by the authors. Decision making is done by evaluating the utility of alternatives, their attractiveness, and the…

Physics and Society · Physics 2022-05-04 V. I. Yukalov , E. P. Yukalova , D. Sornette

In a co-evolutionary context, the survive probability of individual elements of a system depends on their relation with their neighbors. The natural selection process depends on the whole population, which is determined by local events…

Biological Physics · Physics 2009-11-13 Juan G. Diaz Ochoa

This paper proposes a simple model to capture the complexity of multi-layer systems where their constituent layers affect, are affected by, each other. The physical layer is a circuit composed by a power source and resistors in parallel.…

Multiagent Systems · Computer Science 2016-02-09 Florian Kühnlenz , Pedro H. J. Nardelli

Phenomena which involves collective choice of many agents who are interacting with each other and choosing one of several alternatives, based on the limited information available to them, frequently show switching between two distinct…

Physics and Society · Physics 2007-05-23 Sitabhra Sinha , S. Raghavendra

Agent-based models provide a constructive approach to studying emergent dynamics in life-like systems composed of interacting, adaptive agents. Financial markets serve as a canonical example of such systems, where collective price dynamics…

Computational Finance · Quantitative Finance 2026-04-28 Ryuji Hashimoto , Ryosuke Takata , Masahiro Suzuki , Yuki Tanaka , Kiyoshi Izumi
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