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We study systems of interacting reinforced stochastic processes, where agents' decisions evolve under reinforcement, network-mediated interactions, and environmental influences. In competitive environments with irreducible networks, we…

Probability · Mathematics 2025-09-18 Michele Aleandri , Paolo Dai Pra , Ida Germana Minelli

This paper investigates causal influences between agents linked by a social graph and interacting over time. In particular, the work examines the dynamics of social learning models and distributed decision-making protocols, and derives…

Social and Information Networks · Computer Science 2026-05-19 Mert Kayaalp , Ali H. Sayed

Modelling and computational methods have been essential in advancing quantitative science, especially in the past two decades with the availability of vast amount of complex, voluminous, and heterogeneous data. In particular, there has been…

Multiagent Systems · Computer Science 2020-07-09 Affan Shoukat , Seyed M. Moghadas

The aim of this paper is to derive macroscopic equations for processes on large co-evolving networks, examples being opinion polarization with the emergence of filter bubbles or other social processes such as norm development. This leads to…

Analysis of PDEs · Mathematics 2021-04-29 Martin Burger

Stochastic models in which agents interact with their neighborhood according to a network topology are a powerful modeling framework to study the emergence of complex dynamic patterns in real-world systems. Stochastic simulations are often…

Social and Information Networks · Computer Science 2021-01-27 Gerrit Großmann , Luca Bortolussi , Verena Wolf

Using the minority game as a model for competition dynamics, we investigate the effects of inter-agent communications on the global evolution of the dynamics of a society characterized by competition for limited resources. The agents…

Statistical Mechanics · Physics 2009-11-10 M. Anghel , Zoltan Toroczkai , Kevin E. Bassler , G. Korniss

Graphs emerge in almost every real-world application domain, ranging from online social networks all the way to health data and movie viewership patterns. Typically, such real-world graphs are big and dynamic, in the sense that they evolve…

Social and Information Networks · Computer Science 2022-10-11 Ekta Gujral

The ability to understand and eventually predict the emergence of information and activation cascades in social networks is core to complex socio-technical systems research. However, the complexity of social interactions makes this a…

Physics and Society · Physics 2015-06-16 Pablo Piedrahíta , Javier Borge-Holthoefer , Yamir Moreno , Alex Arenas

Multilayer networks have become increasingly ubiquitous across diverse scientific fields, ranging from social sciences and biology to economics and international relations. Despite their broad applications, the inferential theory for…

Methodology · Statistics 2026-02-24 Zhaozhe Liu , Gongjun Xu , Haoran Zhang

Reaction networks are widely used models to describe biochemical processes. Stochastic fluctuations in the counts of biological macromolecules have amplified consequences due to their small population sizes. This makes it necessary to favor…

Probability · Mathematics 2022-02-28 Daniele Cappelletti , Badal Joshi

Many real-world scale-free networks, such as neural networks and online communication networks, consist of a fixed number of nodes but exhibit dynamic edge fluctuations. However, traditional models frequently overlook scenarios where the…

Social and Information Networks · Computer Science 2026-04-02 Yichao Yao , Minyu Feng , Matjaž Perc , Jürgen Kurths

A Multi-Agent System is a distributed system where the agents or nodes perform complex functions that cannot be written down in analytic form. Multi-Agent Systems are highly connected, and the information they contain is mostly stored in…

Multiagent Systems · Computer Science 2011-12-01 Philippe De Wilde , Gerard Briscoe

Flexible, goal-directed behavior is a fundamental aspect of human life. Based on the free energy minimization principle, the theory of active inference formalizes the generation of such behavior from a computational neuroscience…

Artificial Intelligence · Computer Science 2022-08-03 Fedor Scholz , Christian Gumbsch , Sebastian Otte , Martin V. Butz

We present a novel software suite for social network modeling and opinion diffusion processes. Much research on social network science has assumed networks with static topologies. More recently, attention has been turned to networks that…

Social and Information Networks · Computer Science 2020-06-25 Patrick Shepherd , Mia Weaver , Judy Goldsmith

The premise of this working paper is based around agent-based simulation models and how to go about creating them from given incomplete information. Agent-based simulations are stochastic simulations that revolve around groups of agents…

Multiagent Systems · Computer Science 2019-02-06 Daniel Stroud , Christian Wagner , Peer-Olaf Siebers

The structure of large-scale social networks has predominantly been articulated using generative models, a form of average-case analysis. This chapter surveys recent proposals of more robust models of such networks. These models posit…

Data Structures and Algorithms · Computer Science 2020-08-03 Tim Roughgarden , C. Seshadhri

In this work, the concept of a system for analysing social relations between entities using the social network analysis and multi-agent system approaches is presented. The following problems especially appear within the domain of our…

Social and Information Networks · Computer Science 2013-03-26 Jarosław Koźlak , Anna Zygmunt , Edward Nawarecki

Diffusion processes are instrumental to describe the movement of a continuous quantity in a generic network of interacting agents. Here, we present a probabilistic framework for diffusion in networks and propose to classify agent…

Social and Information Networks · Computer Science 2015-08-28 Wai Hong Ronald Chan , Matthias Wildemeersch , Tony Q. S. Quek

Designing protocols enhancing cooperation for multi-agent systems remains a grand challenge. Cheap talk, defined as costless, non-binding communication before formal action, serves as a pivotal solution. However, existing theoretical…

Multiagent Systems · Computer Science 2026-03-03 Zhao Song , Chen Shen , Zhen Wang , The Anh Han

Dependency networks (Heckerman et al., 2000) provide a flexible framework for modeling complex systems with many variables by combining independently learned local conditional distributions through pseudo-Gibbs sampling. Despite their…

Machine Learning · Computer Science 2026-04-02 Kazuya Takabatake , Shotaro Akaho