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To make decisions we are guided by the evidence we collect, as well as the opinions of friends and neighbors. How do we integrate our private beliefs with information we obtain from our social network? To understand the strategies humans…

Physics and Society · Physics 2020-03-04 Bhargav Karamched , Simon Stolarczyk , Zachary Kilpatrick , Krešimir Josić

The analysis of network data has gained considerable interest in recent years. This also includes the analysis of large, high-dimensional networks with hundreds and thousands of nodes. While exponential random graph models serve as…

Methodology · Statistics 2023-09-13 Nadja Klein , Göran Kauermann

The structure and dynamic of social network are largely determined by the heterogeneous interaction activity and social capital allocation of individuals. These features interplay in a non-trivial way in the formation of network and…

We present a differentiable formalism for learning free energies that is capable of capturing arbitrarily complex model dependencies on coarse-grained coordinates and finite-temperature response to variation of general system parameters.…

Computational Physics · Physics 2024-05-31 Blake R. Duschatko , Xiang Fu , Cameron Owen , Yu Xie , Albert Musaelian , Tommi Jaakkola , Boris Kozinsky

The dynamical behavior of social systems can be described by agent-based models. Although single agents follow easily explainable rules, complex time-evolving patterns emerge due to their interaction. The simulation and analysis of such…

Dynamical Systems · Mathematics 2022-01-31 Jan-Hendrik Niemann , Stefan Klus , Christof Schütte

We study by analytical methods and large scale simulations a dynamical model for the spreading of epidemics in complex networks. In networks with exponentially bounded connectivity we recover the usual epidemic behavior with a threshold…

Statistical Mechanics · Physics 2009-11-07 Romualdo Pastor-Satorras , Alessandro Vespignani

A multi-agent model for individuals endowed with strategies and subject to diffusive effects is proposed. The microscopic state of each agent is described by a spatial position and a probability measure, interpreted as a mixed strategy,…

Analysis of PDEs · Mathematics 2026-03-24 Alessandro Baldi , Marco Morandotti

Many real-world networks display a natural bipartite structure. Investigating it based on the original structure is helpful to get deep understanding about the networks. In this paper, some real-world bipartite networks are collected and…

Physics and Society · Physics 2008-04-25 Peng Zhang , Menghui Li , J. F. F. Mendes , Zengru Di , Ying Fan

Multi-Agent Reinforcement Learning involves agents that learn together in a shared environment, leading to emergent dynamics sensitive to initial conditions and parameter variations. A Dynamical Systems approach, which studies the evolution…

Multiagent Systems · Computer Science 2025-01-03 David Goll , Jobst Heitzig , Wolfram Barfuss

Understanding how complex systems respond to perturbations, such as whether they will remain stable or what their most sensitive patterns are, is a fundamental challenge across science and engineering. Traditional stability and receptivity…

Fluid Dynamics · Physics 2026-04-28 Chengyun Wang , Liwei Chen , Nils Thuerey

We propose a simple model for a binary decision making process on a graph, motivated by modeling social decision making with cooperative individuals. The model is similar to a random field Ising model or fiber bundle model, but with key…

Physics and Society · Physics 2017-01-20 Andrew Lucas , Ching Hua Lee

Agent-based modeling (ABM) is a powerful tool for understanding self-organizing biological systems, but it is computationally intensive and often not analytically tractable. Equation learning (EQL) methods can derive continuum models from…

Systems of dynamical interactions between competing species can be used to model many complex systems, and can be mathematically described by {\em random} networks. Understanding how patterns of activity arise in such systems is important…

Adaptation and Self-Organizing Systems · Physics 2016-01-21 Nick McCullen , Thomas Wagenknecht

Agent-based modeling is a paradigm of modeling dynamic systems of interacting agents that are individually governed by specified behavioral rules. Training a model of such agents to produce an emergent behavior by specification of the…

Machine Learning · Computer Science 2019-10-11 Karan K. Budhraja , Hang Gao , Tim Oates

We introduce a new framework for multiagent decision-making in queueing systems that leverages the agility and robustness of nonlinear opinion dynamics to break indecision during queue selection and to capture the influence of social…

Optimization and Control · Mathematics 2026-03-31 Mallory E. Gaspard , Naomi Ehrich Leonard

Collective, especially group-based, managerial decision making is crucial in organizations. Using an evolutionary theoretic approach to collective decision making, agent-based simulations were conducted to investigate how human collective…

Multiagent Systems · Computer Science 2019-02-20 Shelley D. Dionne , Hiroki Sayama , Francis J. Yammarino

Although real-world complex systems typically interact through sparse and heterogeneous networks, analytic solutions of their dynamics are limited to models with all-to-all interactions. Here, we solve the dynamics of a broad range of…

Disordered Systems and Neural Networks · Physics 2025-01-28 Fernando L. Metz

This paper introduces CMASE, a framework for Computational Multi-Agent Society Experiments that integrates generative agent-based modeling with virtual ethnographic methods to support researcher embedding, interactive participation, and…

Artificial Intelligence · Computer Science 2026-03-11 Hanzhong Zhang , Muhua Huang , Jindong Wang

Mathematical modeling is now used commonly in the analysis of signaling networks. With advances in high resolution microscopy, the spatial location of different signaling molecules and the spatio-temporal dynamics of signaling microdomains…

Subcellular Processes · Quantitative Biology 2016-07-26 Jasmine Nirody , Padmini Rangamani

Event-triggered communication and control provide high control performance in networked control systems without overloading the communication network. However, most approaches require precise mathematical models of the system dynamics,…

Systems and Control · Electrical Eng. & Systems 2023-05-16 Lukas Kesper , Sebastian Trimpe , Dominik Baumann