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We are interested in modeling some two-level population dynamics, resulting from the interplay of ecological interactions and phenotypic variation of individuals (or hosts) and the evolution of cells (or parasites) of two types living in…

Probability · Mathematics 2011-01-21 Sylvie Méléard , Sylvie Roelly

We study a dynamic matching setting where homogeneous agents arrive at random according to a Poisson process and randomly form edges yielding a sparse market. Agents stay in the market according to a certain sojourn time and wait to be…

Data Structures and Algorithms · Computer Science 2025-11-27 Johannes Bäumler , Martin Bullinger , Stefan Kober , Donghao Zhu

Cooperative systems are systems in which the forces among agents are non-repulsive. The free evolution of such systems can tend to the formation of patterns, such as consensus or clustering, depending on the properties and intensity of the…

Optimization and Control · Mathematics 2019-02-26 Benoît Bonnet , Francesco Rossi

This paper proposes an adaptation mechanism for heterogeneous multi-agent systems to align the agents' internal parameters, based on enforced consensus through strong couplings. Unlike homogeneous systems, where exact consensus is…

Systems and Control · Electrical Eng. & Systems 2025-09-08 Hyungbo Shim , Jin Gyu Lee , B. D. O. Anderson

People organize in groups and contagions spread across them. A simple stochastic process, yet complex to model due to dynamical correlations within and between groups. Moreover, groups can evolve if agents join or leave in response to…

Physics and Society · Physics 2025-05-22 Giulio Burgio , Guillaume St-Onge , Laurent Hébert-Dufresne

Face-to-face interactions reveal recurring patterns, suggesting the possibility of shared underlying mechanisms. More specifically, inter-contact durations, contact durations and number of contacts per edge share similar heavy-tail…

Physics and Society · Physics 2026-04-02 Juliette Gambaudo , Mathieu Génois

All interesting and fascinating collective properties of a complex system arise from the intricate way in which its components interact. Various systems in physics, biology, social sciences and engineering have been successfully modelled as…

Adaptation and Self-Organizing Systems · Physics 2021-04-23 L. V. Gambuzza , F. Di Patti , L. Gallo , S. Lepri , M. Romance , R. Criado , M. Frasca , V. Latora , S. Boccaletti

We model messaging activities as a hierarchical doubly stochastic point process with three main levels, and develop an iterative algorithm for inferring actors' relative latent positions from a stream of messaging activity data. Each of the…

Machine Learning · Statistics 2013-04-26 Nam H. Lee , Jordan Yoder , Minh Tang , Carey E Priebe

We introduce a simple benchmark model of dynamic matching in networked markets, where agents arrive and depart stochastically and the network of acceptable transactions among agents forms a random graph. We analyze our model from three…

Computer Science and Game Theory · Computer Science 2014-02-18 Mohammad Akbarpour , Shengwu Li , Shayan Oveis Gharan

The behavior of interacting populations typically displays irregular temporal and spatial patterns that are difficult to reconcile with an underlying deterministic dynamics. A classical example is the heterogeneous distribution of plankton…

Populations and Evolution · Quantitative Biology 2009-11-13 M. H. Vainstein , J. M. Rubi , J. M. G. Vilar

Financial markets are a classical example of complex systems as they comprise many interacting stocks. As such, we can obtain a surprisingly good description of their structure by making the rough simplification of binary daily returns.…

Statistical Finance · Quantitative Finance 2014-01-28 Thomas Bury

The main approach to evaluating communication is by assessing how well it facilitates coordination. If two or more individuals can coordinate through communication, it is generally assumed that they understand one another. We investigate…

Artificial Intelligence · Computer Science 2025-09-30 Nikolaos Kondylidis , Anil Yaman , Frank van Harmelen , Erman Acar , Annette ten Teije

In crowded environments, individuals must navigate around other occupants to reach their destinations. Understanding and controlling traffic flows in these spaces is relevant for coordinating robot swarms and designing infrastructure for…

Robotics · Computer Science 2026-02-25 Lucy Liu , Justin Werfel , Federico Toschi , L. Mahadevan

Swarming systems, such as drone fleets and robotic teams, exhibit complex dynamics driven by both individual behaviors and emergent group-level interactions. Unlike traditional multi-agent domains such as pedestrian crowds or traffic…

Multiagent Systems · Computer Science 2026-03-03 Minah Lee , Saibal Mukhopadhyay

We study dynamic matching in an infinite-horizon stochastic market. While all agents are potentially compatible with each other, some are hard-to-match and others are easy-to-match. Agents prefer to be matched as soon as possible and…

Data Structures and Algorithms · Computer Science 2017-11-09 Itai Ashlagi , Maximillien Burq , Patrick Jaillet , Vahideh Manshadi

This study addresses primal-dual dynamics for a stochastic programming problem for capacity network design. It is proven that consensus can be achieved on the \textit{here and now} variables which represent the capacity of the network. The…

Optimization and Control · Mathematics 2020-09-11 Casper T. Röling , Dario Bauso , Hamidou Tembine

This paper presents distributed algorithmic solutions that employ opportunistic inter-agent communication to achieve dynamic average consensus. In our solutions each agent is endowed with a local criterion that enables it to determine…

Optimization and Control · Mathematics 2015-03-03 Solmaz S. Kia , Jorge Cortes , Sonia Martinez

The cohesive collective motion (flocking, swarming) of autonomous agents is ubiquitously observed and exploited in both natural and man-made settings, thus, minimal models for its description are essential. In a model with continuous space…

Statistical Mechanics · Physics 2015-01-12 Illes J. Farkas , Jeromos Kun , Yi Jin , Gaoqi He , Mingliang Xu

This paper studies linear stochastic approximation (SA) algorithms and their application to multi-agent systems in engineering and sociology. As main contribution, we provide necessary and sufficient conditions for convergence of linear SA…

Optimization and Control · Mathematics 2018-09-07 Ge Chen , Xiaoming Duan , Wenjun Mei , Francesco Bullo

Social robot navigation can be helpful in various contexts of daily life but requires safe human-robot interactions and efficient trajectory planning. While modeling pairwise relations has been widely studied in multi-agent interacting…

Robotics · Computer Science 2024-11-13 Jiachen Li , Chuanbo Hua , Jianpeng Yao , Hengbo Ma , Jinkyoo Park , Victoria Dax , Mykel J. Kochenderfer
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