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This paper shows that every leader election protocol requires logarithmic stabilization time both in expectation and with high probability in the population protocol model. This lower bound holds even if each agent has knowledge of the…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-11-05 Yuichi Sudo , Toshimitsu Masuzawa

We consider a hierarchically structured population in which the amount of resources an individual has access to is affected by individuals that are larger, and that the intake of resources by an individual only affects directly the growth…

Analysis of PDEs · Mathematics 2024-07-15 Carles Barril , Àngel Calsina , József Z. Farkas

Human mobility research concerns spatiotemporal individual and population movement. Accurate modeling and prediction of human mobility can provide opportunities to monitor, manage and optimize human movement for improved social-economic…

Social and Information Networks · Computer Science 2022-02-15 Liantao Li , Yang Yang

This paper explores a novel extension of dynamic matching theory by analyzing a three-way matching problem involving agents from three distinct populations, each with two possible types. Unlike traditional static or two-way dynamic models,…

Theoretical Economics · Economics 2025-07-09 Souvik Roy , Agamani Saha

Heterogeneities in environmental conditions often induce corresponding heterogeneities in the distribution of species. In the extreme case of a localized patch of increased growth rates, reproducing populations can become strongly…

Populations and Evolution · Quantitative Biology 2013-01-17 Lukas Geyrhofer , Oskar Hallatschek

This paper presents a position-based flocking model for interacting agents, balancing cohesion-separation and alignment to achieve stable collective motion. The model modifies a position-velocity-based approach by approximating velocity…

Multiagent Systems · Computer Science 2025-08-08 Hossein B. Jond

Motivated by a general principle governing regulation mechanisms in biological cells, we investigate a general interaction scheme between different populations of particles and specific particles, referred to as agents. Assuming that each…

Probability · Mathematics 2023-10-10 Vincent Fromion , Philippe Robert , Jana Zaherddine

We study a multi-agent decision problem in population games, where agents select from multiple available strategies and continually revise their selections based on the payoffs associated with these strategies. Unlike conventional…

Multiagent Systems · Computer Science 2024-09-17 Shinkyu Park

Consider a species whose population density solves the steady diffusive logistic equation in a heterogeneous environment modeled with the help of a spatially non constant coefficient standing for a resources distribution in a given box. We…

Analysis of PDEs · Mathematics 2018-07-25 Idriss Mazari , Grégoire Nadin , Yannick Privat

Average consensus protocols emerge with a central role in distributed systems and decision-making such as distributed information fusion, distributed optimization, distributed estimation, and control. A key advantage of these protocols is…

Optimization and Control · Mathematics 2021-12-21 Guilherme Ramos , A. Pedro Aguiar , Soummya Kar , Sérgio Pequito

Considering some predictive mechanisms, we show that ultrafast average-consensus can be achieved in networks of interconnected agents. More specifically, by predicting the dynamics of the network several steps ahead and using this…

Data Analysis, Statistics and Probability · Physics 2007-12-06 Hai-Tao Zhang , Guy-Bart Stan , Michael ZhiQiang Chen , Jan M. Maciejowski , Tao Zhou

Population protocols have been introduced by Angluin et al. as a model of networks consisting of very limited mobile agents that interact in pairs but with no control over their own movement. A collection of anonymous agents, modeled by…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-09-22 Olivier Bournez , Jérémie Chalopin , Johanne Cohen , Xavier Koegler , Mikael Rabie

Given a connected region in two-dimensional space where events of a certain kind occur according to a certain time-varying density, we consider the problem of setting up a network of autonomous mobile agents to detect the occurrence of…

Multiagent Systems · Computer Science 2016-07-05 Rodrigo R. Esch , Fábio Protti , Valmir C. Barbosa

In this work, we study the fundamental naming and counting problems (and some variations) in networks that are anonymous, unknown, and possibly dynamic. In counting, nodes must determine the size of the network n and in naming they must end…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-08-02 Othon Michail , Ioannis Chatzigiannakis , Paul G. Spirakis

We discuss the population dynamics with selection and random diffusion, keeping the total population constant, in a fitness landscape associated with Constraint Satisfaction, a paradigm for difficult optimization problems. We obtain a phase…

Populations and Evolution · Quantitative Biology 2016-11-23 Tommaso Brotto , Guy Bunin , Jorge Kurchan

We consider time-continuous Markovian discrete-state dynamics on random networks of interacting agents and study the large population limit. The dynamics are projected onto low-dimensional collective variables given by the shares of each…

Probability · Mathematics 2026-03-19 Marvin Lücke , Jobst Heitzig , Péter Koltai , Nora Molkenthin , Stefanie Winkelmann

This paper proposes an algorithm for motion planning among dynamic agents using adaptive conformal prediction. We consider a deterministic control system and use trajectory predictors to predict the dynamic agents' future motion, which is…

We introduce a new setting where a population of agents, each modelled by a finite-state system, are controlled uniformly: the controller applies the same action to every agent. The framework is largely inspired by the control of a…

Formal Languages and Automata Theory · Computer Science 2017-07-10 Nathalie Bertrand , Miheer Dewaskar , Blaise Genest , Hugo Gimbert

Coalescent theory combined with statistical modeling allows us to estimate effective population size fluctuations from molecular sequences of individuals sampled from a population of interest. When sequences are sampled serially through…

Populations and Evolution · Quantitative Biology 2021-11-02 Michael D. Karcher , Marc A. Suchard , Gytis Dudas , Vladimir N. Minin

Density dependence is important in the ecology and evolution of microbial and cancer cells. Typically, we can only measure net growth rates, but the underlying density-dependent mechanisms that give rise to the observed dynamics can…

Populations and Evolution · Quantitative Biology 2025-06-04 Linh Huynh , Jacob G. Scott , Peter J. Thomas
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