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We investigate the behavioral patterns of a population of agents, each controlled by a simple biologically motivated neural network model, when they are set in competition against each other in the Minority Model of Challet and Zhang. We…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Joseph Wakeling , Per Bak

In this work we focus on a natural class of population protocols whose dynamics are modelled by the discrete version of Lotka-Volterra equations. In such protocols, when an agent $a$ of type (species) $i$ interacts with an agent $b$ of type…

Data Structures and Algorithms · Computer Science 2015-04-01 Jurek Czyzowicz , Leszek Gasieniec , Adrian Kosowski , Evangelos Kranakis , Paul G. Spirakis , Przemyslaw Uznanski

We consider the classical problem of optimal portfolio construction with the constraint that no short position is allowed, or equivalently the valid equilibria of multispecies Lotka-Volterra equations with self-regulation in the special…

Statistical Mechanics · Physics 2021-10-22 Jerome Garnier-Brun , Michael Benzaquen , Stefano Ciliberti , Jean-Philippe Bouchaud

In the context of climate change and significant changes in human activities around the world, coral reefs are subject to many disruptions. We develop here a tool to help decision-making in Moorea (French Polynesia), based on multi-agent…

Multiagent Systems · Computer Science 2020-08-24 Olivier Rousselle

We have analyzed the interplay between noise and periodic modulations in a classical Lotka-Volterra model of two-species competition. We have found that the consideration of noise changes drastically the behavior of the system and leads to…

Statistical Mechanics · Physics 2009-10-31 J. M. G. Vilar , R. V. Solé

The general picture of game theoretic modeling dealt with here is characterized by a set of big players, also referred to as principals or major agents, acting on the background of large pools of small players, the impact of the behavior of…

Optimization and Control · Mathematics 2019-11-12 Vassili N. Kolokoltsov , Oleg A. Malafeyev

The spatio-temporal dynamics of three interacting species, two preys and one predator, in the presence of two different kinds of noise sources is studied. To describe the spatial distributions of the species we use a model based on…

Statistical Mechanics · Physics 2009-11-13 Davide Valenti , Bernardo Spagnolo

In this article we study the impact of the negotiation environment on the performance of several intra-team strategies (team dynamics) for agent-based negotiation teams that negotiate with an opponent. An agent-based negotiation team is a…

Multiagent Systems · Computer Science 2016-04-19 Victor Sanchez-Anguix , Vicente Julian , Vicente Botti , Ana Garcia-Fornes

We investigate the Lotka-Volterra model for predator-prey competition with a finite carrying capacity that varies periodically in time, modeling seasonal variations in nutrients or food resources. In the absence of time variability, the…

Pattern Formation and Solitons · Physics 2026-05-05 Mohamed Swailem , Alastair M. Rucklidge

In this work, we examine a kinetic framework for modeling the time evolution of size distribution densities of two populations governed by predator-prey interactions. The model builds upon the classical Boltzmann-type equations, where the…

Analysis of PDEs · Mathematics 2025-11-27 Andrea Bondesan , Marco Menale , Giuseppe Toscani , Mattia Zanella

The relationship between the Moran model and stochastic Lotka-Volterra competition (SLVC) model is explored via timescale separation arguments. For neutral systems the two are found to be equivalent at long times. For systems with selective…

Populations and Evolution · Quantitative Biology 2015-04-16 George W. A. Constable , Alan J. McKane

This paper is concerned with reaction-diffusion systems of two symmetric species in spatial dimension one, having two stable symmetric equilibria connected by a symmetric standing front. The first order variation of the speed of this front…

Analysis of PDEs · Mathematics 2017-03-08 Emmanuel Risler

We study a recently proposed model in which an odd number of agents are competing to be in the minority. The agents have one strategy in hand which is to follow the most recent history. Each agent is also assigned a value p, which is the…

Condensed Matter · Physics 2009-10-31 P. M. Hui , T. S. Lo , N. F. Johnson

Simulation of population dynamics is a central research theme in computational biology, which contributes to understanding the interactions between predators and preys. Conventional mathematical tools of this theme, however, are incapable…

Multiagent Systems · Computer Science 2020-02-11 Jun Yamada , John Shawe-Taylor , Zafeirios Fountas

The population protocol model describes collections of distributed agents that interact in pairs to solve a common task. We consider a dynamic variant of this prominent model, where we assume that an adversary may change the population size…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-05-09 Dominik Kaaser , Maximilian Lohmann

We consider a dynamic collective choice problem where a large number of players are cooperatively choosing between multiple destinations while being influenced by the behavior of the group. For example, in a robotic swarm exploring a new…

Systems and Control · Computer Science 2016-06-17 Rabih Salhab , Jerome Le Ny , Roland P. Malhamé

Diversity is an important aspect of highly efficient multi-agent teams. We introduce the main factors that drive a multi-agent system in either direction along the diversity scale. A metric for diversity is described, and we speculate on…

Artificial Intelligence · Computer Science 2007-05-23 David Lyback

In this paper, the global dynamics of two-species Lotka-Volterra competition models with nonlocal dispersals is studied. Under the assumption that dispersal kernels are symmetric, we prove that except for very special situations, local…

Analysis of PDEs · Mathematics 2015-12-09 Xueli Bai , Fang Li

The model of a non-Bayesian agent who faces a repeated game with incomplete information against Nature is an appropriate tool for modeling general agent-environment interactions. In such a model the environment state (controlled by Nature)…

Artificial Intelligence · Computer Science 2014-11-17 D. Monderer , M. Tennenholtz

We consider a modification of the voter model in which a set of interacting elements (agents) can be in either of two equivalent states (A or B) or in a third additional mixed AB state. The model is motivated by studies of language…

Physics and Society · Physics 2007-09-10 Xavier Castelló , Víctor M. Eguíluz , Maxi San Miguel
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