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We study, both numerically and analytically, a Binary-Agent-Resource (B-A-R) model consisting of N agents who compete for a limited resource 1/2<L/N <1, where L is the maximum available resource per turn for all N agents. As L increases,…

Disordered Systems and Neural Networks · Physics 2007-05-23 H. Y. Chan , T. S. Lo , P. M. Hui , N. F. Johnson

We discuss a crowd-based theory for describing the collective behavior in Complex Systems comprising multi-agent populations competing for a limited resource. These systems -- whose binary versions we refer to as B-A-R (Binary Agent…

Statistical Mechanics · Physics 2007-05-23 Neil F. Johnson , Sehyo C. Choe , Sean Gourley , Timothy Jarrett , Pak Ming Hui

We discuss a crowd-based theory for describing the collective behavior in a generic multi-agent population which is competing for a limited resource. These systems -- whose binary versions we refer to as B-A-R (Binary Agent Resource)…

Disordered Systems and Neural Networks · Physics 2007-05-23 Neil F. Johnson , Pak Ming Hui

Understanding decision-making in multi-AI-agent frameworks is crucial for analyzing strategic interactions in network-effect-driven contexts. This study investigates how AI agents navigate network-effect games, where individual payoffs…

Multiagent Systems · Computer Science 2025-12-16 Yu Liu , Wenwen Li , Yifan Dou , Guangnan Ye

When resources are scarce, will a population of AI agents coordinate in harmony, or descend into tribal chaos? Diverse decision-making AI from different developers is entering everyday devices -- from phones and medical devices to…

Artificial Intelligence · Computer Science 2026-03-13 Neil F. Johnson

We study a model of competition among nomadic agents for time-varying and location-specific resources, arising in crowd-sourced transportation services, online communities, and traditional location-based economic activity. This model…

Computer Science and Game Theory · Computer Science 2018-08-17 Pu Yang , Krishnamurthy Iyer , Peter Frazier

To improve the reasoning and question-answering capabilities of Large Language Models (LLMs), several multi-agent approaches have been introduced. While these methods enhance performance, the application of collective intelligence-based…

Artificial Intelligence · Computer Science 2024-07-10 Ciaran Regan , Alexandre Gournail , Mizuki Oka

We consider a model of nomadic agents exploring and competing for time-varying location-specific resources, arising in crowdsourced transportation services, online communities, and in traditional location based economic activity. This model…

Computer Science and Game Theory · Computer Science 2016-02-23 Pu Yang , Krishnamurthy Iyer , Peter Frazier

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

Competition for a limited resource is the hallmark of many complex systems, and often, that resource turns out to be the physical space itself. In this work, we study a novel model designed to elucidate the dynamics and emergence in complex…

Physics and Society · Physics 2026-03-18 Ann Mary Mathew , V Sasidevan

For a binary choice problem, the spatial coordination of decisions in an agent community is investigated both analytically and by means of stochastic computer simulations. The individual decisions are based on different local information…

Statistical Mechanics · Physics 2009-11-07 Frank Schweitzer , Joerg Zimmermann , Heinz Muehlenbein

We consider a control problem involving several agents coupled through multiple unit-demand resources. Such resources are indivisible, and each agent's consumption is modeled as a Bernoulli random variable. Controlling the number of such…

Systems and Control · Computer Science 2019-04-30 Syed Eqbal Alam , Robert Shorten , Fabian Wirth , Jia Yuan Yu

Natural, social, and artificial multi-agent systems usually operate in dynamic environments, where the ability to respond to changing circumstances is a crucial feature. An effective collective response requires suitable information…

Systems and Control · Computer Science 2022-09-29 David Mateo , Nikolaj Horsevad , Vahid Hassani , Mohammadreza Chamanbaz , Roland Bouffanais

We study a model of binary decisions in a fully connected network of interacting agents. Individual decisions are determined by social influence, coming from direct interactions with neighbours, and a group level pressure that accounts for…

Probability · Mathematics 2021-10-27 Michele Aleandri , Ida Germana Minelli

A model of Boolean agents competing in a market is presented where each agent bases his action on information obtained from a small group of other agents. The agents play a competitive game that rewards those in the minority. After a long…

Statistical Mechanics · Physics 2009-10-31 Maya Paczuski , Kevin E. Bassler , Alvaro Corral

In the study of the evolution of cooperation, resource limitations are usually assumed just to provide a finite population size. Recently, however, it has been pointed out that resource limitation may also generate dynamical payoffs able to…

Biological Physics · Physics 2013-12-13 R. J. Requejo , J. Camacho

In the study of the evolution of cooperation, resource limitations are usually assumed just to provide a finite population size. Recently, however, agent-based models have pointed out that resource limitation may modify the original…

Biological Physics · Physics 2012-10-26 Rubén J. Requejo , Juan Camacho

Demand outstrips available resources in most situations, which gives rise to competition, interaction and learning. In this article, we review a broad spectrum of multi-agent models of competition (El Farol Bar problem, Minority Game,…

We analyze a simple model of adaptive competition which captures essential features of a variety of adaptive competitive systems in the social and biological sciences. Each of N agents, at each time step of a game, joins one of two groups.…

adap-org · Physics 2007-05-23 Robert Savit , Radu Manuca , Rick Riolo

Algorithmic collusion has emerged as a central question in AI: Will the interaction between different AI agents deployed in markets lead to collusion? More generally, understanding how emergent behavior, be it a cartel or market dominance…

Multiagent Systems · Computer Science 2025-10-31 Ziyi Wang , Carmine Ventre , Maria Polukarov
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