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Crowd-Anticrowd Theory of Collective Dynamics in Competitive,\n Multi-Agent Populations and Networks

2003/06/19 by Neil F. Johnson, Johnson, Neil F., P. M. Hui +3
Physics and Astronomy · Social Sciences · #Complex Network Analysis Techniques #Disordered Systems and Neural Networks (cond-mat.dis-nn) #Evolutionary Game Theory and Cooperation #FOS: Physical sciences #Opinion Dynamics and Social Influence #cond-mat.dis-nn

paper · pdf · doi:10.48550/arxiv.cond-mat/0306516

Contribution to the Workshop on Collectives and the Design of Complex Systems, Stanford University, August 2003 52 pages 9 figures

openalex publication_date 2003/06/19 · arxiv created 2003/06/20 · arxiv updated 2009/11/30 · openalex created_date 2022/10/03 · openalex updated_date 2026/07/28

Abstract

We discuss a crowd-based theory for describing the collective behavior in a\ngeneric multi-agent population which is competing for a limited resource. These\nsystems -- whose binary versions we refer to as B-A-R (Binary Agent Resource)\ncollectives -- have a dynamical evolution which is determined by the aggregate\naction of the heterogeneous, adaptive agent population. Accounting for the\nstrong correlations between agents' strategies, yields an accurate description\nof the system's dynamics in terms of a 'Crowd-Anticrowd' theory. This theory\ncan incorporate the effects of an underlying network within the population.\nMost importantly, its applicability is not just limited to the El Farol Problem\nand the Minority Game. Indeed, the Crowd-Anticrowd theory offers a powerful\napproach to tackling the dynamical behavior of a wide class of agent-based\nComplex Systems, across a range of disciplines. With this in mind, the present\nworking paper is written for a general multi-disciplinary audience within the\nComplex Systems community.\n

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