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Agent-based modelling of sports riots

Alastair J. Clements and Nabil T. Fadai

Physica A: Statistical Mechanics and its Applications, 2022, vol. 597, issue C

Abstract: Riots originating during, or in the aftermath of, sports events can incur significant costs in damages, as well as large-scale panic and injuries. A mathematical description of sports riots is therefore sought to better understand their propagation and limit these physical and financial damages. In this work, we present an agent-based modelling (ABM) framework that describes the qualitative features of populations engaging in riotous behaviour. Agents, pertaining to either a ‘rioter’ or a ‘bystander’ sub-population, move on an underlying lattice and can either be recruited or defect from their respective sub-population. In particular, we allow these individual-level recruitment and defection processes to vary with local population density. This agent-based modelling framework provides the unifying link between multi-population stochastic models and density-dependent reaction processes. Furthermore, the continuum description of this ABM framework is shown to be a system of nonlinear reaction–diffusion equations and faithfully agrees with the average ABM behaviour from individual simulations. Finally, we determine the unique correspondence between the underlying individual-level recruitment and defection mechanisms with their population-level counterparts, providing a link between local-scale effects and macroscale rioting phenomena.

Keywords: Cellular automata; Multi-species models; Exclusion processes; Population models (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:597:y:2022:i:c:s0378437122002382

DOI: 10.1016/j.physa.2022.127279

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Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

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