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Free to move or trapped in your group: Mathematical modeling of information overload and coordination in crowded populations
Sapienza Univ Roma, Dipartimento Sci Base & Applicate Ingn, Rome, Italy.
Sapienza Univ Roma, Dipartimento Sci Base & Applicate Ingn, Rome, Italy.
Babes Bolyai Univ, Dept Psychol, Cluj, Romania Open Univ Netherlands, Dept Org, Heerlen, Netherlands.
Karlstad University, Faculty of Health, Science and Technology (starting 2013), Department of Mathematics and Computer Science (from 2013).ORCID iD: 0000-0002-1160-0007
2018 (English)In: Mathematical Models and Methods in Applied Sciences, ISSN 0218-2025, Vol. 28, no 9, p. 1831-1856Article in journal (Refereed) Published
Abstract [en]

We present modeling strategies that describe the motion and interaction of groups of pedestrians in obscured spaces. We start off with an approach based on balance equations in terms of measures and then we exploit the descriptive power of a probabilistic cellular automaton model. Based on a variation of the simple symmetric random walk on the square lattice, we test the interplay between population size and an interpersonal attraction parameter for the evacuation of confined and darkened spaces. We argue that information overload and coordination costs associated with information processing in small groups are two key processes that influence the evacuation rate. Our results show that substantial computational resources are necessary to compensate for incomplete information - the more individuals in (information processing) groups the higher the exit rate for low population size. For simple social systems, it is likely that the individual representations are not redundant and large group sizes ensure that this non-redundant information is actually available to a substantial number of individuals. For complex social systems, information redundancy makes information evaluation and transfer inefficient and, as such, group size becomes a drawback rather than a benefit. The effect of group sizes on outgoing fluxes, evacuation times and wall effects is carefully studied with a Monte Carlo framework accounting also for the presence of an internal obstacle.

Place, publisher, year, edition, pages
Singapore: World Scientific, 2018. Vol. 28, no 9, p. 1831-1856
Keywords [en]
Pedestrian flows, groups, coordination, evacuation, stochastic interacting particle systems, balance of measures, information overload
National Category
Information Systems, Social aspects Mathematics
Research subject
Mathematics; Computer Science
Identifiers
URN: urn:nbn:se:kau:diva-66999DOI: 10.1142/S0218202518400079ISI: 000442620600008OAI: oai:DiVA.org:kau-66999DiVA, id: diva2:1197895
Available from: 2018-04-15 Created: 2018-04-15 Last updated: 2018-09-13Bibliographically approved

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