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Free to move or trapped in your group : Mathematical modeling of information overload and coordination in crowded populations

Ciallellla, Alessandro (author)
Sapienza Univ Roma, Dipartimento Sci Base & Applicate Ingn, Rome, Italy
Cirillo, Emilio (author)
Sapienza Univ Roma, Dipartimento Sci Base & Applicate Ingn, Rome, Italy
Curseu, Petre (author)
Babes Bolyai Univ, Dept Psychol, Cluj, Romania Open Univ Netherlands, Dept Org, Heerlen, Netherlands
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Muntean, Adrian, 1974- (author)
Karlstads universitet,Institutionen för matematik och datavetenskap (from 2013)
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 (creator_code:org_t)
Singapore : World Scientific, 2018
2018
English.
In: Mathematical Models and Methods in Applied Sciences. - Singapore : World Scientific. - 0218-2025. ; 28:9, s. 1831-1856
  • Journal article (peer-reviewed)
Abstract Subject headings
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  • 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.

Subject headings

SAMHÄLLSVETENSKAP  -- Medie- och kommunikationsvetenskap -- Systemvetenskap, informationssystem och informatik med samhällsvetenskaplig inriktning (hsv//swe)
SOCIAL SCIENCES  -- Media and Communications -- Information Systems, Social aspects (hsv//eng)
NATURVETENSKAP  -- Matematik (hsv//swe)
NATURAL SCIENCES  -- Mathematics (hsv//eng)

Keyword

Pedestrian flows
groups
coordination
evacuation
stochastic interacting particle systems
balance of measures
information overload
Matematik
Mathematics
Computer Science
Datavetenskap

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ref (subject category)
art (subject category)

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Ciallellla, Ales ...
Cirillo, Emilio
Curseu, Petre
Muntean, Adrian, ...
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SOCIAL SCIENCES
SOCIAL SCIENCES
and Media and Commun ...
and Information Syst ...
NATURAL SCIENCES
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Mathematical Mod ...
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Karlstad University

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