dc.contributor.author
Helfmann, Luzie
dc.contributor.author
Heitzig, Jobst
dc.contributor.author
Koltai, Peter
dc.contributor.author
Kurths, Jürgen
dc.contributor.author
Schütte, Christof
dc.date.accessioned
2021-12-01T13:55:33Z
dc.date.available
2021-12-01T13:55:33Z
dc.identifier.uri
https://refubium.fu-berlin.de/handle/fub188/31664
dc.identifier.uri
http://dx.doi.org/10.17169/refubium-31395
dc.description.abstract
Agent-based models are a natural choice for modeling complex social systems. In such models simple stochastic interaction rules for a large population of individuals on the microscopic scale can lead to emergent dynamics on the macroscopic scale, for instance a sudden shift of majority opinion or behavior. Here we are introducing a methodology for studying noise-induced tipping between relevant subsets of the agent state space representing characteristic configurations. Due to a large number of interacting individuals, agent-based models are high-dimensional, though usually a lower-dimensional structure of the emerging collective behaviour exists. We therefore apply Diffusion Maps, a non-linear dimension reduction technique, to reveal the intrinsic low-dimensional structure. We characterize the tipping behaviour by means of Transition Path Theory, which helps gaining a statistical understanding of the tipping paths such as their distribution, flux and rate. By systematically studying two agent-based models that exhibit a multitude of tipping pathways and cascading effects, we illustrate the practicability of our approach.
en
dc.format.extent
23 Seiten
dc.rights.uri
https://creativecommons.org/licenses/by/4.0/
dc.subject
agent-based models
en
dc.subject
statistical analysis
en
dc.subject
tipping pathways
en
dc.subject.ddc
500 Naturwissenschaften und Mathematik::530 Physik::530 Physik
dc.title
Statistical analysis of tipping pathways in agent-based models
dc.type
Wissenschaftlicher Artikel
dcterms.bibliographicCitation.doi
10.1140/epjs/s11734-021-00191-0
dcterms.bibliographicCitation.journaltitle
The European Physical Journal Special Topics
dcterms.bibliographicCitation.number
16-17
dcterms.bibliographicCitation.pagestart
3249
dcterms.bibliographicCitation.pageend
3271
dcterms.bibliographicCitation.volume
230
dcterms.bibliographicCitation.url
https://doi.org/10.1140/epjs/s11734-021-00191-0
refubium.affiliation
Mathematik und Informatik
refubium.affiliation.other
Institut für Mathematik
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refubium.funding
Springer Nature DEAL
refubium.note.author
Die Publikation wurde aus Open Access Publikationsgeldern der Freien Universität Berlin gefördert.
refubium.resourceType.isindependentpub
no
dcterms.accessRights.openaire
open access
dcterms.isPartOf.eissn
1951-6401
refubium.resourceType.provider
WoS-Alert