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dc.contributor.author
Yukalov, Vyacheslav I.
dc.contributor.author
Yukalova, Elizaveta P.
dc.contributor.author
Sornette, Didier
dc.date.accessioned
2018-10-18T12:35:13Z
dc.date.available
2017-06-11T01:45:38Z
dc.date.available
2018-10-18T12:35:13Z
dc.date.issued
2013-12-30
dc.identifier.issn
1932-6203
dc.identifier.other
10.1371/journal.pone.0083225
en_US
dc.identifier.uri
http://hdl.handle.net/20.500.11850/76539
dc.identifier.doi
10.3929/ethz-b-000076539
dc.description.abstract
We present a novel system of equations to describe the evolution of self-organized structured societies (biological or human) composed of several trait groups. The suggested approach is based on the combination of ideas employed in the theory of biological populations, system theory, and utility theory. The evolution equations are defined as utility rate equations, whose parameters are characterized by the utility of each group with respect to the society as a whole and by the mutual utilities of groups with respect to each other. We analyze in detail the cases of two groups (cooperators and defectors) and of three groups (cooperators, defectors, and regulators) and find that, in a self-organized society, neither defectors nor regulators can overpass the maximal fractions of about each. This is in agreement with the data for bee and ant colonies. The classification of societies by their distance from equilibrium is proposed. We apply the formalism to rank the countries according to the introduced metric quantifying their relative stability, which depends on the cost of defectors and regulators as well as their respective population fractions. We find a remarkable concordance with more standard economic ranking based, for instance, on GDP per capita.
en_US
dc.format
application/pdf
en_US
dc.language.iso
en
en_US
dc.publisher
Public Library of Science
en_US
dc.rights.uri
http://creativecommons.org/licenses/by/4.0/
dc.title
Utility Rate Equations of Group Population Dynamics in Biological and Social Systems
en_US
dc.type
Journal Article
dc.rights.license
Creative Commons Attribution 4.0 International
ethz.journal.title
PLoS ONE
ethz.journal.volume
8
en_US
ethz.journal.issue
12
en_US
ethz.journal.abbreviated
PLoS ONE
ethz.pages.start
e83225
en_US
ethz.size
15 p.
en_US
ethz.version.deposit
publishedVersion
en_US
ethz.identifier.wos
ethz.identifier.scopus
ethz.identifier.nebis
006206116
ethz.publication.place
Lawrence, KS, USA
en_US
ethz.publication.status
published
en_US
ethz.leitzahl
ETH Zürich::00002 - ETH Zürich::00012 - Lehre und Forschung::00007 - Departemente::02120 - Dep. Management, Technologie und Ökon. / Dep. of Management, Technology, and Ec.::03738 - Sornette, Didier / Sornette, Didier
en_US
ethz.leitzahl.certified
ETH Zürich::00002 - ETH Zürich::00012 - Lehre und Forschung::00007 - Departemente::02120 - Dep. Management, Technologie und Ökon. / Dep. of Management, Technology, and Ec.::03738 - Sornette, Didier / Sornette, Didier
ethz.date.deposited
2017-06-11T01:47:48Z
ethz.source
ECIT
ethz.identifier.importid
imp593651586103d20828
ethz.ecitpid
pub:120882
ethz.eth
yes
en_US
ethz.availability
Open access
en_US
ethz.rosetta.installDate
2017-07-13T13:37:43Z
ethz.rosetta.lastUpdated
2018-12-03T01:18:18Z
ethz.rosetta.versionExported
true
ethz.COinS
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