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Dynamics of social balance on networks: The emergence of multipolar societies

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985807%3A_____%2F21%3A00547096" target="_blank" >RIV/67985807:_____/21:00547096 - isvavai.cz</a>

  • Result on the web

    <a href="http://dx.doi.org/10.1103/PhysRevE.104.034303" target="_blank" >http://dx.doi.org/10.1103/PhysRevE.104.034303</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1103/PhysRevE.104.034303" target="_blank" >10.1103/PhysRevE.104.034303</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Dynamics of social balance on networks: The emergence of multipolar societies

  • Original language description

    Within the context of social balance theory, much attention has been paid to the attainment and stability of unipolar or bipolar societies. However, multipolar societies are commonplace in the real world, despite the fact that the mechanism of their emergence is much less explored. Here, we investigate the evolution of a society of interacting agents with friendly (positive) and enmity (negative) relations into a final stable multipolar state. Triads are assigned energy according to the degree of tension they impose on the network. Agents update their connections to decrease the total energy (tension) of the system, on average. Our approach is to consider a variable energy ϵ∈[0,1] for triads which are entirely made of negative relations. We show that the final state of the system depends on the initial density of the friendly links ρ0. For initial densities greater than an ϵ-dependent threshold ρ0c(ϵ), a unipolar (paradise) state is reached. However, for ρ0≤ρ0c(ϵ), multipolar and bipolar states can emerge. We observe that the number of stable final poles increases with decreasing ϵ where the first transition from bipolar to multipolar society occurs at ϵ∗≈0.67. We end the paper by providing a mean-field calculation that provides an estimate for the critical (ϵ dependent) initial positive link density, which is consistent with our simulations.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    10302 - Condensed matter physics (including formerly solid state physics, supercond.)

Result continuities

  • Project

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2021

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Physical Review E

  • ISSN

    2470-0045

  • e-ISSN

    2470-0053

  • Volume of the periodical

    104

  • Issue of the periodical within the volume

    3

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    8

  • Pages from-to

    034303

  • UT code for WoS article

    000697774300004

  • EID of the result in the Scopus database

    2-s2.0-85115137471