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

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

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

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

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

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

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

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2021

Kód důvěrnosti údajů

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

Název periodika

Physical Review E

ISSN

2470-0045

e-ISSN

2470-0053

Svazek periodika

104

Číslo periodika v rámci svazku

3

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

8

Strana od-do

034303

Kód UT WoS článku

000697774300004

EID výsledku v databázi Scopus

2-s2.0-85115137471