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

0547096 - ÚI 2022 RIV US eng J - Journal Article
Manshour, Pouya - Montakhab, A.
Dynamics of social balance on networks: The emergence of multipolar societies.
Physical Review E. Roč. 104, č. 3 (2021), č. článku 034303. ISSN 2470-0045. E-ISSN 2470-0053
Institutional support: RVO:67985807
Keywords : Complex systems * Complex networks * Social balance * Statistical Physics
OECD category: Condensed matter physics (including formerly solid state physics, supercond.)
Impact factor: 2.707, year: 2021
Method of publishing: Limited access
http://dx.doi.org/10.1103/PhysRevE.104.034303

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.
Permanent Link: http://hdl.handle.net/11104/0323430