Depolarization of echo chambers by random dynamical nudge

Currin, Christopher Brian; Vera, Sebastián Vallejo; Khaledi-Nasab, Ali

doi:10.48550/arxiv.2101.04079

Cited by 2 publications

(3 citation statements)

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“…where F Δθ is a rigid rotation of a spin by the corresponding angle Δθ. In this case the symmetry group is SO (2), and it preserves the multiplication in the Hamiltonian. In the absence of external fields, a realization {θ k =1 } contributes with θ 1 exactly as the realization { θk =1 } with θ1 , and therefore the contribution of Z eff N −1 is independent of the specific angle of σ 1 .…”

Section: Models With Weak Echo-chamber Symmetrymentioning

confidence: 99%

“…The formation of echo-chambers in social media [1,2] is thought to strongly affect how opinions spread across a social network and contribute to increased social polarity. This occurs as like-minded people cluster in disjoint networks wherein information produced by any individual is reflected back at her [3] to increase her confidence artificially.…”

Section: Introductionmentioning

confidence: 99%

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Echo chambers in the Ising model and implications on the mean magnetization

Baravi¹,

Feinerman²,

Raz³

2022

J. Stat. Mech.

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The echo-chamber effect is a common term in opinion dynamic modeling to describe how a person’s opinion might be artificially enhanced as it is reflected back at her through social interactions. Here, we study the existence of this effect in statistical mechanics models, which are commonly used to study opinion dynamics. We show that the Ising model does not exhibit echo-chambers, but this result is a consequence of a special symmetry. We then distinguish between three types of models: (i) those with a strong echo-chamber symmetry, that have no echo-chambers at all; (ii) those with a weak echo-chamber symmetry that can exhibit echo-chambers but only if there are external fields in the system, and (iii) models without echo-chamber symmetry that generically have echo-chambers. We use these results to construct an efficient algorithm to efficiently and precisely calculate magnetization in arbitrary tree networks. Finally, we apply this algorithm to study two systems: phase transitions in the random field Ising model on a Bethe lattice and the influence optimization problem in social networks.

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Section: Models With Weak Echo-chamber Symmetrymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Echo chambers in the Ising model and implications on the mean magnetization

Baravi¹,

Feinerman²,

Raz³

2022

J. Stat. Mech.

View full text Add to dashboard Cite

show abstract

“…The formation of echo-chambers in social media [1,2] is thought to strongly affect the ways in which opinions spread across a social network and contribute to increased social polarity. This occurs as like-minded people cluster in disjoint networks wherein information produced by any individual is reflected back at her [3] to artificially increase her confidence.…”

Section: Introductionmentioning

confidence: 99%

Echo chambers in the Ising model and implications on the mean magnetization

Baravi,

Feinerman,

Raz

2022

Preprint

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The echo-chamber effect is a common term in opinion dynamic modeling, where it describes how person's opinion might be artificially enhanced as it is reflected back at her through social interactions.Here, we study the existence of this effect in statistical mechanics models which are commonly used to study opinion dynamics. By exploring the influence of the network on a spin, we find that this influence can be described using an effective field which is independent of the external field on the spin itself. Using this effective field approach, we then show that there are no echo-chambers in the Ising model, but that this is a consequence of a special symmetry which is not common in other models. We then distinguish between three types of models: (i) those with a strong echo-chamber symmetry, that have no echo-chamber effect at all; (ii) models with a weak echo-chamber symmetry that can have echo-chambers only if there are no external fields in the system, and (iii) models without echo-chamber symmetry that generally include echo-chambers. The effective field method is then used to construct an efficient algorithm to find the mean magnetization in tree networks. We apply this algorithm to study two systems: phase transitions in the random field Ising model on a Bethe lattice, and the influence optimization problem in social networks.

show abstract

Depolarization of echo chambers by random dynamical nudge

Cited by 2 publications

References 0 publications

Echo chambers in the Ising model and implications on the mean magnetization

Echo chambers in the Ising model and implications on the mean magnetization

Echo chambers in the Ising model and implications on the mean magnetization

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