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Main Authors: Paz, Juan, Rocha, Camilo, Tobòn, Luis, Valencia, Frank
Format: Preprint
Published: 2024
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Online Access:https://arxiv.org/abs/2409.10809
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author Paz, Juan
Rocha, Camilo
Tobòn, Luis
Valencia, Frank
author_facet Paz, Juan
Rocha, Camilo
Tobòn, Luis
Valencia, Frank
contents Interest is growing in social learning models where users share opinions and adjust their beliefs in response to others. This paper introduces generalized-bias opinion models, an extension of the DeGroot model, that captures a broader range of cognitive biases. These models can capture, among others, dynamic (changing) influences as well as ingroup favoritism and out-group hostility, a bias where agents may react differently to opinions from members of their own group compared to those from outside. The reactions are formalized as arbitrary functions that depend, not only on opinion difference, but also on the particular opinions of the individuals interacting. Under certain reasonable conditions, all agents (despite their biases) will converge to a consensus if the influence graph is strongly connected, as in the original DeGroot model. The proposed approach combines different biases, providing deeper insights into the mechanics of opinion dynamics and influence within social networks.
format Preprint
id arxiv_https___arxiv_org_abs_2409_10809
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Consensus in Models for Opinion Dynamics with Generalized-Bias
Paz, Juan
Rocha, Camilo
Tobòn, Luis
Valencia, Frank
Social and Information Networks
Dynamical Systems
Interest is growing in social learning models where users share opinions and adjust their beliefs in response to others. This paper introduces generalized-bias opinion models, an extension of the DeGroot model, that captures a broader range of cognitive biases. These models can capture, among others, dynamic (changing) influences as well as ingroup favoritism and out-group hostility, a bias where agents may react differently to opinions from members of their own group compared to those from outside. The reactions are formalized as arbitrary functions that depend, not only on opinion difference, but also on the particular opinions of the individuals interacting. Under certain reasonable conditions, all agents (despite their biases) will converge to a consensus if the influence graph is strongly connected, as in the original DeGroot model. The proposed approach combines different biases, providing deeper insights into the mechanics of opinion dynamics and influence within social networks.
title Consensus in Models for Opinion Dynamics with Generalized-Bias
topic Social and Information Networks
Dynamical Systems
url https://arxiv.org/abs/2409.10809