(CMMSE paper) A finite‐difference model for indoctrination dynamics. (28th November 2018)

• Record Type: Journal Article
• Authors: Medina‐Guevara, M. G.; Vargas‐Rodríguez, H.; Espinoza‐Padilla, P. B.
• Other Names: Vigo-Aguiar Jesus guestEditor.; Kumam Poom guestEditor.
• Is Part Of: Mathematical methods in the applied sciences. Volume 42:Number 17(2019)
• Page Start: 5696
• Page End: 5707
• Publication Date: 2018-11-28
• Subjects: agent‐based model -- indoctrination -- non linear difference equation -- opinion dynamics; Mathematics -- Periodicals; Technology -- Mathematics -- Periodicals; 519
• DOI: 10.1002/mma.5406
• Languages: English
• ISSNs: 0170-4214

Abstract

Abstract : In this work, a system of non‐linear difference equations is employed to model the opinion dynamics between a small group of agents (the target group) and a very persuasive agent (the indoctrinator). Two scenarios are investigated: the indoctrination of a homogeneous target group, in which each agent grants the same weight to his (or her) partner's opinion and the indoctrination of a heterogenous target group, in which each agent may grant a different weight to his or her partner's opinion. Simulations are performed to study the required times by the indoctrinator to convince a group. Initially, these groups are in a consensus about a doctrine different to that of the ideologist. The interactions between the agents are pairwise.