2017
DOI: 10.1103/physreve.96.022310
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Modeling and numerical simulations of the influenced Sznajd model

Abstract: This paper investigates the effects of independent nonconformists or influencers on the behavioral dynamic of a population of agents interacting with each other based on the Sznajd model. The system is modeled on a complete graph using the master equation. The acquired equation has been numerically solved. Accuracy of the mathematical model and its corresponding assumptions have been validated by numerical simulations. Regions of initial magnetization have been found from where the system converges to one of t… Show more

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Cited by 14 publications
(8 citation statements)
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“…Such a structure corresponds to a social network represented by a complete graph where each node is associated with one agent, and links indicate possible interactions between individuals. Networks like this one are frequently used to model relations in small groups or cliques where everybody knows each other [36,47]. In order to mimic interactions in larger societies where the social structure is more complicated, complex networks are embraced, and they form a framework for agent-based models [25,32,48].…”
Section: Model Descriptionmentioning
confidence: 99%
“…Such a structure corresponds to a social network represented by a complete graph where each node is associated with one agent, and links indicate possible interactions between individuals. Networks like this one are frequently used to model relations in small groups or cliques where everybody knows each other [36,47]. In order to mimic interactions in larger societies where the social structure is more complicated, complex networks are embraced, and they form a framework for agent-based models [25,32,48].…”
Section: Model Descriptionmentioning
confidence: 99%
“…The researchers studied the controllability of the system both mathematically and with simulations. In another article by the mentioned researchers [22], the controllability of the influenced Sznajd model has been studied in depth. The findings of both studies confirm the findings of the present paper regarding controllability of opinion dynamic in social systems.…”
Section: Discussionmentioning
confidence: 99%
“…Regardless of the type of information, its influence will decline over time [3]. Meanwhile, an individual has the characteristics of forgetting, and we define the acceptance of agent to the discount opinions as formula (6), where α is the attenuation coefficient:…”
Section: S(a I X(t)) Represents the Number Of Agents In The I(a I X...mentioning
confidence: 99%
“…In 2006, Grabowski and Kosiński [2] creatively used random interactions between molecules in physics to simulate the communication process between people, forming the famous Issing model [2]. With the deepening of research, scholars have proposed Voters model [3][4][5], Sznajd model [6][7][8], and so on. Because these models divide the opinions values into independent points, so they are called discrete opinion evolution models.…”
Section: Introductionmentioning
confidence: 99%