Geodesic
Competition for agents' opinions in small dynamic systems with limited control
Vestnik Sankt-Peterburgskogo universiteta. Prikladnaâ matematika, informatika, processy upravleniâ, Tome 20 (2024) no. 3, pp. 404-415
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This paper explores a competitive opinion dynamic system representing a social network evolving over time. The agents compare their own opinions with the average ones and form new opinions. There are players who control agents' opinions in a social network, and their aims are to make opinions in the society closer to the desired levels over a finite time horizon by minimizing their costs. The feature of this model is that players can influence agents in a limited number of time moments. We show how players can choose the moments of influence from Pareto optimal set on numerical examples. The results of numerical simulations are provided in the work.
Keywords: opinion competition game, Nash equilibrium, opinion dynamics, social network. 
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J. Gao. Competition for agents' opinions in small dynamic systems with limited control. Vestnik Sankt-Peterburgskogo universiteta. Prikladnaâ matematika, informatika, processy upravleniâ, Tome 20 (2024) no. 3, pp. 404-415. http://geodesic.mathdoc.fr/item/VSPUI_2024_20_3_a7/

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