Geodesic
Opinion dynamics in multiagent systems with optimal choice of opinion verification moments
Matematičeskaâ teoriâ igr i eë priloženiâ, Tome 14 (2022) no. 4, pp. 3-23

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In this paper, we consider a model of opinion dynamics in the social network, that is a multiagent system with finite number of agents. There exists a center of influence on agent's opinion by choosing control, which is an influence level at every time period. In the model, center's costs are represented by a linear-quadratic function of a state variable and its controls. The center of influence aims to choose a finite number of opinion verification moments to compare agents' opinion with the target one. We provide a solution of this dynamic problem. In the numerical simulations, we show how to find optimal opinion verification moments, corresponding optimal state trajectories and controls.
Keywords: opinion dynamics, social network, linear-quadratic costs
Mots-clés : optimal opinion verification moments. 
@article{MGTA_2022_14_4_a0,
     author = {Jingjing Gao and Elena M. Parilina},
     title = {Opinion dynamics in multiagent systems with optimal choice of opinion verification moments},
     journal = {Matemati\v{c}eska\^a teori\^a igr i e\"e prilo\v{z}eni\^a},
     pages = {3--23},
     publisher = {mathdoc},
     volume = {14},
     number = {4},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MGTA_2022_14_4_a0/}
}
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Jingjing Gao; Elena M. Parilina. Opinion dynamics in multiagent systems with optimal choice of opinion verification moments. Matematičeskaâ teoriâ igr i eë priloženiâ, Tome 14 (2022) no. 4, pp. 3-23. http://geodesic.mathdoc.fr/item/MGTA_2022_14_4_a0/