Geodesic
Optimal control in a multiagent opinion dynamic system
Contributions to game theory and management, Tome 15 (2022), pp. 51-59

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The paper considers a multiagent system of opinion dynamics modeling a finite social network opinion transformation. In the system, there is an influencer or a player who is interested in making the agents' opinions in the system close to the target opinion. We assume that the player can influence the system only at a limited number of time periods. The player minimizes his costs by selecting moments to control the multiagent system at these moments, while at any time period he observes the agents' opinions. The optimization problem is solved using the Euler-equation approach. The numerical simulations represent the proposed method of finding the optimal solution of the problem.
Keywords: multiagent system, opinion dynamics, linear-quadratic games, Euler-equation approach. 
@article{CGTM_2022_15_a5,
     author = {Jingjing Gao and Elena Parilina},
     title = {Optimal control in a multiagent opinion dynamic system},
     journal = {Contributions to game theory and management},
     pages = {51--59},
     publisher = {mathdoc},
     volume = {15},
     year = {2022},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CGTM_2022_15_a5/}
}
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Jingjing Gao; Elena Parilina. Optimal control in a multiagent opinion dynamic system. Contributions to game theory and management, Tome 15 (2022), pp. 51-59. http://geodesic.mathdoc.fr/item/CGTM_2022_15_a5/