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Opinion Dynamics Control in a Social Network with a Communication Structure

Author

Listed:
  • Hui Jiang

    (Qingdao University)

  • Vladimir V. Mazalov

    (Russian Academy of Sciences)

  • Hongwei Gao

    (Qingdao University)

  • Chen Wang

    (Qingdao University)

Abstract

This paper considers a game-theoretic model of external control influence on opinion dynamics and reached consensus in a social network. The network participants are linked through an arbitrary communication graph. The goal of control is to keep the opinions of all network participants in the neighborhood of a given value. If there are several players, these target values may differ. The dynamic game under consideration belongs to the class of linear-quadratic games in discrete time. Optimal control and equilibrium are calculated using the Bellman equation. In the symmetric case, the solution is constructed analytically. Some numerical simulations illustrate the influence of the communication structure of a social network on the opinion dynamics and reached consensus.

Suggested Citation

  • Hui Jiang & Vladimir V. Mazalov & Hongwei Gao & Chen Wang, 2023. "Opinion Dynamics Control in a Social Network with a Communication Structure," Dynamic Games and Applications, Springer, vol. 13(1), pages 412-434, March.
    • Handle: RePEc:spr:dyngam:v:13:y:2023:i:1:d:10.1007_s13235-021-00406-y
    DOI: 10.1007/s13235-021-00406-y
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    References listed on IDEAS

    as
    1. Vladimir Mazalov & Elena Parilina, 2020. "The Euler-Equation Approach in Average-Oriented Opinion Dynamics," Mathematics, MDPI, vol. 8(3), pages 1-16, March.
    2. Dockner,Engelbert J. & Jorgensen,Steffen & Long,Ngo Van & Sorger,Gerhard, 2000. "Differential Games in Economics and Management Science," Cambridge Books, Cambridge University Press, number 9780521637329, September.
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