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Opinion Dynamic Games Under One Step Ahead Optimal Control

Bibliographic Data

ID19134690
AuthorsGabriel Gentil (0000-0001-5568-3345, Universidade Federal do Rio de Janeiro, corresponding author), Amit Bhaya (0000-0002-3144-1242, Universidade Federal do Rio de Janeiro)
Year2024
Volume11
Issue3
Pages4202-4213
Publication date2024-03-07
Open AccessYes
TypeARTICLE
VenueIEEE Transactions on Computational Social Systems (JOURNAL)
Journal identifiersISSN: 2329-924X • E-ISSN: 2373-7476
PublisherInstitute of Electrical and Electronics Engineers (PUBLISHER • US)
DOI10.1109/tcss.2024.3364611
OpenAlexW4392543854
LanguageEN
Citations received1
References cited28

This article generalizes two recently proposed opinion dynamics models with control. The generalized model consists of a standard model of agents interacting with each other, to which affine control inputs from players are added. The controls, influencing the opinions of agents, are exercised by entities called players, who specify targets, possibly conflicting, for agents. Three game-playing procedures are defined: sequential, parallel, and asynchronous. Each player has knowledge of the current state of all agents, but no other information about the other players. The player controls are designed using one step ahead optimization. This leads to several novel results: easily computable control policies for each player that depend only on the player’s own information and conditions for convergence to the equilibrium as well as formulas for the latter. Comparisons showing advantages over prior Riccati equation-based methods for networks of different sizes are provided. The code to reproduce all examples and simulations is available on the GitHub site. Overall, the main contribution is the one step ahead optimal control (OSAOC) framework for influencing multiagent opinion dynamics in a decentralized game-theoretic setting

Computer security · Economics · Game theory · Mathematical economics · Mathematical optimization · Optimal control · Sequential game · Computer Science · Mathematics · Opinion Dynamics and Social Influence · Artificial Intelligence

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Citations per year0.5
Citation span2024 - 2024 (1)
Highly citedNo

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