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Inertial Hegselmann-Krause Systems

Author(s): Chazelle, Bernard; Wang, C

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Abstract: We derive an energy bound for inertial Hegselmann-Krause (HK) systems, which are a variant of the classic HK model that allows agents to change weights as they please at each step. We use the bound to prove the convergence of HK systems with static agents, which settles a widely believed conjecture. This paper also introduces anchored HK systems and show their equivalence to the symmetric heterogeneous model.
Publication Date: 22-Dec-2016
Electronic Publication Date: 2017
Citation: Chazelle, B, Wang, C. (2017). Inertial Hegselmann-Krause Systems. IEEE Transactions on Automatic Control, 62 (3905 - 3913. doi:10.1109/TAC.2016.2644266
DOI: doi:10.1109/TAC.2016.2644266
Pages: 3905 - 3913
Type of Material: Journal Article
Journal/Proceeding Title: IEEE Transactions on Automatic Control
Version: Author's manuscript

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