Inertial Hegselmann-Krause Systems

Bernard Chazelle; Chu Wang

doi:10.1109/TAC.2016.2644266

Inertial Hegselmann-Krause Systems

Bernard Chazelle, Chu Wang

Research output: Contribution to journal › Article › peer-review

50 Scopus citations

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.

Original language	English (US)
Article number	7795162
Pages (from-to)	3905-3913
Number of pages	9
Journal	IEEE Transactions on Automatic Control
Volume	62
Issue number	8
DOIs	https://doi.org/10.1109/TAC.2016.2644266
State	Published - Aug 2017
Externally published	Yes

All Science Journal Classification (ASJC) codes

Control and Systems Engineering
Computer Science Applications
Electrical and Electronic Engineering

Keywords

Hegselmann-Krause (HK)
model organism

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10.1109/TAC.2016.2644266

Cite this

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AB - 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.

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KW - model organism

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Inertial Hegselmann-Krause Systems

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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