Multi-dimensional Hegselmann-Krause dynamics

Angelia Nedich, B. Touri

Research output: Contribution to journalArticle

31 Citations (Scopus)

Abstract

We consider multi-dimensional Hegselmann-Krause model for opinion dynamics in discrete-time for a set of homogeneous agents. Using dynamic system point of view, we investigate stability properties of the dynamics and show its finite time convergence. The novelty of this work lies in the use of dynamic system approach and the development of Lyapunov-type tools for the analysis of the Hegselmann-Krause model. Furthermore, some new insights and results are provided. The results are valid for any norm that is used to define the neighbor sets.

Original languageEnglish (US)
Article number6426417
Pages (from-to)68-73
Number of pages6
JournalUnknown Journal
DOIs
StatePublished - 2012
Externally publishedYes

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Dynamic Systems
Dynamical systems
Opinion Dynamics
Convergence Time
Lyapunov
Discrete-time
Valid
Norm
Model

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Modeling and Simulation
  • Control and Optimization

Cite this

Multi-dimensional Hegselmann-Krause dynamics. / Nedich, Angelia; Touri, B.

In: Unknown Journal, 2012, p. 68-73.

Research output: Contribution to journalArticle

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