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Opinion Dynamics with Multi-body Interactions

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Network Games, Control and Optimization (NETGCOOP 2021)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 1354))

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Abstract

We introduce and analyse a three-body consensus model (3CM) for non-linear consensus dynamics on hypergraphs. Our model incorporates reinforcing group effects, which can cause shifts in the average state of the system even in if the underlying graph is complete (corresponding to a mean-field interaction), a phenomena that may be interpreted as a type of peer pressure. We further demonstrate that for systems with two clustered groups, already a small asymmetry in our dynamics can lead to the opinion of one group becoming clearly dominant. We show that the nonlinearity in the model is the essential ingredient to make such group dynamics appear, and demonstrate how our system can otherwise be written as a linear, pairwise interaction system on a rescaled network.

Parts of this work have been presented in [12]. L. Neuhäuser was financially supported by the Hertie School. M. Schaub was supported by the European Union’s Horizon 2020 research and innovation programme under the Marie Sklodowska-Curie grant agreement No 702410.

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Acknowledgements

Michael T. Schaub and Leonie Neuhäuser acknowledge funding by the Ministry of Culture and Science (MKW) of the German State of North Rhine-Westphalia (“NRW Rückkehrprogramm”).

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Authors and Affiliations

  1. Hertie School, Berlin, Germany

    Leonie Neuhäuser

  2. Mathematical Institute, University of Oxford, Oxford, UK

    Leonie Neuhäuser, Andrew Mellor & Renaud Lambiotte

  3. Department of Engineering Science, University of Oxford, Oxford, UK

    Michael T. Schaub

  4. RWTH Aachen University, Aachen, Germany

    Leonie Neuhäuser & Michael T. Schaub

Authors
  1. Leonie Neuhäuser
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  2. Michael T. Schaub
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  3. Andrew Mellor
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  4. Renaud Lambiotte
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Corresponding author

Correspondence to Leonie Neuhäuser .

Editor information

Editors and Affiliations

  1. CRAN – CO2 Team ENSEM, Vandoeuvre-lès-Nancy, France

    Samson Lasaulce

  2. CNRS Researcher Laboratoire d’Informatique de Grenoble (LIG), Saint-Martin d'Hères, France

    Panayotis Mertikopoulos

  3. Technion – Israel Institute of Technology, Haifa, Israel

    Ariel Orda

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Neuhäuser, L., Schaub, M.T., Mellor, A., Lambiotte, R. (2021). Opinion Dynamics with Multi-body Interactions. In: Lasaulce, S., Mertikopoulos, P., Orda, A. (eds) Network Games, Control and Optimization. NETGCOOP 2021. Communications in Computer and Information Science, vol 1354. Springer, Cham. https://doi.org/10.1007/978-3-030-87473-5_23

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  • DOI: https://doi.org/10.1007/978-3-030-87473-5_23

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  • Publisher Name: Springer, Cham

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  • Online ISBN: 978-3-030-87473-5

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