Analysis of a Continuous Opinion and Discrete Action Model Coupled with an External Dynamics

2024 European Control Conference (ECC)

Authors

Anthony Couthures

Thomas Mongaillard

Vineeth Satheeskumar Varma

Samson Lasaulce

Irinel-Constantin Morărescu

Published

June 2024

Abstract
We consider a set of consumers in a city or town whose opinion is governed by a continuous opinion and discrete action (CODA) dynamics model. This dynamics is coupled with an observation signal dynamics, which defines the information on the common pollution that the consumers can access. We show that the external observation signal has a significant impact on the asymptotic behavior of the CODA model. When the coupling is strong, it induces either a chaotic behavior or convergence towards a limit cycle. When the coupling is weak, a more classical behavior characterized by local agreements in polarized clusters is observed. In both cases, conditions under which clusters of consumers don’t change their actions are provided. Numerical examples are provided to illustrate the derived analytical results.

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BibTeX citation:
@inproceedings{couthures2024,
  author = {Couthures, Anthony and Mongaillard, Thomas and Satheeskumar
    Varma, Vineeth and Lasaulce, Samson and Morărescu,
    Irinel-Constantin},
  title = {Analysis of a {Continuous} {Opinion} and {Discrete} {Action}
    {Model} {Coupled} with an {External} {Dynamics}},
  booktitle = {2024 European Control Conference (ECC)},
  pages = {3392-3397},
  date = {2024-06},
  url = {https://anthonycouthures.github.io/publications/2024_ecc_continuous-opinion-discrete-action.html},
  doi = {10.23919/ECC64448.2024.10591291},
  langid = {en},
  abstract = {We consider a set of consumers in a city or town whose
    opinion is governed by a continuous opinion and discrete action
    (CODA) dynamics model. This dynamics is coupled with an observation
    signal dynamics, which defines the information on the common
    pollution that the consumers can access. We show that the external
    observation signal has a significant impact on the asymptotic
    behavior of the CODA model. When the coupling is strong, it induces
    either a chaotic behavior or convergence towards a limit cycle. When
    the coupling is weak, a more classical behavior characterized by
    local agreements in polarized clusters is observed. In both cases,
    conditions under which clusters of consumers don’t change their
    actions are provided. Numerical examples are provided to illustrate
    the derived analytical results.}
}
For attribution, please cite this work as:
Anthony Couthures, Thomas Mongaillard, Vineeth Satheeskumar Varma, Samson Lasaulce, and Irinel-Constantin Morărescu. 2024. “Analysis of a Continuous Opinion and Discrete Action Model Coupled with an External Dynamics.” 2024 European Control Conference (ECC), 3392–3397. https://doi.org/10.23919/ECC64448.2024.10591291.