Analysis of a continuous opinion and discrete action dynamics model coupled with an external dynamics

[2403.09473] Analysis of a continuous opinion and discrete action dynamics model coupled with an external dynamics Skip to main content Search Submit Donate Log in Mathematics > Optimization and Control arXiv:2403.09473 (math) [Submitted on 14 Mar 2024 ( v1 ), last revised 27 Aug 2026 (this version, v3)] Title: Analysis of a continuous opinion and discrete action dynamics model coupled with an external dynamics Authors: Anthony Couthures , Thomas Mongaillard , Vineeth S. Varma , Samson Lasaulce , Irinel-Constantin Morarescu View PDF HTML (experimental) Abstract: We consider a set of consumers in a city or town (who thus generate pollution) 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 the consumers have access to regarding the common pollution. 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 this http URL examples are provided to illustrate the derived analytical results. Comments: ECC conference 2024 Subjects: Optimization and Control (math.OC) ; Systems and Control (eess.SY); Dynamical Systems (math.DS) Cite as: arXiv:2403.09473 [math.OC] (or arXiv:2403.09473v3 [math.OC] for this version) https://doi.org/10.48550/arXiv.2403.09473 Focus to learn more arXiv-issued DOI via DataCite Related DOI : https://doi.org/10.23919/ECC64448.2024.10591291 Focus to learn more DOI(s) linking to related resources Submission history From: Anthony Couthures [ view email ] [v1] Thu, 14 Mar 2024 15:14:23 UTC (1,562 KB) [v2] Mon, 18 Mar 2024 11:54:45 UTC (1,562 KB) [v3] Thu, 27 Aug 2026 09:48:42 UTC (1,561 KB) Full-text links: Access Paper: View PDF HTML (experimental) TeX Source view license Current browse context: math.OC < prev | next > new | recent | 2024-03 Change to browse by: cs cs.SY eess eess.SY math math.DS References & Citations SciX Google Scholar Semantic Scholar export BibTeX citation Bookmark Bibliographic Tools Bibliographic and Citation Tools Bibliographic Explorer Toggle Bibliographic Explorer ( What is the Explorer? ) Connected Papers Toggle Connected Papers ( What is Connected Papers? ) Litmaps Toggle Litmaps ( What is Litmaps? ) scite.ai Toggle scite Smart Citations ( What are Smart Citations? ) Code, Data, Media Code, Data and Media Associated with this Article alphaXiv Toggle alphaXiv ( What is alphaXiv? ) Links to Code Toggle CatalyzeX Code Finder for Papers ( What is CatalyzeX? ) DagsHub Toggle DagsHub ( What is DagsHub? ) GotitPub Toggle Gotit.pub ( What is GotitPub? ) Huggingface Toggle Hugging Face ( What is Huggingface? ) ScienceCast Toggle ScienceCast ( What is ScienceCast? ) Demos Demos Replicate Toggle Replicate ( What is Replicate? ) Spaces Toggle Hugging Face Spaces ( What is Spaces? ) Spaces Toggle TXYZ.AI ( What is TXYZ.AI? ) Related Papers Recommenders and Search Tools Link to Influence Flower Influence Flower ( What are Influence Flowers? ) Core recommender toggle CORE Recommender ( What is CORE? ) Author Venue Institution Topic About arXivLabs arXivLabs: experimental projects with community collaborators arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website. Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them. Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs . Which authors of this paper are endorsers? | Disable MathJax ( What is MathJax? ) We gratefully acknowledge support from our major funders , member institutions , and all contributors. About · Help · Contact · Subscribe · Copyright · Privacy · Accessibility · Operational Status (opens in new tab)

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