{
  "abstract": "We propose a Multi-technology AdopTion-opinion co-Evolution (MATE) model to describe the diffusion of $m \\geq 2$ competing alternatives within a networked population whose opinions evolve under social influence and the feedback generated by adoption. Communities interact through two layers: a physical network governing exposure to adoption, and a social network shaping opinion evolution through social imitation. Individuals can adopt a technology, eventually becoming dissatisfied at a rate reflecting the quality of the technology, and switch to an alternative at a rate driven by their opinion of that alternative. For an arbitrary number of competing technologies $m \\geq 2$, we characterize the equilibria and establish the existence of an adoption-diffused equilibrium in which all technologies coexist. For $m > 2$, the equilibrium configuration depends on the broader competitive environment: unlike the two-technology case, within-community relative adoption generally depends also on equilibrium opinions and on the other alternatives. Finally, we formulate finite-horizon opinion-shaping control problems, derive necessary optimality conditions via the discrete-time Pontryagin maximum principle, and compute numerical extremals using a forward-backward sweep method.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.04407",
  "author_total": 5,
  "authors": [
    {
      "name": "Martina Alutto"
    },
    {
      "name": "Fabrizio Dabbene"
    },
    {
      "name": "Angela Fontan"
    },
    {
      "name": "Karl H. Johansson"
    },
    {
      "name": "Chiara Ravazzi"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/84yjh1713vrrn.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.04407",
  "fulltext_url": null,
  "id": "84yjh1713vrrn",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.04407",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cs.SY"
    ],
    [
      "arxiv",
      "eess.SY"
    ],
    [
      "arxiv",
      "math.OC"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.04407",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-03",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/84yjh1713vrrn.ris",
  "sources": [
    {
      "first_seen": "2026-11-04T15:21:29Z",
      "native_id": "2611.04407",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.04407"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.OC",
      "subfield": "optimisation-control"
    }
  ],
  "title": "Competition, Switching, and Control in Coupled Adoption-Opinion Dynamics",
  "title_text": "Competition, Switching, and Control in Coupled Adoption-Opinion Dynamics",
  "type": "preprint",
  "updated_at": "2026-11-06T18:21:01Z",
  "url": "https://research.draconitic.com/paper/84yjh1713vrrn",
  "venue": "arXiv",
  "versions": []
}