{
  "abstract": "We analyze the asymptotic behavior of several mean field games of controls. First, in the time-dependent case, we examine the behavior of solutions to discounted mean field games of controls as the discount factor $λ$ tends to infinity. Next, we study three stationary models of mean field games of controls, finding that solutions to the first-order discounted problem and the second-order ergodic problem can be obtained from solutions to the second-order discounted problem by taking $ν\\to 0$ and $λ\\to 0$, respectively. Finally, we investigate the long-time average behavior of solutions to the time-dependent system with no discount, finding that solutions converge to the solution to the second-order ergodic problem as $T \\to \\infty$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.00490",
  "author_total": 3,
  "authors": [
    {
      "name": "Jameson Graber"
    },
    {
      "name": "Elizabeth Matter"
    },
    {
      "name": "Kyle Rosengartner"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/0fmzdfvq4th0j.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.00490",
  "fulltext_url": null,
  "id": "0fmzdfvq4th0j",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.00490",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.AP"
    ],
    [
      "arxiv",
      "math.OC"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.00490",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/0fmzdfvq4th0j.ris",
  "sources": [
    {
      "first_seen": "2026-11-03T12:21:10Z",
      "native_id": "2611.00490",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.00490"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.OC",
      "subfield": "optimisation-control"
    }
  ],
  "title": "Some Remarks on the Asymptotic Behavior of Mean Field Games of Controls",
  "title_text": "Some Remarks on the Asymptotic Behavior of Mean Field Games of Controls",
  "type": "preprint",
  "updated_at": "2026-11-05T15:20:22Z",
  "url": "https://research.draconitic.com/paper/0fmzdfvq4th0j",
  "venue": "arXiv",
  "versions": []
}