{
  "abstract": "Biological agents, from regulatory modules and microbial strains to organisms and populations, act on a common environment while each responds to its own costs, benefits, and limits. A dynamic game makes such interactions explicit by assigning who controls which decision, what each participant values, and which restrictions constrain unilateral deviations. We present a library of 25 biological dynamic games with 2 to 10 players spanning molecular, cellular, organismal, and population scales and competitive, antagonistic, mutualistic, and regulatory interactions. Instances cover single seasons, cycles that return to their initial state, or episodic tasks; seven include duration choice and some players' feasible sets are coupled. For each game we provide biological motivation, an executable Julia specification with player-owned controls, objectives and restrictions, a parameter instance, and a reference open-loop generalized Nash equilibrium candidate with interpreted trajectories. The solver CorleoneGame.jl computes candidates by sequential optimal-control best responses and audits them for feasibility and profitable unilateral deviations on a coarse and a refined control grid. All 25 reference computations satisfy the audit tolerances on both grids. Using a plant--herbivore game as a running example, we show how an executable specification yields an audited reference candidate that qualitatively reproduces a published prediction, how biological hypotheses become instance variants with different candidates, and how the candidates generate synthetic data for inverse games.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.06307",
  "author_total": 4,
  "authors": [
    {
      "name": "Sebastian Sager"
    },
    {
      "name": "Christoph Plate"
    },
    {
      "name": "Julius Martensen"
    },
    {
      "name": "Frank W. Ohl"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/4ypgqewrckpex.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.06307",
  "fulltext_url": null,
  "id": "4ypgqewrckpex",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.06307",
  "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",
      "math.OC"
    ],
    [
      "openalex",
      "1803|Game Theory and Applications"
    ]
  ],
  "openalex": "W7220681024",
  "pdf_url": "https://arxiv.org/pdf/2610.06307",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-05",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/4ypgqewrckpex.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:10Z",
      "native_id": "2610.06307",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.06307"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.OC",
      "subfield": "optimisation-control"
    }
  ],
  "title": "CorleoneGame: A library of biological dynamic games with a companion Julia solver",
  "title_text": "CorleoneGame: A library of biological dynamic games with a companion Julia solver",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:10Z",
  "url": "https://research.draconitic.com/paper/4ypgqewrckpex",
  "venue": "arXiv",
  "versions": []
}