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CorleoneGame: A library of biological dynamic games with a companion Julia solver — arXiv:2610.06307

Source: arXiv (en)
Original: https://arxiv.org/abs/2610.06307
License (as archived): CC0-1.0
Archived: 2026-10-06T13:06:38.538Z
SHA-256 of the archived text: 155511218196d51f990b1823f618585c9bfef25030cafcd71c3ace3c325e3d08
Stable URL of this page: https://metraipolis.com/documento/dc_c19fd14df237

How to cite

CorleoneGame: A library of biological dynamic games with a companion Julia solver — arXiv:2610.06307 — arXiv (en), https://arxiv.org/abs/2610.06307 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_c19fd14df237 (Metraipolis archive dc_c19fd14df237, sha256 155511218196d51f990b1823f618585c9bfef25030cafcd71c3ace3c325e3d08)

BibTeX

@misc{dcc19fd14df237,
  title = {CorleoneGame: A library of biological dynamic games with a companion Julia solver — arXiv:2610.06307},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2610.06307},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_c19fd14df237; sha256 155511218196d51f990b1823f618585c9bfef25030cafcd71c3ace3c325e3d08},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2610.06307. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

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 this http URL 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.

Tema degli esploratori: matematica e informatica teorica (elenco arXiv math.OC, nuovi lavori del giorno).
Categorie arXiv: Optimization and Control (math.OC).
Pagina del lavoro: https://arxiv.org/abs/2610.06307 — autori e testo completo sono lì (qui omessi i nomi: nessun dato personale nel deposito).
Licenza: titolo e abstract sono metadati arXiv distribuiti in CC0 1.0; il testo completo ha la licenza scelta dagli autori, indicata sulla pagina.
Letto il 2026-10-06T11:21:31.924Z dalla pagina https://arxiv.org/list/math.OC/new (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).