Evidence map›Paper›PMID 40965693›Full record

ArticleJournal of mathematical biology2025

Mean Field Games and Ideal Free Distribution.

Robert Stephen Cantrell, Chris Cosner, King-Yeung Lam, Idriss Mazari-Fouquer

Abstract read
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In one paragraph

Article in Journal of mathematical biology, 2025. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Not yet cited in PubMed.

0numbers the graph read from it
0cells of the map it votes in
0citing papers in PubMed
–field-weighted citation impact
1 · What the graph read from it

What it found

Each row is one number read from the abstract, on the scale the paper reported it, with its interval. Left of the dashed line favours the treatment, right favours the comparator. Under each row is the sentence it came from. New to these charts? A ten-minute tutorial.

The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.

2 · The registry

The trial behind it

Trials whose registry record cites this paper, or whose number appears in the abstract. A trial that started after this paper was published is citing it as background, not reporting it.

Neither the registry nor the abstract names a trial number. If this is a trial report, that itself is worth knowing.

3 · Its place in the literature

Who cites it

0 citing papers in PubMed.

No citing paper in PubMed yet.

4 · The record

Corrections and comments

PubMed lists nothing against this paper. Absence here is not a guarantee, only a check that was made.

5 · Who and what money

Authors and funding

4 authors.

Robert Stephen CantrellDepartment of Mathematics, University of Miami, 1365 Memorial Drive, Coral Gables, FL, 33146, USA.
Chris CosnerDepartment of Mathematics, University of Miami, 1365 Memorial Drive, Coral Gables, FL, 33146, USA.
King-Yeung LamDepartment of Mathematics, The Ohio State University, 100 Math Tower, 231 W 18th Ave., Columbus, OH, 43210, USA. lam.184@osu.edu.ORCID http://orcid.org/0000-0003-1004-0658
Idriss Mazari-FouquerCEREMADE, Paris Dauphiné Université, Place du Maréchal de Lattre de Tassigny, 75775, PARIS, Cedex 16, France.

Funding

National Science Foundation 2325195
6 · The paper itself

Abstract

The ideal free distribution in ecology was introduced by Fretwell and Lucas to model the habitat selection of animal populations. In this paper, we revisit the concept via a mean field game system with local coupling, which models a dynamic version of the habitat selection game in ecology. We establish the existence of classical solution of the ergodic mean field game system, including the case of heterogeneous diffusion when the underlying domain is one-dimensional and further show that the population density of agents converges to the ideal free distribution of the underlying habitat selection game, as the cost of control tends to zero. Our analysis provides a derivation of ideal free distribution in a dynamical context.

Indexed as

EcosystemGame TheoryModels, BiologicalAnimalsComputer SimulationMathematical ConceptsPopulation DensityPopulation DynamicsBellman equationHamilton-jacobiIdeal free distributionLong-time averageMean field gameReaction-diffusion equations

Identifiers

PMID40965693
PMCPMC12446418

What OpenQuestion holds

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Registered trials

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Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.