{
  "annotation_id": "cc68eda5-1d72-4898-a2c1-c465dd578721",
  "date_created": "2026-02-17T05:53:11.688000Z",
  "date_modified": "2026-02-17T05:53:11.688000Z",
  "file_hash": "c308c8535eab97d6e2a7913de0bc13b49c0928df1f4db607e30a161fa089400d",
  "private": false,
  "record": {
    "abstract": "We investigate convergence and turnpike properties for linear-quadratic mean field control problems with common noise. Within a unified framework, we analyze a finite-horizon social optimization problem, its mean field control limit, and the corresponding ergodic mean field control problem. The finite-horizon problems are characterized by coupled Riccati differential equations, whereas the ergodic problem is addressed via a Bellman equation on the Wasserstein space, which reduces to a system of stabilizing algebraic Riccati equations. By deriving estimates for these Riccati systems, we establish a turnpike property for the finite-horizon mean field control problem and obtain quantitative convergence results from the social optimization problem to its mean field limit and the associated ergodic control problem.",
    "arxiv_id": "2601.07815",
    "authors": [
      "Erhan Bayraktar",
      "Jiamin Jian"
    ],
    "categories": [
      "math.OC"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "title": "Convergence and turnpike properties of linear-quadratic mean field control problems with common noise",
    "url": "https://arxiv.org/abs/2601.07815",
    "version": "v1"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "2d04ef38-e19b-4537-91b1-20eea15b1a47",
    "id": "arXiv Dataset",
    "type": "Model",
    "variant": "snapshot-2026-01-17",
    "version": "0.1.0"
  },
  "user_id": 1000002
}