{
  "abstract": "We study the problem of estimating the global treatment effect in randomized experiments under interference, where a unit's outcome may depend on the treatment assignments of other units. We adopt a minimax framework, allowing an adversary to select an outcome function from a class of functions that satisfy bounded outcomes and bounded interference. We derive minimax-optimal static estimators that are robust to a wide range of interference structures, parameterized by a scalar $δ$ controlling the maximum influence of one unit's treatment on another's outcome. Under large interference, we observe two regimes. When the treatment and control groups are equally sized, the minimax-optimal static estimator is the zero estimator. When one of the two groups is larger, the minimax-optimal static estimator is a \"half-zero\" estimator, in which the outcomes of the smaller group are ignored, and the estimator only considers the outcomes of the larger group.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.02048",
  "author_total": 2,
  "authors": [
    {
      "name": "Arthur Delarue"
    },
    {
      "name": "Ilan Lobel"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/27926p7tfyx2e.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.02048",
  "fulltext_url": null,
  "id": "27926p7tfyx2e",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.02048",
  "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",
      "econ.EM"
    ],
    [
      "arxiv",
      "math.OC"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.02048",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/27926p7tfyx2e.ris",
  "sources": [
    {
      "first_seen": "2026-11-03T12:21:10Z",
      "native_id": "2611.02048",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.02048"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.OC",
      "subfield": "optimisation-control"
    }
  ],
  "title": "Minimax-Optimal Static Estimators Under Interference",
  "title_text": "Minimax-Optimal Static Estimators Under Interference",
  "type": "preprint",
  "updated_at": "2026-11-05T15:20:22Z",
  "url": "https://research.draconitic.com/paper/27926p7tfyx2e",
  "venue": "arXiv",
  "versions": []
}