{
  "abstract": "We consider the distribution-constrained optimal stopping problem introduced by Bayraktar and Miller (Mathematical Finance, 2019) and Beiglbock et al. (PTRF, 2018). Motivated by the multi-marginal Skorokhod embedding problem (SEP) and applications in financial mathematics, we generalize the Root-type solution to the multi-marginal case. The key difficulty is that the associated stopping barriers need not be ordered, so the problem in general cannot be reduced to a sequence of one-marginal problems. First, we give a probabilistic characterization in terms of sequential optimal stopping for an auxiliary time-reversed process, in the same spirit as Cox et al. (PTRF, 2019). Then, we prove the optimality of this construction by martingale arguments for a general class of reward functions, including multi-marginal versions of all examples in Beiglbock et al. (PTRF, 2018) as special cases.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.27374",
  "author_total": 2,
  "authors": [
    {
      "name": "Shuoqing Deng"
    },
    {
      "name": "Daxin Huang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/d7cd6mhfacjz3.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.27374",
  "fulltext_url": null,
  "id": "d7cd6mhfacjz3",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.27374",
  "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",
      "math.PR"
    ],
    [
      "arxiv",
      "q-fin.MF"
    ],
    [
      "openalex",
      "2003|Stochastic processes and financial applications"
    ]
  ],
  "openalex": "W7204671271",
  "pdf_url": "https://arxiv.org/pdf/2608.27374",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-03",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/d7cd6mhfacjz3.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:36Z",
      "native_id": "2608.27374",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.27374"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.PR",
      "subfield": "probability"
    }
  ],
  "title": "Distribution-constrained optimal multiple stopping: the Root-type solution",
  "title_text": "Distribution-constrained optimal multiple stopping: the Root-type solution",
  "type": "preprint",
  "updated_at": "2026-10-30T12:18:36Z",
  "url": "https://research.draconitic.com/paper/d7cd6mhfacjz3",
  "venue": "arXiv",
  "versions": []
}