{
  "abstract": "We extend a finite-state Mean Field Game model of dynamic ticket pricing to allow overselling, stochastic cancellations, and terminal penalties for unresolved negative inventory. Cancellations generate upward inventory transitions, producing a bidirectional inventory process coupled with firms' pricing decisions. We formulate the representative-firm control problem and the population consistency conditions, and prove existence of a selected Markovian mean field equilibrium under the stated assumptions, including a compact price set and an explicit tie-breaking rule. Numerical experiments show that the quadratic terminal penalty can generate an endogenous soft-boundary mechanism that discourages progressively deeper overselling. Under a low-cancellation stress case, linear penalties more strongly reduce the prevalence of terminal overselling, whereas quadratic penalties reduce its conditional depth and lower-tail severity. A time-varying cancellation experiment suggests that anticipated future inventory recovery can support lower early prices and greater temporary overbooking exposure. Under the adopted demand normalization, stronger mean-field coupling is associated with lower equilibrium prices and slower inventory depletion. Together, these results provide a tractable framework for analyzing pricing and overbooking incentives in competitive ticket markets with cancellations.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.02402",
  "author_total": 2,
  "authors": [
    {
      "name": "Yuzhou Chen"
    },
    {
      "name": "Yumiharu Nakano"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/65dfbv47v4k0z.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.02402",
  "fulltext_url": null,
  "id": "65dfbv47v4k0z",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.02402",
  "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.OC"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.02402",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-02",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/65dfbv47v4k0z.ris",
  "sources": [
    {
      "first_seen": "2026-11-03T12:21:10Z",
      "native_id": "2611.02402",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.02402"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.OC",
      "subfield": "optimisation-control"
    }
  ],
  "title": "Mean Field Games in Dynamic Ticket Pricing with Overselling and Cancellations",
  "title_text": "Mean Field Games in Dynamic Ticket Pricing with Overselling and Cancellations",
  "type": "preprint",
  "updated_at": "2026-11-05T15:20:22Z",
  "url": "https://research.draconitic.com/paper/65dfbv47v4k0z",
  "venue": "arXiv",
  "versions": []
}