{
  "abstract": "Token systems support repeated service exchange without monetary transfers, but their viability depends on the stability of token balances. We study token systems with compatibility constraints among agents. A requester is randomly sampled in each period, and only a few randomly sampled agents are available to provide service. We establish a necessary and sufficient condition for stability and show that the minimum-token rule, which selects the available provider with the lowest token balance, achieves the optimal stability region. We then apply this stability criterion to a random token system generated from stochastic block models with uniformly sampled requesters. We tightly characterize the stability regime by identifying two obstructions to stability: insufficient service opportunities for a group of communities or for an individual agent.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.36744",
  "author_total": 3,
  "authors": [
    {
      "name": "Flore Sentenac"
    },
    {
      "name": "Mingwei Yang"
    },
    {
      "name": "Sophie H. Yu"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/chwcg07422w9c.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.36744",
  "fulltext_url": null,
  "id": "chwcg07422w9c",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.36744",
  "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",
      "cs.GT"
    ],
    [
      "arxiv",
      "math.PR"
    ],
    [
      "openalex",
      "3109|Complex Network Analysis Techniques"
    ]
  ],
  "openalex": "W7224105245",
  "pdf_url": "https://arxiv.org/pdf/2610.36744",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-27",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/chwcg07422w9c.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:53Z",
      "native_id": "2610.36744",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.36744"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.PR",
      "subfield": "probability"
    }
  ],
  "title": "When do token systems stabilize? Compatibility constraints and community structure",
  "title_text": "When do token systems stabilize? Compatibility constraints and community structure",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:53Z",
  "url": "https://research.draconitic.com/paper/chwcg07422w9c",
  "venue": "arXiv",
  "versions": []
}