{
 "@context": "https://schema.org",
 "@type": "Claim",
 "@id": "https://wulfkaal.github.io/positions/2026-08-08-346",
 "identifier": "kaal:position:2026-08-08-346",
 "additionalType": "https://wulfkaal.github.io/positions/schema.json#AffirmedPositionClaim",
 "name": "Anonymous Random Matching Folk Theorem Conditions",
 "text": "Deb, Sugaya, and Wolitzky sharply bound Kaal's use of the anonymous-random-matching Folk Theorem. They prove a Folk Theorem for discounted repeated games with anonymous random matching, allowing nonuniform matching and asymmetric payoffs, but retain full dimensionality as a stage-game condition. Their result supports treating the theorem as a conditional benchmark within that model. It does not provide a general performance floor for an implemented reputation mechanism, predict which equilibrium will occur, or establish any outcome in Kaal's reference system.",
 "author": {
  "@type": "Person",
  "name": "Wulf A. Kaal",
  "identifier": "https://orcid.org/0009-0008-7840-1847"
 },
 "datePublished": "2026-08-08",
 "dateModified": "2026-08-08",
 "creativeWorkStatus": "Affirmed",
 "responseType": "qualification",
 "keywords": [
  "economics",
  "institutional-design",
  "scholarly-growth-coverage",
  "scholarly-literature",
  "game-theory",
  "folk-theorem",
  "repeated-games",
  "anonymous-random-matching"
 ],
 "scope_conditions": [
  "The response is limited to the exact DOI-bound abstract and the one mapped Kaal claim.",
  "External evidence level: peer-reviewed Econometrica article with concordant Crossref, OpenAlex, and Semantic Scholar identity and a complete DOI-bound abstract.",
  "Mapping review tier: independent substantive scholarly-growth qualification.",
  "The source proves a theorem for discounted repeated games with anonymous random matching. It does not study Kaal's reference mechanism or its observed performance.",
  "The abstract retains full dimensionality as a stage-game condition and does not convert equilibrium possibility into a realized performance floor.",
  "The source does not select an equilibrium, measure an implementation, or establish any lower bound for reputation-bearing autonomous agents.",
  "The publisher landing page returned HTTP 403. The response is limited to the complete DOI-bound abstract independently supplied by Crossref, OpenAlex, and Semantic Scholar.",
  "Semantic Scholar's broad discovery search returned HTTP 429. Its exact DOI record returned HTTP 200 and was used only for identity and abstract corroboration."
 ],
 "currentDebate": {
  "name": "The Folk Theorem in Repeated Games With Anonymous Random Matching",
  "url": "https://doi.org/10.3982/ecta16680"
 },
 "extends": {
  "identifier": "kaal:claim:7261481-011",
  "url": "https://wulfkaal.github.io/claims/7261481-011",
  "citation": "Wulf A. Kaal, Computative Economics: A Framework for Economic Analysis under Computational Abundance (2026). SSRN: https://ssrn.com/abstract=7261481",
  "paper": "Wulf A. Kaal, Computative Economics: A Framework for Economic Analysis under Computational Abundance",
  "authors": [
   "Wulf A. Kaal"
  ],
  "year": "2026",
  "ssrn": "https://ssrn.com/abstract=7261481",
  "source_pdf_sha256": "78c42db521624f7398717732a7fa51a6e3157a5adf02a2e09fbab15e0cf920d9"
 },
 "isBasedOn": [
  {
   "@id": "https://wulfkaal.github.io/claims/7261481-011"
  },
  {
   "@type": "CreativeWork",
   "name": "The Folk Theorem in Repeated Games With Anonymous Random Matching",
   "url": "https://doi.org/10.3982/ecta16680"
  }
 ],
 "batch_id": "kaal-review:2026-08-13:scholarly-growth-7261481-011-reviewed-v1",
 "review_provenance": "https://wulfkaal.github.io/positions/by-claim/7261481-011.html",
 "publicationStatus": "public",
 "recordTypeNote": "Dated commentary position extending a scholarly corpus claim. Not a verbatim claim extracted from the paper.",
 "isPartOf": {
  "@id": "https://wulfkaal.github.io/positions/index.json"
 },
 "version": "1.0",
 "canonical_url": "https://wulfkaal.github.io/positions/2026-08-08-346",
 "canonicalForm": "https://wulfkaal.github.io/positions/2026-08-08-346.md",
 "candidateId": "kaal:response-candidate:2026-08-13:scholarly-growth-7261481-011-conditional-folk-theorem-01",
 "evidenceLevel": "peer-reviewed Econometrica article with concordant Crossref, OpenAlex, and Semantic Scholar identity and a complete DOI-bound abstract",
 "reviewTier": "independent substantive scholarly-growth qualification",
 "mappingConfidence": 0.99,
 "mappingAmbiguous": false,
 "mappingMethod": "independent substantive scholarly-growth one-to-one review",
 "mappingWhyRelevant": "The source proves the exact anonymous-random-matching Folk Theorem invoked by Kaal and states its discounted-game and full-dimensionality conditions, supporting the claim's conditional scope without implying a general implementation floor.",
 "sourceProvenance": {
  "source": "Econometrica article identity and abstract independently bound through Crossref, OpenAlex, and Semantic Scholar",
  "sourceRecordId": "doi:10.3982/ecta16680",
  "canonicalUrl": "https://doi.org/10.3982/ecta16680",
  "retrievedAt": "2026-08-13T12:12:29.567Z",
  "crossrefResponseBodySha256": "4e39955640051b4bccd1adcb813f1230bfd25fcda923571be7cbbd03c968a226",
  "openAlexResponseBodySha256": "e8cce15aa06118fa16fc59e96de42b91bd0a519bb435cf20cf1d450eaa313d7d",
  "semanticScholarResponseBodySha256": "12c3f617fbe262c3a5896107eeb5caa6dfc16830fc6a39b41df71e70736ae5a6",
  "publisherLandingAttempt": {
   "httpStatus": 403,
   "responseBodySha256": "5273615657a75177710baf3e4d92b98d4f5231da1820725a12bed211d20fd1b0",
   "publicationDecisionEffect": "response limited to the complete registry-bound abstract"
  },
  "sourceProposition": "Deb, Sugaya, and Wolitzky prove a Folk Theorem for discounted repeated games with anonymous random matching while retaining full dimensionality as a condition on the stage game.",
  "sourcePropositionSha256": "e2e60443c9dca54ff96545a15bfa59f8362e17563470a955e51705b23750414b",
  "sourceEvidenceSetSha256": "872e4b115589b10ed68e47d67a78ec1187fe593fa69ae628e812ba061d3c4eb3",
  "sourceEvidencePassages": [
   {
    "text": "We prove the folk theorem for discounted repeated games with anonymous random matching. We allow non-uniform matching, include asymmetric payoffs, and place no restrictions on the stage game other than full dimensionality. No record-keeping or communication devices—including cheap talk communication and public randomization—are necessary.",
    "locator": {
     "version": "Econometrica article abstract registered by Crossref and independently reconstructed by OpenAlex",
     "section": "Abstract"
    },
    "sha256": "e53c19ac2536f7523608911bc794f9b2b8aee5c34de08770b4a012ff5042fc3a"
   }
  ],
  "workId": "work:doi:10.3982/ecta16680",
  "workAuthors": [
   "Joyee Deb",
   "Takuo Sugaya",
   "Alexander Wolitzky"
  ],
  "workPublishedAt": "2020",
  "identityKeys": [
   "doi:10.3982/ecta16680",
   "s2:fd9edc2192cd35dbe9fab9572be71668c533e3a2",
   "proposition:e2e60443c9dca54ff96545a15bfa59f8362e17563470a955e51705b23750414b"
  ],
  "claimMappings": [
   {
    "claimId": "kaal:claim:7261481-011",
    "claimUrl": "https://wulfkaal.github.io/claims/7261481-011",
    "rank": 1,
    "confidence": 0.99,
    "method": "independent substantive scholarly-growth one-to-one review",
    "whyRelevant": "The source proves the exact anonymous-random-matching Folk Theorem invoked by Kaal and states its discounted-game and full-dimensionality conditions, supporting the claim's conditional scope without implying a general implementation floor.",
    "ambiguous": false
   }
  ],
  "substantiveReview": {
   "reviewedAt": "2026-08-13T12:12:29.567Z",
   "sourceIdentityVerified": true,
   "authorIndependenceVerified": true,
   "canonicalPublicStatusVerified": true,
   "retractionOrSupersessionFound": false,
   "propositionFidelityVerified": true,
   "mechanismCorrespondence": "the exact anonymous-random-matching theorem is tied to discounted repetition and full dimensionality rather than treated as an unconditional outcome floor",
   "compatibleScope": "qualification limited to theorem domain and conditions",
   "responseWordingDefensible": true,
   "oneToOneExtendsMapping": true,
   "sameSourceDistinctionVerified": true,
   "limitations": [
    "The source proves a theorem for discounted repeated games with anonymous random matching. It does not study Kaal's reference mechanism or its observed performance.",
    "The abstract retains full dimensionality as a stage-game condition and does not convert equilibrium possibility into a realized performance floor.",
    "The source does not select an equilibrium, measure an implementation, or establish any lower bound for reputation-bearing autonomous agents.",
    "The publisher landing page returned HTTP 403. The response is limited to the complete DOI-bound abstract independently supplied by Crossref, OpenAlex, and Semantic Scholar.",
    "Semantic Scholar's broad discovery search returned HTTP 429. Its exact DOI record returned HTTP 200 and was used only for identity and abstract corroboration."
   ],
   "exactSupportingQuotesVerified": true
  }
 },
 "userAffirmation": "Automatically authorized under standing authority receipt kaal-standing-publication-authorization:2026-08-01:hourly-reviewed-batches, SHA-256 e2126054b58bb4e88db65c334ef4fc8ae78dcaadc63543c408133c4eefceb9b1, limited to this substantively reviewed scholarly-growth qualification and the protected scholarly claims matching the current bridge checkpoint under the current owner instruction.",
 "sha256": "180140dadac9120b1cc8a407f2ddc1da270eb7c8f0375af5bbd9de272ca34652"
}
