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 "@type": "DefinedTerm",
 "@id": "https://wulfkaal.github.io/entities/ac2",
 "identifier": "kaal:entity:ac2",
 "name": "Ac2",
 "termCode": "ac2",
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 "author": {
  "@type": "Person",
  "name": "Wulf A. Kaal",
  "identifier": "https://orcid.org/0000-0003-0757-275X"
 },
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 "subjectOf": [
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   "@type": "Claim",
   "@id": "https://wulfkaal.github.io/claims/6655138-027",
   "identifier": "kaal:claim:6655138-027",
   "text": "Reputation update functions on each surface must be continuous in the validation pool's resolution outcome, because discontinuities in reputation update destroy continuity of best-response correspondences and preclude application of Brouwer's fixed-point theorem.",
   "abstract": "The reputation update functions on each surface are continuous in the validation pool's resolution outcome. Discontinuities in reputation update destroy continuity of best-response correspondences and preclude application of Brouwer.",
   "citation": "Wulf A. Kaal, Possibility Loops An Operational Architecture for Computative Economics in Agent Coordination Systems (2026). SSRN: https://ssrn.com/abstract=6655138",
   "datePublished": "2026",
   "claim_type": "condition",
   "confidence": "argued",
   "is_failure_mode": true,
   "scope_conditions": [
    "architectures relying on Brouwer for equilibrium existence"
   ],
   "source_pdf_sha256": "52cb210167f06f0c7a2581214b156326216543de80b8394320b629c045c9e214",
   "status": "current"
  },
  {
   "@type": "Claim",
   "@id": "https://wulfkaal.github.io/claims/6655138-034",
   "identifier": "kaal:claim:6655138-034",
   "text": "Collapsing two distinct generative components into a single loop forces aggregation of distinct quality signals into one reputation scalar, which violates the continuity condition because the aggregate function is not Lipschitz in components whose resolution outcomes have different scales.",
   "abstract": "Collapsing two distinct generative components into a single loop forces aggregation of distinct quality signals into a single reputation scalar, which violates the continuity condition AC2 because the aggregate function is not Lipschitz in the underlying components",
   "citation": "Wulf A. Kaal, Possibility Loops An Operational Architecture for Computative Economics in Agent Coordination Systems (2026). SSRN: https://ssrn.com/abstract=6655138",
   "datePublished": "2026",
   "claim_type": "failure",
   "confidence": "argued",
   "is_failure_mode": true,
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    "components whose resolution outcomes differ in scale"
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   "source_pdf_sha256": "52cb210167f06f0c7a2581214b156326216543de80b8394320b629c045c9e214",
   "status": "current"
  }
 ],
 "description": "2 claims in the published works of Wulf A. Kaal carry the concept tag 'ac2'. Derived node: a roster, not an adjudicated definition."
}