{
 "@context": "https://schema.org",
 "@type": "DefinedTerm",
 "@id": "https://wulfkaal.github.io/entities/uniqueness",
 "identifier": "kaal:entity:uniqueness",
 "name": "Uniqueness",
 "termCode": "uniqueness",
 "inDefinedTermSet": {
  "@id": "https://wulfkaal.github.io/entities/index.json"
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 "author": {
  "@type": "Person",
  "name": "Wulf A. Kaal",
  "identifier": "https://orcid.org/0000-0003-0757-275X"
 },
 "dateModified": "2026-07-29",
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   "value": 3
  },
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   "value": 2
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   "value": [
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    "2026"
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 "subjectOf": [
  {
   "@type": "Claim",
   "@id": "https://wulfkaal.github.io/claims/6192998-027",
   "identifier": "kaal:claim:6192998-027",
   "text": "Constraining the citation weight parameter below one and enforcing row stochasticity through normalization guarantees that the citation weighted value vector exists, is unique, and converges, which resolves the instability of the original recursive valuation formula.",
   "abstract": "This theorem addresses the instability concern with the recursive formula in Calcaterra, Kaal, and Andrei (2018, 41). By constraining and ensuring row-stochasticity through normalization, we guarantee convergence, a crucial property for autonomous operation.",
   "citation": "Wulf A. Kaal, Evolution of Domain-Specific Reputation Systems From Binary Validation to Citation-Weighted Knowledge Attribution (2026). SSRN: https://ssrn.com/abstract=6192998",
   "datePublished": "2026",
   "claim_type": "condition",
   "confidence": "evidenced",
   "is_failure_mode": false,
   "scope_conditions": [
    "citation weight parameter strictly less than one",
    "contribution matrix normalized to be row stochastic"
   ],
   "source_pdf_sha256": "b04292561ee041e0c9eaa7eca28a410ed440e76a95743a539361a3f76c97f2b3",
   "status": "current"
  },
  {
   "@type": "Claim",
   "@id": "https://wulfkaal.github.io/claims/6607458-023",
   "identifier": "kaal:claim:6607458-023",
   "text": "Proposition 2: if the composite best-response map is a contraction under an appropriate metric, the recursive equilibrium is unique and iteration of the map from any starting point converges to it, by the Banach fixed-point theorem.",
   "abstract": "Suppose the composite best-response map Ψ is a contraction on the product space of generation functions and domain models under an appropriate metric. Then there exists a unique recursive equilibrium, and the sequence (G_t, M_t) generated by repeated application of Ψ from any starting point",
   "citation": "Wulf A. Kaal, Computative Economics A Framework for Economic Analysis under Computational Abundance (2026). SSRN: https://ssrn.com/abstract=6607458",
   "datePublished": "2026",
   "claim_type": "condition",
   "confidence": "argued",
   "is_failure_mode": false,
   "scope_conditions": [
    "requires the composite best-response map to be a contraction under an appropriate metric"
   ],
   "source_pdf_sha256": "75cca35350378eb8904866d068b5d2f3e1504629e6031457ce6c12152a88e3e8",
   "status": "current"
  },
  {
   "@type": "Claim",
   "@id": "https://wulfkaal.github.io/claims/6607458-024",
   "identifier": "kaal:claim:6607458-024",
   "text": "Where the contraction condition holds, the computative framework delivers a stronger equilibrium result than the Arrow-Debreu theorem, which asserts existence but yields neither uniqueness without added monotonicity assumptions nor a constructive convergent procedure.",
   "abstract": "Where the condition holds, Computative Economics delivers a stronger equilibrium result than the Arrow-Debreu existence theorem: the latter asserts existence but does not deliver uniqueness without additional monotonicity assumptions and does not deliver a constructive convergent procedure.",
   "citation": "Wulf A. Kaal, Computative Economics A Framework for Economic Analysis under Computational Abundance (2026). SSRN: https://ssrn.com/abstract=6607458",
   "datePublished": "2026",
   "claim_type": "mechanism",
   "confidence": "argued",
   "is_failure_mode": false,
   "scope_conditions": [
    "holds only where the contraction condition is satisfied"
   ],
   "source_pdf_sha256": "75cca35350378eb8904866d068b5d2f3e1504629e6031457ce6c12152a88e3e8",
   "status": "current"
  }
 ],
 "description": "3 claims in the published works of Wulf A. Kaal carry the concept tag 'uniqueness'. Derived node: a roster, not an adjudicated definition."
}