Triple

T11515458
Position Surface form Disambiguated ID Type / Status
Subject Walrasian market-clearing framework E273018 entity
Predicate relatedConcept P37 FINISHED
Object Arrow–Debreu model
The Arrow–Debreu model is a foundational general equilibrium framework in economics that rigorously characterizes how competitive markets can allocate resources efficiently across time and under uncertainty.
 E930668 NE FINISHED

Named-entity recognition

Before disambiguation, gpt-5-mini classified whether the object phrase is a named entity — the step behind the object's NE type shown above.

Instruction
Given a phrase, classify it is english named entity (e.g., persons, organizations, works of art) in Latin script, or not (e.g., literals, dates, URLs, verbose phrases). For disambiguation, the statement where the phrase occurs as object is also given. Please return a JSON object with `phrase` (string, the phrase being analyzed) and `is_ne` (boolean, indicating whether the phrase is a Named Entity).
Input
Phrase: Arrow–Debreu model | Statement: [Walrasian market-clearing framework, relatedConcept, Arrow–Debreu model]

Disambiguation candidates (2 decisions)

The exact options the model was shown at each disambiguation step, with the option it chose highlighted — the evidence behind this triple's disambiguated ids.

NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07 
Target entity: Arrow–Debreu model
Context triple: [Walrasian market-clearing framework, relatedConcept, Arrow–Debreu model]
  • A. Walrasian market-clearing framework
    The Walrasian market-clearing framework is a general equilibrium model in which perfectly competitive markets continuously adjust prices so that supply equals demand in all markets simultaneously.
  • B. The Computation of Economic Equilibria
    "The Computation of Economic Equilibria" is a seminal book in mathematical economics that develops algorithmic and computational methods for finding general equilibrium solutions in economic models.
  • C. Ramsey–Cass–Koopmans model
    The Ramsey–Cass–Koopmans model is a foundational neoclassical growth model in macroeconomics that analyzes optimal savings, consumption, and capital accumulation over time in a perfectly competitive economy.
  • D. Gale–Nikaidō–Debreu theorem
    The Gale–Nikaidō–Debreu theorem is a fundamental result in mathematical economics that provides conditions ensuring the existence (and sometimes uniqueness) of equilibrium in certain nonlinear and general equilibrium models.
  • E. Modigliani–Brumberg model
    The Modigliani–Brumberg model is an economic life-cycle theory explaining how individuals plan consumption and saving over their lifetimes to smooth living standards despite changing income.
  • F. None of above. chosen
  • G. Unsure - the case is ambiguous/there is not enough information to decide.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07 
Target entity: Arrow–Debreu model
Target entity description: The Arrow–Debreu model is a foundational general equilibrium framework in economics that rigorously characterizes how competitive markets can allocate resources efficiently across time and under uncertainty.
  • A. Walrasian market-clearing framework
    The Walrasian market-clearing framework is a general equilibrium model in which perfectly competitive markets continuously adjust prices so that supply equals demand in all markets simultaneously.
  • B. The Computation of Economic Equilibria
    "The Computation of Economic Equilibria" is a seminal book in mathematical economics that develops algorithmic and computational methods for finding general equilibrium solutions in economic models.
  • C. Ramsey–Cass–Koopmans model
    The Ramsey–Cass–Koopmans model is a foundational neoclassical growth model in macroeconomics that analyzes optimal savings, consumption, and capital accumulation over time in a perfectly competitive economy.
  • D. Gale–Nikaidō–Debreu theorem
    The Gale–Nikaidō–Debreu theorem is a fundamental result in mathematical economics that provides conditions ensuring the existence (and sometimes uniqueness) of equilibrium in certain nonlinear and general equilibrium models.
  • E. Modigliani–Brumberg model
    The Modigliani–Brumberg model is an economic life-cycle theory explaining how individuals plan consumption and saving over their lifetimes to smooth living standards despite changing income.
  • F. None of above. chosen

How the object was described

The object's one-sentence description was generated by prompting gpt-5.1 with the object name and this triple as context.

Instruction
Generate a one-sentence description of the target entity. 
You are given a context triple in the form (subject, predicate, object), where the object is the target entity. 
# Instructions
Use the triple to infer relevant information about the entity. Describe the entity based on what is most defining, well-known. 
Avoid repeating the information from the triple, unless really essential.
# Response Format
Return only the sentence: "Description: [one-sentence description of the target entity]"
Input
Entity: Arrow–Debreu model
Triple: [Walrasian market-clearing framework, relatedConcept, Arrow–Debreu model]
Generated description
The Arrow–Debreu model is a foundational general equilibrium framework in economics that rigorously characterizes how competitive markets can allocate resources efficiently across time and under uncertainty.

Provenance (5 batches)

Stage Batch ID Job type Status
creating batch_69d6aae2c3748190bed2ea50dfb160dc elicitation completed
NER batch_69d86db8bf9c8190820c289e6b0c3873 ner completed
NED1 batch_69e625143a608190a1119b30c08df0fd ned_source_triple completed
NED2 batch_69e674c3a98c8190b32dc6879cb3a5f9 ned_description completed
NEDg batch_69e62cf44018819094818f11ac653763 nedg completed
Created at: April 8, 2026, 9:36 p.m.