Triple

T15741817
Position Surface form Disambiguated ID Type / Status
Subject Ramsey–Cass–Koopmans model E381618 entity
Predicate typicalProductionSpecification P2475 FINISHED
Object Cobb–Douglas production function
The Cobb–Douglas production function is a widely used economic model that represents output as a multiplicative function of inputs like capital and labor, each raised to constant elasticities that capture their relative contributions to production.
 E1173845 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: Cobb–Douglas production function | Statement: [Ramsey–Cass–Koopmans model, typicalProductionSpecification, Cobb–Douglas production function]

Disambiguation candidates (3 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: Cobb–Douglas production function
Context triple: [Ramsey–Cass–Koopmans model, typicalProductionSpecification, Cobb–Douglas production function]
  • A. Leontief production function
    The Leontief production function is an economic model of production that assumes fixed input proportions with no substitutability between factors, often used in input–output analysis.
  • B. Harrod–Domar growth model
    The Harrod–Domar growth model is an early Keynesian economic framework that explains long-run economic growth in terms of savings rates and capital-output ratios, highlighting inherent instability in growth paths.
  • C. Kaldor–Verdoorn law
    The Kaldor–Verdoorn law is an economic principle that posits a positive relationship between the growth of output and the growth of labor productivity, often used to explain cumulative and self-reinforcing processes in industrial growth.
  • D. Solow growth model
    The Solow growth model is a foundational economic framework that explains long-run economic growth through capital accumulation, labor or population growth, and exogenous technological progress.
  • E. 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.
  • 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: Cobb–Douglas production function
Target entity description: The Cobb–Douglas production function is a widely used economic model that represents output as a multiplicative function of inputs like capital and labor, each raised to constant elasticities that capture their relative contributions to production.
  • A. Leontief production function
    The Leontief production function is an economic model of production that assumes fixed input proportions with no substitutability between factors, often used in input–output analysis.
  • B. Harrod–Domar growth model
    The Harrod–Domar growth model is an early Keynesian economic framework that explains long-run economic growth in terms of savings rates and capital-output ratios, highlighting inherent instability in growth paths.
  • C. Kaldor–Verdoorn law
    The Kaldor–Verdoorn law is an economic principle that posits a positive relationship between the growth of output and the growth of labor productivity, often used to explain cumulative and self-reinforcing processes in industrial growth.
  • D. Solow growth model
    The Solow growth model is a foundational economic framework that explains long-run economic growth through capital accumulation, labor or population growth, and exogenous technological progress.
  • E. 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.
  • F. None of above. chosen
PD Predicate disambiguation gpt-5-mini-2025-08-07 
Target predicate: typicalProductionSpecification
Context triple: [Ramsey–Cass–Koopmans model, typicalProductionSpecification, Cobb–Douglas production function]
  • A. typicalProductionType chosen
    Indicates the usual or characteristic type of production activity associated with an entity.
  • B. componentTypeProduced
    Indicates that one entity produces or manufactures a specific type of component as an output of its activity or process.
  • C. eligibleProductionType
    Indicates that a given entity qualifies for or is allowed to participate in a specified type or category of production.
  • D. hasProductionStandard
    Indicates that something is governed, defined, or evaluated according to a specific production standard.
  • E. partOfProduction
    Indicates that one entity functions as a component, segment, or phase within the overall process or structure of another production.
  • F. None of above.

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: Cobb–Douglas production function
Triple: [Ramsey–Cass–Koopmans model, typicalProductionSpecification, Cobb–Douglas production function]
Generated description
The Cobb–Douglas production function is a widely used economic model that represents output as a multiplicative function of inputs like capital and labor, each raised to constant elasticities that capture their relative contributions to production.

Provenance (6 batches)

Stage Batch ID Job type Status
creating batch_69d86d9cdb648190bf3171be0bd7d872 elicitation completed
NER batch_69e0b4d6b5788190883746ee82c799f5 ner completed
NED1 batch_69ff83056aa0819098b757ed125e61fe ned_source_triple completed
NED2 batch_69ff8469354c819080b8cfddb7c66be5 ned_description completed
NEDg batch_69ff83ca33d08190816130bf2ea735df nedg completed
PD batch_69e0052c6208819098165d61d378d13b pd completed
Created at: April 10, 2026, 4:46 a.m.