Triple

T9070910
Position Surface form Disambiguated ID Type / Status
Subject Herbert Scarf E217362 entity
Predicate notableWork P4 FINISHED
Object 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.
E776132 NE FINISHED

How this triple was built (4 steps)

Every LLM step that produced this triple, in pipeline order — named-entity classification, the disambiguation choices (the exact options shown, with the pick highlighted), and the generated description. The batch + timestamp of each is in the Provenance table below.

NER Named-entity recognition gpt-5-mini
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: The Computation of Economic Equilibria | Statement: [Herbert Scarf, notableWork, The Computation of Economic Equilibria]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: The Computation of Economic Equilibria
Context triple: [Herbert Scarf, notableWork, The Computation of Economic Equilibria]
  • 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. 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.
  • C. On Equilibrium
    On Equilibrium is a philosophical work by John Ralston Saul that explores the importance of balancing key human qualities—such as reason, ethics, and common sense—to create a more humane and democratic society.
  • D. Nash bargaining solution
    The Nash bargaining solution is a foundational concept in game theory that defines a fair and efficient outcome for two-party bargaining problems based on axioms of rationality and symmetry.
  • E. Foundations of Economic Analysis
    Foundations of Economic Analysis is a landmark 1947 economics book by Paul Samuelson that applied rigorous mathematical methods to unify and formalize microeconomic and macroeconomic theory.
  • F. None of above. chosen
  • G. Unsure - the case is ambiguous/there is not enough information to decide.
NEDg Description generation gpt-5.1
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: The Computation of Economic Equilibria
Triple: [Herbert Scarf, notableWork, The Computation of Economic Equilibria]
Generated description
"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.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: The Computation of Economic Equilibria
Target entity description: "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.
  • 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. 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.
  • C. On Equilibrium
    On Equilibrium is a philosophical work by John Ralston Saul that explores the importance of balancing key human qualities—such as reason, ethics, and common sense—to create a more humane and democratic society.
  • D. Nash bargaining solution
    The Nash bargaining solution is a foundational concept in game theory that defines a fair and efficient outcome for two-party bargaining problems based on axioms of rationality and symmetry.
  • E. Foundations of Economic Analysis
    Foundations of Economic Analysis is a landmark 1947 economics book by Paul Samuelson that applied rigorous mathematical methods to unify and formalize microeconomic and macroeconomic theory.
  • F. None of above. chosen

Provenance (5 batches)

The batch behind each pipeline step, in order, with when it ran. Timestamps are batch-level — stages were processed in waves, so the object chain (NER → NED1 → NEDg → NED2) reads in order, but predicate / elicitation batches can sit in a different wave.

Step Stage Batch ID Status When
creating Elicitation batch_69ca83d5a7f48190b16c1e59bd43ede0 completed March 30, 2026, 2:08 p.m.
NER Named-entity recognition batch_69cc955ec5c0819089bb42448edf391e completed April 1, 2026, 3:47 a.m.
NED1 Entity disambiguation (via context triple) batch_69cffde470388190ae88a96654404410 completed April 3, 2026, 5:50 p.m.
NEDg Description generation batch_69d000d2c5688190b014ce33c04ff875 completed April 3, 2026, 6:02 p.m.
NED2 Entity disambiguation (via description) batch_69d001a1056c819083793547dbd4b1ee completed April 3, 2026, 6:06 p.m.
Created at: March 30, 2026, 7:12 p.m.