Triple

T4329678
Position Surface form Disambiguated ID Type / Status
Subject Coase theorem E96716 entity
Predicate relatedTo P37 FINISHED
Object First Welfare Theorem
The First Welfare Theorem is a fundamental result in economics stating that, under certain ideal conditions, competitive market equilibria are Pareto efficient.
E431737 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: First Welfare Theorem | Statement: [Coase theorem, relatedTo, First Welfare Theorem]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: First Welfare Theorem
Context triple: [Coase theorem, relatedTo, First Welfare Theorem]
  • A. Pareto efficiency
    Pareto efficiency is an economic concept describing an allocation of resources where no individual can be made better off without making someone else worse off.
  • B. 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.
  • C. Coase theorem
    The Coase theorem is an economic theory stating that if property rights are well-defined and transaction costs are negligible, private bargaining will lead to an efficient allocation of resources regardless of the initial assignment of rights.
  • D. The Economics of Welfare
    The Economics of Welfare is a foundational 1920 economics treatise by Arthur Cecil Pigou that systematically develops welfare economics and the concept of externalities to analyze the role of government in correcting market failures.
  • E. Hicks–Kaldor compensation criterion
    The Hicks–Kaldor compensation criterion is an economic efficiency test stating that a policy change is desirable if those who gain could in principle compensate those who lose and still be better off, regardless of whether compensation actually occurs.
  • 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: First Welfare Theorem
Triple: [Coase theorem, relatedTo, First Welfare Theorem]
Generated description
The First Welfare Theorem is a fundamental result in economics stating that, under certain ideal conditions, competitive market equilibria are Pareto efficient.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: First Welfare Theorem
Target entity description: The First Welfare Theorem is a fundamental result in economics stating that, under certain ideal conditions, competitive market equilibria are Pareto efficient.
  • A. Pareto efficiency
    Pareto efficiency is an economic concept describing an allocation of resources where no individual can be made better off without making someone else worse off.
  • B. 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.
  • C. Coase theorem
    The Coase theorem is an economic theory stating that if property rights are well-defined and transaction costs are negligible, private bargaining will lead to an efficient allocation of resources regardless of the initial assignment of rights.
  • D. The Economics of Welfare
    The Economics of Welfare is a foundational 1920 economics treatise by Arthur Cecil Pigou that systematically develops welfare economics and the concept of externalities to analyze the role of government in correcting market failures.
  • E. Hicks–Kaldor compensation criterion
    The Hicks–Kaldor compensation criterion is an economic efficiency test stating that a policy change is desirable if those who gain could in principle compensate those who lose and still be better off, regardless of whether compensation actually occurs.
  • 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_69b34542fd908190b11b08faad8decfd completed March 12, 2026, 10:59 p.m.
NER Named-entity recognition batch_69b3513545fc81909e29de7eae1829f7 completed March 12, 2026, 11:50 p.m.
NED1 Entity disambiguation (via context triple) batch_69b5d09bf304819084fc1b9162c8b48a completed March 14, 2026, 9:18 p.m.
NEDg Description generation batch_69b5d48a56f881909cc75f45d87c8151 completed March 14, 2026, 9:35 p.m.
NED2 Entity disambiguation (via description) batch_69b5d4f99ff08190957b46cd84954f79 completed March 14, 2026, 9:36 p.m.
Created at: March 12, 2026, 11:13 p.m.