Triple

T11515460
Position Surface form Disambiguated ID Type / Status
Subject Walrasian market-clearing framework E273018 entity
Predicate relatedConcept P37 FINISHED
Object second welfare theorem E535938 NE FINISHED

How this triple was built (2 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: second welfare theorem | Statement: [Walrasian market-clearing framework, relatedConcept, second welfare theorem]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: second welfare theorem
Context triple: [Walrasian market-clearing framework, relatedConcept, second welfare theorem]
  • A. second fundamental theorem of welfare economics chosen
    The second fundamental theorem of welfare economics states that, under certain ideal conditions, any Pareto efficient allocation of resources can be achieved as a competitive market equilibrium given an appropriate redistribution of initial endowments.
  • B. 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.
  • C. 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.
  • D. Bergson–Samuelson social welfare function
    The Bergson–Samuelson social welfare function is a formal tool in welfare economics that aggregates individual utilities into a single measure of social welfare to evaluate and compare economic states or policies.
  • E. 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.
  • F. None of above.
  • G. Unsure - the case is ambiguous/there is not enough information to decide.

Provenance (3 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_69d6aae2c3748190bed2ea50dfb160dc completed April 8, 2026, 7:22 p.m.
NER Named-entity recognition batch_69d86db8bf9c8190820c289e6b0c3873 completed April 10, 2026, 3:25 a.m.
NED1 Entity disambiguation (via context triple) batch_69e625143a608190a1119b30c08df0fd completed April 20, 2026, 1:07 p.m.
Created at: April 8, 2026, 9:36 p.m.