Triple

T21712433
Position Surface form Disambiguated ID Type / Status
Subject second fundamental theorem of welfare economics E535938 entity
Predicate relatedTo P37 FINISHED
Object first fundamental theorem of welfare economics — NE NERFINISHED

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: first fundamental theorem of welfare economics | Statement: [second fundamental theorem of welfare economics, relatedTo, first fundamental theorem of welfare economics]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07 
Target entity: first fundamental theorem of welfare economics
Context triple: [second fundamental theorem of welfare economics, relatedTo, first fundamental theorem of welfare economics]
  • A. fundamental theorems of welfare economics
    The fundamental theorems of welfare economics are core results in microeconomic theory that formally link competitive market equilibria with Pareto efficiency and the conditions under which any efficient allocation can be supported as a market equilibrium.
  • B. second fundamental theorem of welfare economics
    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.
  • C. First Welfare Theorem chosen
    The First Welfare Theorem is a fundamental result in economics stating that, under certain ideal conditions, competitive market equilibria are Pareto efficient.
  • 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. welfare economics
    Welfare economics is a branch of economics that evaluates how the allocation of resources affects social well-being, often using ethical and efficiency criteria to assess and guide public policy.
  • F. None of above.
  • G. Unsure - the case is ambiguous/there is not enough information to decide.

Provenance (2 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_69e0c46c6dd88190a595375fa6ebd701 completed April 16, 2026, 11:13 a.m.
NER Named-entity recognition batch_69efb53573a08190ad73576d27e8094f completed April 27, 2026, 7:12 p.m.
Created at: April 16, 2026, 6:46 p.m.