Triple

T18044564
Position Surface form Disambiguated ID Type / Status
Subject First Welfare Theorem E431737 entity
Predicate relatedTo P37 FINISHED
Object Second Welfare Theorem 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: Second Welfare Theorem | Statement: [First Welfare Theorem, relatedTo, Second Welfare Theorem]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Second Welfare Theorem
Context triple: [First Welfare Theorem, relatedTo, Second Welfare Theorem]
  • A. 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.
  • B. 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.
  • 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. 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.
  • E. Arrow–Debreu model
    The Arrow–Debreu model is a foundational general equilibrium framework in economics that rigorously characterizes how competitive markets can allocate resources efficiently across time and under uncertainty.
  • 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_69d8b906482481908183315b9ecf9994 completed April 10, 2026, 8:47 a.m.
NER Named-entity recognition batch_69e4bff13f488190993445769551c9c2 completed April 19, 2026, 11:43 a.m.
Created at: April 10, 2026, 10:25 a.m.