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.