Triple
T11912891
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Francis Ysidro Edgeworth |
E283437
|
entity |
| Predicate | knownFor |
P22
|
FINISHED |
| Object |
Edgeworth conjecture
The Edgeworth conjecture is a result in general equilibrium theory proposing that as the number of agents in an economy grows large, the set of competitive equilibria converges to the core of the economy.
|
E273018
|
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: Edgeworth conjecture | Statement: [Francis Ysidro Edgeworth, knownFor, Edgeworth conjecture]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Edgeworth conjecture Context triple: [Francis Ysidro Edgeworth, knownFor, Edgeworth conjecture]
-
A.
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.
-
B.
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.
-
C.
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.
-
D.
Nash bargaining solution
The Nash bargaining solution is a foundational concept in game theory that defines a fair and efficient outcome for two-party bargaining problems based on axioms of rationality and symmetry.
-
E.
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.
- 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: Edgeworth conjecture Triple: [Francis Ysidro Edgeworth, knownFor, Edgeworth conjecture]
Generated description
The Edgeworth conjecture is a result in general equilibrium theory proposing that as the number of agents in an economy grows large, the set of competitive equilibria converges to the core of the economy.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Edgeworth conjecture Target entity description: The Edgeworth conjecture is a result in general equilibrium theory proposing that as the number of agents in an economy grows large, the set of competitive equilibria converges to the core of the economy.
-
A.
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.
-
B.
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.
-
C.
Walrasian market-clearing framework
chosen
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.
-
D.
Nash bargaining solution
The Nash bargaining solution is a foundational concept in game theory that defines a fair and efficient outcome for two-party bargaining problems based on axioms of rationality and symmetry.
-
E.
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.
- F. None of above.
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_69d6ab2c07e88190ba13b0d21fd6cf33 |
completed | April 8, 2026, 7:23 p.m. |
| NER | Named-entity recognition | batch_69d8e528f6748190ac873a040a61fa93 |
completed | April 10, 2026, 11:55 a.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69f4185fd3588190807cc2906c4ce3fd |
completed | May 1, 2026, 3:05 a.m. |
| NEDg | Description generation | batch_69f41f1e746c81909f78f0e0bf173c7b |
completed | May 1, 2026, 3:33 a.m. |
| NED2 | Entity disambiguation (via description) | batch_69f42291f3608190ab079f939d34cf15 |
completed | May 1, 2026, 3:48 a.m. |
Created at: April 8, 2026, 9:44 p.m.