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.