Triple

T21712440
Position Surface form Disambiguated ID Type / Status
Subject second fundamental theorem of welfare economics E535938 entity
Predicate involvesConcept P531 FINISHED
Object Edgeworth box 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: Edgeworth box | Statement: [second fundamental theorem of welfare economics, involvesConcept, Edgeworth box]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Edgeworth box
Context triple: [second fundamental theorem of welfare economics, involvesConcept, Edgeworth box]
  • A. Edgeworth box chosen
    The Edgeworth box is a graphical tool in microeconomics used to analyze the distribution of resources and the efficiency of allocations between two consumers or goods.
  • B. 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.
  • C. 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.
  • 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.
  • 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.