Triple
T5425463
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Sperner's lemma |
E121351
|
entity |
| Predicate | relatedTo |
P37
|
FINISHED |
| Object | Nash equilibrium |
E630
|
NE FINISHED |
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: Nash equilibrium | Statement: [Sperner's lemma, relatedTo, Nash equilibrium]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Nash equilibrium Context triple: [Sperner's lemma, relatedTo, Nash equilibrium]
-
A.
On Equilibrium
On Equilibrium is a philosophical work by John Ralston Saul that explores the importance of balancing key human qualities—such as reason, ethics, and common sense—to create a more humane and democratic society.
-
B.
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.
-
C.
Nash
Nash is a surname of English origin borne by numerous notable individuals across fields such as civil rights activism, mathematics, and the arts.
-
D.
Game Theory (with Drew Fudenberg)
"Game Theory (with Drew Fudenberg)" is a widely used graduate-level textbook that provides a rigorous and comprehensive introduction to modern game theory and its applications in economics.
-
E.
Non-cooperative Games
chosen
Non-cooperative Games is John Nash’s seminal 1950 paper that founded modern non-cooperative game theory and introduced the concept now known as Nash equilibrium.
- F. None of above.
- G. Unsure - the case is ambiguous/there is not enough information to decide.
Provenance (3 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_69bd463b58d88190b258261573de9e91 |
completed | March 20, 2026, 1:06 p.m. |
| NER | Named-entity recognition | batch_69bd881598448190a9bb456dee36004b |
completed | March 20, 2026, 5:47 p.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69bf3abfc7e88190b8f0a31b61c33973 |
completed | March 22, 2026, 12:41 a.m. |
Created at: March 20, 2026, 2:06 p.m.