Triple
T31757
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | A Beautiful Mind (biography) |
E633
|
entity |
| Predicate | coversTopic |
P380
|
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: [A Beautiful Mind (biography), coversTopic, Nash equilibrium]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Nash equilibrium Context triple: [A Beautiful Mind (biography), coversTopic, Nash equilibrium]
-
A.
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.
-
B.
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.
-
C.
Kakutani fixed-point theorem
The Kakutani fixed-point theorem is a fundamental result in mathematical analysis and game theory that guarantees the existence of fixed points for certain set-valued (multivalued) functions, underpinning key existence proofs such as Nash equilibria.
-
D.
John Nash
John Nash was an American mathematician renowned for his groundbreaking work in game theory, differential geometry, and partial differential equations, which profoundly influenced economics and the mathematical sciences.
-
E.
A Loop
A Loop is a modern streetcar route in Portland, Oregon, that provides circulator service through the central city and adjacent neighborhoods as part of the Portland Streetcar system.
- 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_69a2479dec388190967ba648663442c9 |
completed | Feb. 28, 2026, 1:40 a.m. |
| NER | Named-entity recognition | batch_69a2487838f881908ab8eda6c6ae53e4 |
completed | Feb. 28, 2026, 1:44 a.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69a266e34b548190a0fc4dea2cf37e52 |
completed | Feb. 28, 2026, 3:54 a.m. |
Created at: Feb. 28, 2026, 1:44 a.m.