Triple
T9070910
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Herbert Scarf |
E217362
|
entity |
| Predicate | notableWork |
P4
|
FINISHED |
| Object |
The Computation of Economic Equilibria
"The Computation of Economic Equilibria" is a seminal book in mathematical economics that develops algorithmic and computational methods for finding general equilibrium solutions in economic models.
|
E776132
|
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: The Computation of Economic Equilibria | Statement: [Herbert Scarf, notableWork, The Computation of Economic Equilibria]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: The Computation of Economic Equilibria Context triple: [Herbert Scarf, notableWork, The Computation of Economic Equilibria]
-
A.
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.
-
B.
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.
-
C.
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.
-
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.
Foundations of Economic Analysis
Foundations of Economic Analysis is a landmark 1947 economics book by Paul Samuelson that applied rigorous mathematical methods to unify and formalize microeconomic and macroeconomic theory.
- 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: The Computation of Economic Equilibria Triple: [Herbert Scarf, notableWork, The Computation of Economic Equilibria]
Generated description
"The Computation of Economic Equilibria" is a seminal book in mathematical economics that develops algorithmic and computational methods for finding general equilibrium solutions in economic models.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: The Computation of Economic Equilibria Target entity description: "The Computation of Economic Equilibria" is a seminal book in mathematical economics that develops algorithmic and computational methods for finding general equilibrium solutions in economic models.
-
A.
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.
-
B.
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.
-
C.
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.
-
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.
Foundations of Economic Analysis
Foundations of Economic Analysis is a landmark 1947 economics book by Paul Samuelson that applied rigorous mathematical methods to unify and formalize microeconomic and macroeconomic theory.
- F. None of above. chosen
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_69ca83d5a7f48190b16c1e59bd43ede0 |
completed | March 30, 2026, 2:08 p.m. |
| NER | Named-entity recognition | batch_69cc955ec5c0819089bb42448edf391e |
completed | April 1, 2026, 3:47 a.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69cffde470388190ae88a96654404410 |
completed | April 3, 2026, 5:50 p.m. |
| NEDg | Description generation | batch_69d000d2c5688190b014ce33c04ff875 |
completed | April 3, 2026, 6:02 p.m. |
| NED2 | Entity disambiguation (via description) | batch_69d001a1056c819083793547dbd4b1ee |
completed | April 3, 2026, 6:06 p.m. |
Created at: March 30, 2026, 7:12 p.m.