Triple
T6710764
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | David Gale |
E153133
|
entity |
| Predicate | notableWork |
P4
|
FINISHED |
| Object |
Gale’s top trading cycles algorithm
Gale’s top trading cycles algorithm is a mechanism in matching theory that produces efficient and strategy-proof allocations of indivisible goods, such as in housing markets, by iteratively forming and executing trading cycles among participants.
|
E612746
|
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: Gale’s top trading cycles algorithm | Statement: [David Gale, notableWork, Gale’s top trading cycles algorithm]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Gale’s top trading cycles algorithm Context triple: [David Gale, notableWork, Gale’s top trading cycles algorithm]
-
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.
Kalai–Smorodinsky bargaining solution
The Kalai–Smorodinsky bargaining solution is a cooperative game theory concept that selects a fair agreement between parties by preserving proportional gains relative to their best possible outcomes.
-
C.
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.
-
D.
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.
-
E.
Uniform Rules for Demand Guarantees
The Uniform Rules for Demand Guarantees are a globally recognized set of standardized practices and guidelines governing the use and operation of demand guarantees in international trade and finance.
- 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: Gale’s top trading cycles algorithm Triple: [David Gale, notableWork, Gale’s top trading cycles algorithm]
Generated description
Gale’s top trading cycles algorithm is a mechanism in matching theory that produces efficient and strategy-proof allocations of indivisible goods, such as in housing markets, by iteratively forming and executing trading cycles among participants.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Gale’s top trading cycles algorithm Target entity description: Gale’s top trading cycles algorithm is a mechanism in matching theory that produces efficient and strategy-proof allocations of indivisible goods, such as in housing markets, by iteratively forming and executing trading cycles among participants.
-
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.
Kalai–Smorodinsky bargaining solution
The Kalai–Smorodinsky bargaining solution is a cooperative game theory concept that selects a fair agreement between parties by preserving proportional gains relative to their best possible outcomes.
-
C.
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.
-
D.
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.
-
E.
Uniform Rules for Demand Guarantees
The Uniform Rules for Demand Guarantees are a globally recognized set of standardized practices and guidelines governing the use and operation of demand guarantees in international trade and finance.
- 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_69c68808d8d8819087369015270788fe |
completed | March 27, 2026, 1:37 p.m. |
| NER | Named-entity recognition | batch_69c6d107380481909cc761dc182834c1 |
completed | March 27, 2026, 6:48 p.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69c700906a9c81908a121db4291195d8 |
completed | March 27, 2026, 10:11 p.m. |
| NEDg | Description generation | batch_69c701db4eb081908db6dd22fbfb28d1 |
completed | March 27, 2026, 10:16 p.m. |
| NED2 | Entity disambiguation (via description) | batch_69c7026529ec81909479b826efb5eb54 |
completed | March 27, 2026, 10:19 p.m. |
Created at: March 27, 2026, 2:06 p.m.