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.