Triple

T9986256
Position Surface form Disambiguated ID Type / Status
Subject Hotelling’s law E196773 entity
Predicate relatedTo P37 FINISHED
Object Nash equilibrium
A Nash equilibrium is a game-theoretic solution concept where no player can improve their payoff by unilaterally changing their strategy, given the strategies of all other players.
E833553 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: Nash equilibrium | Statement: [Hotelling’s law, relatedTo, Nash equilibrium]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Nash equilibrium
Context triple: [Hotelling’s law, 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 key protagonist and magician in the role-playing game "Lunar: The Silver Star," known for his arrogant demeanor and loyalty to his friends.
  • D. Nash
    Nash is a surname of English origin borne by numerous notable individuals across fields such as civil rights activism, mathematics, and the arts.
  • E. 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.
  • 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: Nash equilibrium
Triple: [Hotelling’s law, relatedTo, Nash equilibrium]
Generated description
A Nash equilibrium is a game-theoretic solution concept where no player can improve their payoff by unilaterally changing their strategy, given the strategies of all other players.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Nash equilibrium
Target entity description: A Nash equilibrium is a game-theoretic solution concept where no player can improve their payoff by unilaterally changing their strategy, given the strategies of all other players.
  • 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 key protagonist and magician in the role-playing game "Lunar: The Silver Star," known for his arrogant demeanor and loyalty to his friends.
  • D. Nash
    Nash is a surname of English origin borne by numerous notable individuals across fields such as civil rights activism, mathematics, and the arts.
  • E. 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.
  • 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_69ca82f1678c819093d06320a05f16a4 completed March 30, 2026, 2:04 p.m.
NER Named-entity recognition batch_69cdc79af13c81909349ae0b0d5da946 completed April 2, 2026, 1:34 a.m.
NED1 Entity disambiguation (via context triple) batch_69d258078488819086a58db79075e2b9 completed April 5, 2026, 12:39 p.m.
NEDg Description generation batch_69d258f0e91881909fdda5a5f3e50d29 completed April 5, 2026, 12:43 p.m.
NED2 Entity disambiguation (via description) batch_69d259bf38b08190b059dd7bd42d8862 completed April 5, 2026, 12:46 p.m.
Created at: March 30, 2026, 8:49 p.m.