Triple

T5114207
Position Surface form Disambiguated ID Type / Status
Subject Arrow’s impossibility theorem E115290 entity
Predicate relatedTo P37 FINISHED
Object Gibbard–Satterthwaite theorem
The Gibbard–Satterthwaite theorem is a fundamental result in social choice theory showing that every reasonable voting system with at least three options is susceptible to strategic manipulation by voters.
E494084 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: Gibbard–Satterthwaite theorem | Statement: [Arrow’s impossibility theorem, relatedTo, Gibbard–Satterthwaite theorem]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Gibbard–Satterthwaite theorem
Context triple: [Arrow’s impossibility theorem, relatedTo, Gibbard–Satterthwaite theorem]
  • A. Arrow’s impossibility theorem
    Arrow’s impossibility theorem is a foundational result in social choice theory showing that no voting system can convert individual preferences into a collective ranking while simultaneously satisfying a set of seemingly reasonable fairness criteria.
  • B. Condorcet paradox
    The Condorcet paradox is a voting theory phenomenon where collective preferences can become cyclic and inconsistent, even when individual voters’ preferences are perfectly rational and transitive.
  • C. Collective Choice and Social Welfare
    Collective Choice and Social Welfare is a foundational work in social choice theory that rigorously examines how individual preferences can be aggregated into collective decisions while addressing issues of welfare, justice, and fairness.
  • D. Arrow paradox
    The Arrow paradox is an ancient philosophical argument that challenges the coherence of motion by claiming that a flying arrow must be motionless at every instant of its flight.
  • E. Kuhn’s theorem
    Kuhn’s theorem is a fundamental result in game theory that shows any finite extensive-form game with perfect recall has an equivalent normal-form (strategic-form) representation, ensuring the existence of mixed-strategy equilibria.
  • 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: Gibbard–Satterthwaite theorem
Triple: [Arrow’s impossibility theorem, relatedTo, Gibbard–Satterthwaite theorem]
Generated description
The Gibbard–Satterthwaite theorem is a fundamental result in social choice theory showing that every reasonable voting system with at least three options is susceptible to strategic manipulation by voters.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Gibbard–Satterthwaite theorem
Target entity description: The Gibbard–Satterthwaite theorem is a fundamental result in social choice theory showing that every reasonable voting system with at least three options is susceptible to strategic manipulation by voters.
  • A. Arrow’s impossibility theorem
    Arrow’s impossibility theorem is a foundational result in social choice theory showing that no voting system can convert individual preferences into a collective ranking while simultaneously satisfying a set of seemingly reasonable fairness criteria.
  • B. Condorcet paradox
    The Condorcet paradox is a voting theory phenomenon where collective preferences can become cyclic and inconsistent, even when individual voters’ preferences are perfectly rational and transitive.
  • C. Collective Choice and Social Welfare
    Collective Choice and Social Welfare is a foundational work in social choice theory that rigorously examines how individual preferences can be aggregated into collective decisions while addressing issues of welfare, justice, and fairness.
  • D. Arrow paradox
    The Arrow paradox is an ancient philosophical argument that challenges the coherence of motion by claiming that a flying arrow must be motionless at every instant of its flight.
  • E. Kuhn’s theorem
    Kuhn’s theorem is a fundamental result in game theory that shows any finite extensive-form game with perfect recall has an equivalent normal-form (strategic-form) representation, ensuring the existence of mixed-strategy equilibria.
  • 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_69bd4441d1648190a54a533895041987 completed March 20, 2026, 12:57 p.m.
NER Named-entity recognition batch_69bd75cd13a08190b53e67ba65333557 completed March 20, 2026, 4:29 p.m.
NED1 Entity disambiguation (via context triple) batch_69bebaadfaac8190aa0407196e5c4c20 completed March 21, 2026, 3:35 p.m.
NEDg Description generation batch_69bebb1a4370819085bcbe73a0b8c68e completed March 21, 2026, 3:36 p.m.
NED2 Entity disambiguation (via description) batch_69bebcf63784819097be14bb7dcbf4d9 completed March 21, 2026, 3:44 p.m.
Created at: March 20, 2026, 1:41 p.m.