Triple

T9986252
Position Surface form Disambiguated ID Type / Status
Subject Hotelling’s law E196773 entity
Predicate relatedTo P37 FINISHED
Object median voter theorem
The median voter theorem is a principle in political science and economics stating that in majority-rule elections with single-peaked preferences, candidates or parties tend to converge on the policy position preferred by the median voter.
E833552 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: median voter theorem | Statement: [Hotelling’s law, relatedTo, median voter theorem]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: median voter theorem
Context triple: [Hotelling’s law, relatedTo, median voter 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. 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.
  • C. 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.
  • D. Condorcet criterion
    The Condorcet criterion is a voting system standard requiring that if a candidate would win every head-to-head contest against each other candidate, that candidate must be the overall election winner.
  • E. Swing Vote
    Swing Vote is a 2008 American political comedy-drama film in which a single man's vote unexpectedly decides a deadlocked U.S. presidential election.
  • 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: median voter theorem
Triple: [Hotelling’s law, relatedTo, median voter theorem]
Generated description
The median voter theorem is a principle in political science and economics stating that in majority-rule elections with single-peaked preferences, candidates or parties tend to converge on the policy position preferred by the median voter.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: median voter theorem
Target entity description: The median voter theorem is a principle in political science and economics stating that in majority-rule elections with single-peaked preferences, candidates or parties tend to converge on the policy position preferred by the median voter.
  • 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. 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.
  • C. 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.
  • D. Condorcet criterion
    The Condorcet criterion is a voting system standard requiring that if a candidate would win every head-to-head contest against each other candidate, that candidate must be the overall election winner.
  • E. Swing Vote
    Swing Vote is a 2008 American political comedy-drama film in which a single man's vote unexpectedly decides a deadlocked U.S. presidential election.
  • 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.