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.