Triple

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).

Phrase: Gibbard's theorem | Statement: [Gibbard–Satterthwaite theorem, relatesTo, Gibbard's theorem]

Target entity: Gibbard's theorem
Context triple: [Gibbard–Satterthwaite theorem, relatesTo, Gibbard's theorem]

• A. Gibbard–Satterthwaite theorem chosen
  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.
• B. 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.
• C. Condorcet jury theorem
  The Condorcet jury theorem is a result in probability theory and social choice stating that, under certain conditions, the likelihood that a majority vote yields the correct decision increases as the size of the voting group grows.
• D. 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.
• E. Social Choice and Individual Values
  Social Choice and Individual Values is a foundational 1951 book by economist Kenneth Arrow that established modern social choice theory and introduced Arrow’s impossibility theorem.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.