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: fundamental theorems of welfare economics | Statement: [First Welfare Theorem, isPartOf, fundamental theorems of welfare economics]

Target entity: fundamental theorems of welfare economics
Context triple: [First Welfare Theorem, isPartOf, fundamental theorems of welfare economics]

• A. second fundamental theorem of welfare economics
  The second fundamental theorem of welfare economics states that, under certain ideal conditions, any Pareto efficient allocation of resources can be achieved as a competitive market equilibrium given an appropriate redistribution of initial endowments.
• B. First Welfare Theorem
  The First Welfare Theorem is a fundamental result in economics stating that, under certain ideal conditions, competitive market equilibria are Pareto efficient.
• C. welfare economics
  Welfare economics is a branch of economics that evaluates how the allocation of resources affects social well-being, often using ethical and efficiency criteria to assess and guide public policy.
• D. Bergson–Samuelson social welfare function
  The Bergson–Samuelson social welfare function is a formal tool in welfare economics that aggregates individual utilities into a single measure of social welfare to evaluate and compare economic states or policies.
• E. Gale–Nikaidō–Debreu theorem
  The Gale–Nikaidō–Debreu theorem is a fundamental result in mathematical economics that provides conditions ensuring the existence (and sometimes uniqueness) of equilibrium in certain nonlinear and general equilibrium models.
• F. None of above. chosen
• G. Unsure - the case is ambiguous/there is not enough information to decide.

Target entity: fundamental theorems of welfare economics
Target entity description: The fundamental theorems of welfare economics are core results in microeconomic theory that formally link competitive market equilibria with Pareto efficiency and the conditions under which any efficient allocation can be supported as a market equilibrium.

• A. second fundamental theorem of welfare economics
  The second fundamental theorem of welfare economics states that, under certain ideal conditions, any Pareto efficient allocation of resources can be achieved as a competitive market equilibrium given an appropriate redistribution of initial endowments.
• B. First Welfare Theorem
  The First Welfare Theorem is a fundamental result in economics stating that, under certain ideal conditions, competitive market equilibria are Pareto efficient.
• C. welfare economics
  Welfare economics is a branch of economics that evaluates how the allocation of resources affects social well-being, often using ethical and efficiency criteria to assess and guide public policy.
• D. Bergson–Samuelson social welfare function
  The Bergson–Samuelson social welfare function is a formal tool in welfare economics that aggregates individual utilities into a single measure of social welfare to evaluate and compare economic states or policies.
• E. Gale–Nikaidō–Debreu theorem
  The Gale–Nikaidō–Debreu theorem is a fundamental result in mathematical economics that provides conditions ensuring the existence (and sometimes uniqueness) of equilibrium in certain nonlinear and general equilibrium models.
• F. None of above. chosen