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Arrow's Impossibility Theorem

#economics #voting-theory #social-choice #politics

Examine the theoretical limitations of ranked voting systems.

Provide a detailed explanation of Arrow's Impossibility Theorem in social choice theory. List the conditions defined by Kenneth Arrow (Unrestricted Domain, Non-Dictatorship, Pareto Efficiency, and Independence of Irrelevant Alternatives). Explain theoretically why no ranked-order voting system can satisfy all these conditions simultaneously when there are three or more options.