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11. Understanding Arrow's impossibility theorem Arrow's impossibility theorem states that under certain assumptions about preferences, no voting system exists which satisfies all of the following

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11. Understanding Arrow's impossibility theorem Arrow's impossibility theorem states that under certain assumptions about preferences, no voting system exists which satisfies all of the following properties: . Unanimity . Transitivity . Independence of irrelevant alternatives . No dictators Assume individuals in a society have preferences regarding the following possible outcomes: A, B, and C. For each description in the following table, identify the property of a desirable voting system it portrays. ndependence of Irrelevant Noy the property of a desirable voting system it portrays. Independence of Irrelevant No Description Unanimity Transitivity Alternatives Dictators There is no person who always gets what he wants, despite O O O O everyone else's preferences If everyone prefers C to A, then C beats A. O O O If A beats C, and C beats B, then A beats B. O O O O The ranking between A and C does not depend on whether B is also O O O O available. Consider the following voting system: In the Borda count voting system, each voter ranks the possible outcomes, giving 1 point to the last-place outcome, 2 points to second to last, etc. The outcome that receives the most total points wins. Suppose when outcomes A, B, and C are available, outcome B is the winner according to a Borda count voting system. However, when outcome C is no longer possible, outcome A is the winner according to a Borda count voting system.Which property does this voting method violate according to Arrow's impossibility theorem? O No dictators O Unanimity O Transitivity Independence of irrelevant alternatives

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