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Suppose that in a Borda count election, outcome X is preferred to outcome Y, and outcome Y is preferred to outcome Z, when outcomes X,

Suppose that in a Borda count election, outcome X is preferred to outcome Y, and outcome Y is preferred to outcome Z, when outcomes X, Y, and Z are all available options. When Y is removed as an option, however, outcome Z is preferred to outcome X. This would violate Arrow's assumption that voting systems should satisfy

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transitivity.

unanimity.

no dictators.

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