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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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