Top-two IRV is a variation of the plurality-with-elimination method in which all the

Chapter 1, Problem 68

(choose chapter or problem)

Top-two IRV is a variation of the plurality-with-elimination method in which all the candidates except the top two are eliminated in the first round (see Exercises 39 and 40). (a) Use the Math Club election to show that top-two IRV can produce a different outcome than plurality-withelimination. (b) Give an example that illustrates why top-two IRV violates the monotonicity criterion. (c) Give an example that illustrates why top-two IRV violates the Condorcet criterion.

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