Explanation The total votes are 4 + 9 + 5 + 7 = 25 . Obtain the preference table with four candidates and four rankings of the candidates such that the plurality method violates the head-to-head criterion is shown below in Table 1. The pairs that follow are A and B, A and C, A and D, B and C, B and D, and C and D. Compute the votes of the candidate in the pairs. In the pair A and B, A receives the 9 + 5 = 14 votes and B obtains 4 + 7 = 12 votes, hence A receives 1 point. For the pair A and C, A receives the 4 + 9 = 13 votes and C receives 5 + 7 = 12 votes, hence A obtains 1 point. In the pair A and D, A receives the 4 + 9 = 13 votes and D receives 5 + 7 = 12 votes, hence A obtains 1 point

A Survey of Mathematics with Applications Plus MyLab Math with Pearson eText -- 18 Week Access Card Package

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ISBN: 9780136208341

Author: Angel, Allen, Abbott, Christine, RUNDE, Dennis

Publisher: PEARSON

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Chapter 14.2, Problem 34E

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To construct: A preference table with four candidates and four rankings of the candidates such that the plurality method violates the head-to-head criterion.

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Chapter 14.2, Problem 33E

Chapter 14.2, Problem 35E

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Chapter 14 Solutions

A Survey of Mathematics with Applications Plus MyLab Math with Pearson eText -- 18 Week Access Card Package

Ch. 14.1 - In Exercise 1-8, fill in the blank with an...Ch. 14.1 - In Exercise 1-8, fill in the blank with an...Ch. 14.1 - In Exercise 1-8, fill in the blank with an...Ch. 14.1 - In Exercise 1-8, fill in the blank with an...Ch. 14.1 - Prob. 5E Ch. 14.1 - In Exercise 1-8, fill in the blank with an...Ch. 14.1 - Prob. 7E Ch. 14.1 - Prob. 8E Ch. 14.1 - Plurality Three candidates are running for mayor...Ch. 14.1 - Prob. 10E

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To construct: A preference table with four candidates and four rankings of the candidates such that the plurality method violates the head-to-head criterion.

Solution Summary: The author explains that the plurality method violates the head-to-head criterion. The preference table with four candidates and four rankings of the candidates is shown in Table 1.

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To construct: A preference table with four candidates and four rankings of the candidates such that the plurality method violates the head-to-head criterion.

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Chapter 14 Solutions