CHAPTER 14 Summary 953 Important Facts and Concepts Examples and Discussion Section 14.1 Voting Methods Plurality Borda count method Plurality with elimination method Pairwise comparison method Discussion page 898, Examples 3– 4, page 899 Discussion pages 899–900, Examples 5– 6, pages 900 –901 Discussion page 902, Examples 7–8, pages 902–904 Discussion pages 905–906, Examples 9–10, pages 905–907 Section 14.2 Flaws of Voting Methods Majority criterion Head-to-head criterion Monotonicity criterion Irrelevant alternatives criterion Discussion page 914, Examples 1–2, 6, pages 914–915, 921 Discussion page 915, Examples 3, 6, pages 916–917, 921 Discussion page 917, Examples 4, 6, pages 918, 921 Discussion page 919, Examples 5, 6, pages 919–921 Section 14.3 Standard quota Standard divisor Apportionment Methods Hamilton’s method Jefferson’s method Webster’s method Adams’ method Example 1, page 930 Examples 2–3, pages 931–932 Discussion page 931, Examples 2–3, 7, pages 931–932, 939–941 Discussion page 933, Examples 4, 7, pages 934 –935, 939–941 Discussion page 936, Examples 5, 7, pages 936 –937, 939–941 Discussion page 937, Examples 6–7, pages 938–941 Section 14.4 Flaws of Apportionment Methods Alabama paradox Population paradox New-states paradox Discussion page 946, Example 1, pages 946 –947 Discussion page 947, Example 2, pages 947–948 Discussion pages 948–949, Example 3, page 949 Summary CHAPTER 14 a) Apportion the states using Hamilton’s method. 7, 26 b) Suppose that a third state with the population shown in the table below is added, with seven additional seats. Does the new-states paradox occur using Hamilton’s method? No. The apportionment is 7, 26, 7. State A B C Total Population 744 2556 710 4010 18. Adding a State A country with three states has 60 seats in the legislature. The population of each state is shown in the table below. State A B C Total Population 62,700 230,700 606,600 900,000 a) Apportion the seats using Hamilton’s method. 4, 15, 41 b) Suppose that a fourth state with the population shown in the table below is added, with five additional seats. Does the new-states paradox occur using Hamilton’s method? Yes. The apportionment is now 4, 16, 40, 5, and state C loses a seat. State A B C D Total Population 62,700 230,700 606,600 78,000 978,000 Research Activity 19. An Apportionment method Write a paper on which apportionment method you think is the best. Include reasons to support your choice, including the advantages and disadvantages of the method you have selected.
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