Chapter 13: Problem 46
Why is it important to choose a voting system before an election takes place?
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Chapter 13: Problem 46
Why is it important to choose a voting system before an election takes place?
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A school district has 57 new laptop computers to be divided among four schools, according to their respective enrollments. The table shows the number of students enrolled in each school $$ \begin{array}{|l|c|c|c|c|c|} \hline \text { School } & \text { A } & \text { B } & \text { C } & \text { D } & \text { Total } \\ \hline \text { Enrollment } & 5040 & 4560 & 4040 & 610 & 14,250 \\ \hline \end{array} $$a. Apportion the laptop computers using Hamilton’s method. b. Use Hamilton’s method to determine if the Alabama paradox occurs if the number of laptop computers is increased from 57 to 58. Explain your answer
Citizen-initiated ballot measures often present voters with controversial issues over which they do not think alike. Here's one your author would like to initiate: Please rank each of the following options regarding permitting dogs on national park trails. a. Unleashed dogs accompanied by their caregivers should be permitted on designated national park trails. b. Leashed dogs accompanied by their caregivers should be permitted on designated national park trails. c. No dogs should be permitted on any national park trails. Your author was not happy with the fact that he could not take his dog running with him on the park trails at Point Reyes National Seashore. Of course, that is his issue. For this project, group members should write a ballot measure, perhaps controversial, like the sample above, but dealing with an issue of relevance to your campus and community. Rather than holding an election, use a random sample of students on your campus, administer the ballot, and have them rank their choices. a. Use each of the four voting methods to determine the winning option for your ballot measure. b. Check to see if any of the four fairness criteria are violated.
The travel club members are voting for the American city they will visit next semester: New York (N), San Francisco (S), or Chicago \((C)\). Their votes are summarized in the following preference table. $$ \begin{array}{|l|c|c|c|c|} \hline \text { Number of Votes } & 16 & 8 & 6 & 4 \\ \hline \text { First Choice } & \mathrm{S} & \mathrm{N} & \mathrm{N} & \mathrm{C} \\ \hline \text { Second Choice } & \mathrm{N} & \mathrm{S} & \mathrm{C} & \mathrm{N} \\ \hline \text { Third Choice } & \mathrm{C} & \mathrm{C} & \mathrm{S} & \mathrm{S} \\ \hline \end{array} $$ \(\text { Which city is selected using the plurality method? }\)
In your own words, describe Hamilton's method of apportionment.
Playwright Tom Stoppard wrote, "It's not the voting that's democracy; it's the counting." Explain what he meant by this.
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