Voting and Apportionment Active Learning Lecture Slides For use with Classroom Response Systems Chapter 15 Voting and Apportionment

The employees at a local law firm are voting on the entrée for their annual holiday party. Their choices are chicken (C), salmon (S), and steak (T). The preference table follows. Number of Votes 30 18 12 23 First T C S Second Third

Here’s the preference table, again. How many employees voted? Number of Votes 30 18 12 23 First T C S Second Third a. 48 b. 58 c. 60 d. 83

Here’s the preference table, again. How many employees voted? Number of Votes 30 18 12 23 First T C S Second Third a. 48 b. 58 c. 60 d. 83

Here’s the preference table, again Here’s the preference table, again. Does any choice have a majority of votes? Number of Votes 30 18 12 23 First T C S Second Third a. Yes. b. No. c. Can’t determine.

Here’s the preference table, again Here’s the preference table, again. Does any choice have a majority of votes? Number of Votes 30 18 12 23 First T C S Second Third a. Yes. b. No. c. Can’t determine.

Here’s the preference table, again Here’s the preference table, again. Determine the winner using the plurality method. Number of Votes 30 18 12 23 First T C S Second Third a. Chicken b. Salmon c. Steak d. Can’t determine

Here’s the preference table, again Here’s the preference table, again. Determine the winner using the plurality method. Number of Votes 30 18 12 23 First T C S Second Third a. Chicken b. Salmon c. Steak d. Can’t determine

Here’s the preference table, again Here’s the preference table, again. Determine the winner using the Borda count method. Number of Votes 30 18 12 23 First T C S Second Third a. Chicken b. Salmon c. Steak d. Can’t determine

Here’s the preference table, again Here’s the preference table, again. Determine the winner using the Borda count method. Number of Votes 30 18 12 23 First T C S Second Third a. Chicken b. Salmon c. Steak d. Can’t determine

Here’s the preference table, again Here’s the preference table, again. Determine the winner using the plurality method with elimination method. Number of Votes 30 18 12 23 First T C S Second Third a. Chicken b. Salmon c. Steak d. Can’t determine

Here’s the preference table, again Here’s the preference table, again. Determine the winner using the plurality method with elimination method. Number of Votes 30 18 12 23 First T C S Second Third a. Chicken b. Salmon c. Steak d. Can’t determine

Here’s the preference table, again Here’s the preference table, again. Determine the winner using the pairwise comparison method. Number of Votes 30 18 12 23 First T C S Second Third a. Chicken b. Salmon c. Steak d. Can’t determine

Here’s the preference table, again Here’s the preference table, again. Determine the winner using the pairwise comparison method. Number of Votes 30 18 12 23 First T C S Second Third a. Chicken b. Salmon c. Steak d. Can’t determine

The employees also must pick the dessert for their holiday party The employees also must pick the dessert for their holiday party. The choices are cheese cake (C), apple tart (A), chocolate mousse cake (M), or vanilla ice cream (V). Here’s the preference table. Number of Votes 19 16 12 22 14 First A C M V Second Third Fourth

Which dessert wins this election if the plurality method is used? Number of Votes 19 16 12 22 14 First A C M V Second Third Fourth a. Cheese cake b. Apple tart c. Chocolate Mousse d. Vanilla ice cream

Which dessert wins this election if the plurality method is used? Number of Votes 19 16 12 22 14 First A C M V Second Third Fourth a. Cheese cake b. Apple tart c. Chocolate Mousse d. Vanilla ice cream

Which dessert wins this election if the Borda count method is used? Number of Votes 19 16 12 22 14 First A C M V Second Third Fourth a. Cheese cake b. Apple tart c. Chocolate Mousse d. Vanilla ice cream

Which dessert wins this election if the Borda count method is used? Number of Votes 19 16 12 22 14 First A C M V Second Third Fourth a. Cheese cake b. Apple tart c. Chocolate Mousse d. Vanilla ice cream

Which dessert wins this election if the plurality with elimination method is used? Number of Votes 19 16 12 22 14 First A C M V Second Third Fourth a. Cheese cake b. Apple tart c. Chocolate Mousse d. Vanilla ice cream

Which dessert wins this election if the plurality with elimination method is used? Number of Votes 19 16 12 22 14 First A C M V Second Third Fourth a. Cheese cake b. Apple tart c. Chocolate Mousse d. Vanilla ice cream

Which dessert wins this election if the pairwise comparison method is used? Number of Votes 19 16 12 22 14 First A C M V Second Third Fourth a. Cheese cake b. Apple tart c. Chocolate Mousse d. Vanilla ice cream

Which dessert wins this election if the pairwise comparison method is used? Number of Votes 19 16 12 22 14 First A C M V Second Third Fourth a. Cheese cake b. Apple tart c. Chocolate Mousse d. Vanilla ice cream

Which voting method(s) – plurality, Borda count, plurality with elimination, or pairwise comparison – violate the majority criterion using the following election data? Number of Votes 10 15 20 First A B C Second Third a. Plurality b. Plurality with elimination c. Borda count d. Pairwise comparison

Which voting method(s) – plurality, Borda count, plurality with elimination, or pairwise comparison – violate the majority criterion using the following election data? Number of Votes 10 15 20 First A B C Second Third a. Plurality b. Plurality with elimination c. Borda count d. Pairwise comparison

The high school band is voting on a new mascot The high school band is voting on a new mascot. Their choices are a bulldog (B), an eagle (E), and a wildcat (W). The 75 committee members rank their choices according to the following preference table. Does the plurality with elimination method violate the head- to-head criterion? Number of Votes 23 20 17 15 First B E W Second Third a. Yes b. No c. Can’t determine

The high school band is voting on a new mascot The high school band is voting on a new mascot. Their choices are a bulldog (B), an eagle (E), and a wildcat (W). The 75 committee members rank their choices according to the following preference table. Does the plurality with elimination method violate the head- to-head criterion? Number of Votes 23 20 17 15 First B E W Second Third a. Yes b. No c. Can’t determine