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Unformatted text preview: Chapter 1 supplemental homework problems: 1. A poll of 31 sports writers is conducted ranking the four best teams in the Big East football conference, namely Rutgers, West Virginia, Pittsburgh, and Cincinnati. If all the sports writers vote honestly, the following preference schedule results: 8 11 5 7 1 st place Rutgers West Virginia Cincinnati Pittsburgh 2 nd place West Virginia Cincinnati Pittsburgh Rutgers 3 rd place Pittsburgh Rutgers West Virginia Cincinnati 4 th place Cincinnati Pittsburgh Rutgers West Virginia 1a. What is the ranking of teams according to the extended Borda count method? [This method , or a variation of it, is frequently used in sports polls.] 1b. If all voters cast ballots as indicated in the preference schedule above except for the block of 8 voters who rank Rutgers highest, how can these 8 voters change their own ballots to make Rutgers the #1 team overall? [This is called "insincere" or "strategic" voting.] 1c. If all voters cast ballots as indicated in the preference schedule above except for the block of...
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This note was uploaded on 04/02/2012 for the course COMMUNICAT 313 taught by Professor Herk during the Spring '12 term at Rutgers.
- Spring '12