Question

5. First Profile #of Ranking Voters A 10-member committee is selecting a site for its next meeting. The 4 B>C>A>D choices are City A, City B, City C, and City D. 3 D>A>C>B 2 D>A>> 1 C>B>A>D Second Profile #of Ranking Voters 4 B>C>A>D 3 D>A>C>B 2 D>ABC 1 B>D>CA (a) The committee members decide to use the pairwise comparison method to select a site in a nonbinding decision. Prior to any discussion, the 10 members rank the choices according to the first voter profile above. Show that City B is selected by the pairwise comparison method in the preliminary nonbinding decision. Complete the table below to demonstrate this. City А B с D Pairwise Comparison Points (Type Integers or decimals.) (b) The 1 committee member with the bottom ranking in the table rearranges his ranking after listening to the discussions The other 9 committee members stick with their original rankings of the cities. For the official vote, the 10 members rank the choices according to the second voter profile above. Using the painwise comparison method, the site selection of the city is (c) Does the pairwise comparison method violate the monotonicity criterion in this selection process? O No Yes (1) City A City C. City B. O City D.

Answer 1

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