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Number of 26 16 18 16 8 10 4 votes First B A M M Second M В Third A M Fourth A M B B Fifth A A A Prior to the announcement of the election results, it is discovered that Maria had dropped out of the election. The election officials then decide to eliminate Maria's name from the election results. Number of 26 16 18 16 8 10 4 votes First T. A B Second Third A В В Fourth A A В A A A Using the pairwise comparison method, which candidate wins this election if Maria is included and which candidate wins this election if Maria is not included? Does this result violate the irrelevant alternatives criterion? Assume they vote the same order in both elections

Number of 26 16 18 16 8 10 4 votes First B A M M Second M В Third A M Fourth A M B B Fifth A A A Prior to the announcement of the election results, it is discovered that Maria had dropped out of the election. The election officials then decide to eliminate Maria's name from the election results. Number of 26 16 18 16 8 10 4 votes First T. A B Second Third A В В Fourth A A В A A A Using the pairwise comparison method, which candidate wins this election if Maria is included and which candidate wins this election if Maria is not included? Does this result violate the irrelevant alternatives criterion? Assume they vote the same order in both elections

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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The members of the Enterprise Swimming Club are holding an election to select a club president. The choices are: • Anderson (A), • Bailey (B), • Sanchez (S), • Maria (M), and Tompkins (T). Number of 26 16 18 16 8 10 4 votes First В В A S M M Second S S M Third M A T. M Fourth A M В Fifth A M В A A A Prior to the announcement of the election results, it is discovered that Maria had dropped out of the election. The election officials then decide to eliminate Maria's name from the election results. Number of 26 16 18 16 8 10 4 votes First B T. A T Second S Third T A В В T. В Fourth A A В A A A Using the pairwise comparison method, which candidate wins this election if Maria is included and which candidate wins this election if Maria is not included? Does this result violate the irrelevant alternatives criterion? Assume they vote the same order in both elections. a First vote: Sanchez is the winner, Second vote: Bailey is the winner, no the irrelevant alternative criterion is violated. First vote: Sanchez is the winner, Second vote: Thompkins is the winner, yes the irrelevant alternative criterion is violated. First vote: Bailey is the winner, Second vote: Sanchez is the winner, yes the irrelevant alternative criterion is violated. d. First vote: Sanchez is the winner, Second vote: Bailey is the winner, yes irrelevant alternative criterion is violated. EBS
Transcribed Image Text:The members of the Enterprise Swimming Club are holding an election to select a club president. The choices are: • Anderson (A), • Bailey (B), • Sanchez (S), • Maria (M), and Tompkins (T). Number of 26 16 18 16 8 10 4 votes First В В A S M M Second S S M Third M A T. M Fourth A M В Fifth A M В A A A Prior to the announcement of the election results, it is discovered that Maria had dropped out of the election. The election officials then decide to eliminate Maria's name from the election results. Number of 26 16 18 16 8 10 4 votes First B T. A T Second S Third T A В В T. В Fourth A A В A A A Using the pairwise comparison method, which candidate wins this election if Maria is included and which candidate wins this election if Maria is not included? Does this result violate the irrelevant alternatives criterion? Assume they vote the same order in both elections. a First vote: Sanchez is the winner, Second vote: Bailey is the winner, no the irrelevant alternative criterion is violated. First vote: Sanchez is the winner, Second vote: Thompkins is the winner, yes the irrelevant alternative criterion is violated. First vote: Bailey is the winner, Second vote: Sanchez is the winner, yes the irrelevant alternative criterion is violated. d. First vote: Sanchez is the winner, Second vote: Bailey is the winner, yes irrelevant alternative criterion is violated. EBS
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