A 15-person committee is having lunch catered for a meeting. Three caterers, each specializing in a different cuisine, are available. In order to choose a caterer for the group, each member is asked to rank the cuisine options in order of preference. The results are given in the preference schedule below. Rankings Italian 3 Mexican 1 1 2 Japanese 1 Number of votes: 2 4 3 Using plurality voting, does the winner satisfy the Condorcet criterion?

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A 15-person committee is having lunch catered for a meeting. Three caterers, each specializing in a different cuisine, are
available. In order to choose a caterer for the group, each member is asked to rank the cuisine options in order of
preference. The results are given in the preference schedule below.
Rankings
Italian
1.
1
2
3
Mexican
2
1
1
2
Japanese
Number of votes:
2.
4
5 3
Using plurality voting, does the winner satisfy the Condorcet criterion?
Yes. Using plurality voting, Mexican won, and Mexican won both head-to-head contests.
Yes. Using plurality voting, Italian won, and Italian won both head-to-head contests.
O No. Using plurality voting, Italian and Mexican tied, although Mexican won both head-to-head contests.
O No. Using plurality voting, Italian and Mexican tied, although Italian won both head-to-head contests.
O No. Using plurality voting, Italian and Mexican tied, although Japanese won both head-to-head contests.
3.
3.
3.
2.
Transcribed Image Text:A 15-person committee is having lunch catered for a meeting. Three caterers, each specializing in a different cuisine, are available. In order to choose a caterer for the group, each member is asked to rank the cuisine options in order of preference. The results are given in the preference schedule below. Rankings Italian 1. 1 2 3 Mexican 2 1 1 2 Japanese Number of votes: 2. 4 5 3 Using plurality voting, does the winner satisfy the Condorcet criterion? Yes. Using plurality voting, Mexican won, and Mexican won both head-to-head contests. Yes. Using plurality voting, Italian won, and Italian won both head-to-head contests. O No. Using plurality voting, Italian and Mexican tied, although Mexican won both head-to-head contests. O No. Using plurality voting, Italian and Mexican tied, although Italian won both head-to-head contests. O No. Using plurality voting, Italian and Mexican tied, although Japanese won both head-to-head contests. 3. 3. 3. 2.
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