A | B | C | D | E | F |
---|---|---|---|---|---|

1. Democrat 2. Republican 3. Third |
1. Republican 2. Democrat 3. Third |
1. Democrat 2. Third 3. Republican |
1. Republican 2. Third 3. Democrat |
1. Third 2. Democrat 3. Republican |
1. Third 2. Republican 3. Democrat |

Let's assume the results of the mock election are as follows:

Votes | Preference Order | |
---|---|---|

8 | E : Third > Democrat > Republican | |

8 | D : Republican > Third > Democrat | |

5 | A : Democrat > Republican > Third | |

4 | C : Democrat > Third > Republican | |

2 | F : Third > Republican > Democrat | |

2 | B : Republican > Democrat > Third | |

29 | Total Votes |

What is the preference of the group as a whole?

Answer: This is an example of a

Voting paradoxes are also studied in part because of their implications
for practical politics. For instance, the instructor can manipulate
the class to choose between the Republican and the Third, and then
ask the class to choose between the winner of that contest (the Republican)
and the Democrat. By similar manipulations, any of the other two
candidates can be made to come out as the winner.

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