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Consider a society with 3 people (John, Eleanor and Abigail) who use the majority voting rule to decide how much to spend on a public park. There are 3 options, high (H), medium (M) and low (L) spending and the individuals rank the options in the following way:

Rank          John         Eleanor                Abigail

1                  M               L                         H

2                   L              M                         M

3                   H             H                          L

Suppose that Eleanor’s preference ordering changed to the following: First choice L, second choice H, and third choice M.

Using Eleanor’s preferences from above, how could Eleanor, if she were in charge of the agenda, arrange the pairwise voting to guarantee that her first choice wins?

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