In the system of approval voting

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In the system of “approval voting”, a citizen may vote for as many candidates as she wishes. If there are two candidates, say A and B, for example, a citizen may vote for neither candidate, for A, for B, or for both A and B. As before, the candidate who obtains the most votes wins.

(a) Show that any action that includes a vote for a citizen’s least preferred candidate is weakly dominated, as is any action that does not include a vote for her most preferred candidate.

(b) Show that if there are k candidates then for a citizen who prefers candidate 1 to candidate 2 to . . to candidate k, the action that consists of votes for candidates 1 and k − 1 is not weakly dominated.

Reference no: EM13889312

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