Consider the following preference orderings.
Councillor 1: Education $\succ$ Medical $\succ$ Tax cut
Councillor 2: Medical $\succ$ Tax cut $\succ$ Education
Councillor 3: Tax cut $\succ$ Education $\succ$ Medical
If Councillor 1 gets to be the agenda setter and choose the ordering in which the three councillors vote over the alternatives, which of the following agendas should she set in order to get her most-preferred outcome?
A) It wouldn't make a difference; the final choice would be the same regardless of the agenda.
B) First a vote between education and medical, and then the winner against tax cuts.
C) First a vote between medical and tax cuts, and then the winner against education.
D) First a vote between tax cuts and education, and then the winner against medical.

Question

Quizplus · Accepted Answer

Councillor 1 should set an agenda where medical and tax cuts are compared first. If tax cuts win, then Councillor 1's least preferred option is chosen. If medical wins, then there will be a vote between medical and education, which is Councillor 1's two most preferred options. Therefore, Councillor 1's most preferred outcome would be achieved by setting the agenda as follows:

Medical vs Tax cut, and then the winner against Education.

Consider the Following Preference Orderings ≻\succ≻ Medical ≻\succ≻ Tax Cut Councillor 2: Medical

Consider the Following Preference Orderings $\succ$ Medical $\succ$ Tax Cut
Councillor 2: Medical