A group of four people is about to select one out of six possible social states, $a, b, c, d, e$ or $f$. (a) Which state will be selected if the decision is based on a traditional voting procedure? (Does the result depend on how the voting procedure is set up, given that all people get one vote each?) (b) Which state would be selected by the maximin rule? (It prescribes that society should prefer a state in which the worst-off person is as well off as possible.)
Anne:$a>b>c>d>e$
Bert: $b>a>c>e>d$
Carl: $a>c>d>b>e$
Diana: $a>b>c>d>e$