  May's classical theorem states that in a single-winner choose-one voting
system with just two candidates, majority rule is the only social choice
function satisfying anonimity, neutrality and positive responsiveness axiom.
Anonimity and neutrality are usually regarded as very natural constraints on
the social choice function. Positive responsiveness, on the other hand, is
sometimes deemed too strong of an axiom, which stimulates further search for
less stringent conditions. One viable substitute is Gerhard J. Woeginger's
"reducibility to subsocieties". We demonstrate that the condition generalizes
to more than two candidates and, consequently, characterizes majority rule for
elections with multiple candidates.
