We consider the problem of electing candidates in situations where the
number of candidates and the number of voters may vary. An election c
onsists of a set of candidates and a set of voters. A voting rule asso
ciates a non-empty subset of candidates with each election. We show th
at there is only one rule that satisfies neutrality, anonymity, indepe
ndence of dominated candidates, and reinforcement. The rule is known a
s plurality rule: It elects the candidates that are ranked first by th
e largest number of voters. (C) 1996 Academic Press, Inc.