"Weighted representative democracy"
(joint work with Arnold Soh)

Abstract :
We propose a new system of democratic representation. Any voter can
choose any legislator as her representative ; thus, different legislators
can represent different numbers of voters. Decisions in the legislature
are made by weighted majority voting, where the weight of each
legislator is determined both by the number of voters she represents,
and the level of confidence each of these voters expresses in her
judgement. We show that, if the size of the electorate is very large,
then with very high probability, the decisions obtained in the
legislature agree with those which would have been reached by a popular
referendum decided by simple majority vote.