TITLE Reweighted range voting -- new multiwinner voting method AUTHOR Warren D. Smith ABSTRACT Reweighted range voting (RRV), a new multiwinner voting scheme, is defined and its main properties elucidated. Compared with good quality single transferable vote (STV) schemes, RRV is algorithmically simpler, grants voters greater expressivity (RRV votes are real vectors), is monotonic, and is less vulnerable to painful tied and near-tied elections. RRV also seems less ``chaotic'' than STV in its operation and seems to encourage voter honesty to a greater degree (although I have no precise definition of exactly what these things mean). RRV reduces to ``range voting,'' the experimentally best 1-winner scheme, in the 1-winner case. Like good quality STV schemes and my previous ``asset voting,'' RRV obeys a proportionality theorem and offers good immunity both to ``candidate cloning'' election-manipulation attempts, and to the ``wasted vote'' strategic problem that plagues 3-candidate plurality elections. We also reexamine some fundamental issues about multiwinner elections, such as ``why is proportionality a good thing?'' and ``what is the chance an STV election will be nonmonotonic?'' and we prove a new fundamental impossibility theorem. DATE 19 Sept 2004.