TITLE Comparative survey of multiwinner election methods AUTHOR Warren D. Smith ABSTRACT After $\approx 100$ years of relative sterility, recent progress has both invented several new multiwinner voting systems, and allowed us to begin to judge which of them is the best. We define and compare them here and come to the tentative conclusion that W.D.Smith's unconventional ``asset voting'' system is the best multiwinner election system known, and can be argued, for fundamental reasons, to be unmatchable by any conventional voting system.