Vote Processing Rules for Selecting One Option from a Continuum of One or More Dimensions When Votes Have Predetermined Weights

There are two things about continuums that make vote-processing rules for choices from continuums different from vote-processing rules for choices from sets of discreet options: The number of options that can easily be compared is very large (potentially infinite), and there is generally reason to expect a particular structure for the preferences of voters. This chapter explores the consequences of these differences for vote-processing rules, first for choices from one-dimensional continuums and then for choices from continuums of two or more dimensions.