ABSTRACT

This chapter is concerned with vote processing rules for selecting more than one candidate when candidates have predetermined weights and do not have identifiable locations in a continuum. The kind of vote-processing rule that is attractive in these circumstances depends on the goal of a collective decision. If the goal is to identify the objectively best set of candidates (as with disinterested judges selecting the members of a debating team) then it is sensible to have voters rank the candidates and either:

a. process the rankings by one of the rules discussed in Chapter 13 that generates an overall ranking (such as the ranked pairs rule) and select the candidates that are ranked highest in that overall ranking, or

b. process the rankings by one of the rules discussed in Chapter 13 that generates a top candidate (such as the maximin rule), select that candidate, delete all references to that candidate in the rankings, and then repeat the process of selecting the top candidate and deleting all references to that candidate until all positions have been filled.