 There is  a technical issue that is important to keep in mind regarding  	the above definitions of the multi-stage voting methods.  When  identifying  	the poorly performing candidates in each round, there may be ties (i.e., there  may  be more than one candidate with the lowest plurality  score or more  than one candidate ranked last by the most voters).  In the above definitions, I assume that all of the poorly  performing candidates will be removed in each round.   An alternative approach would use a tie-breaking rule to select one of the poorly performing candidates to be removed at each round.     