Worst yet found out about the USA (Maryland state) IRV (Instant Runoff Vote) method. A new finding is that with the Alternative Vote, if candidate A is winning with only about 1/2 of the votes in, then on adding the other half, with ALL but 2 papers naming candidate A using only a 1st preference, then candidate A switches from winning into losing even though nearly unanimously supported. The 11 candidate election showin that (i.e. amplified cascading): http://groups.yahoo.com/group/single-transferable-vote/message/245 [“Losing if a 49.9%…\ middots added; Cumulative Vote”, 19-Jul-2003]
Good methods don’t do that of course, and methods designed by man (excluding CVD staff here) should do better with the 1st preference hopefully. Some comments for the above URL are in the message before the previous.
I am unsure about this next. Montonicity is a rules that is maybe public or popular but it simply produces unnecessary complexity in arguments carefully using it. Better is to have monotonicity make its statement with trailing preferences scrambled in any way.