Mr. Cretney wrote--

All methods will have some results that are counter-intuitive, at
least to some people.  You can always construct an argument by
claiming that if the public sees such and such a result, they will
revolt, causing chaos, horror, and a bloody purge of election method
theorists.  The reality is that the current electoral process gives
frequent counter-intuitive results, and there isn't the slightest hint
of revolution (at least not from that).
---
D- ALL single winner methods have problems with 3 or more choices.

See Mr. Arrow's observations.

The current electoral process in the U.S.A. (i.e. Plurality) produces lots of 
insincere voting and/or a number of minority rule winners (especially for 
legislative body gerrymander district elections).

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