[EM] DH3 pathology
Warren Smith
wds at math.temple.edu
Sun Aug 27 13:06:48 PDT 2006
>Doesn't this at least partially depend on the presence of a Condorcet cycle?
I note one as being present in your various examples.
--Allen Smith
--reply by WDS
no. My main DH3 example had no cycle. However, some of the voters
wished to try to create a scenario without a Condorcet winner (i.e.
with cycle) by means of strategic voting. But if all the voters acted that way
rather than just some, we got a non-cyclic situation again with
the worst candidate as Condorcet winner.
So, while some thinking about cycles was involved inside voter heads
I suppose you could say (although in fact I think they'd vote that
way even if they'd never heard of a Condorcet cycle - often)
there were no cycles before stratgeic voting, and none after it either.
The examples I am talking about are at
http://RangeVoting.org/WinningVotes.html
see the part on DH3 especially.
Warren D Smith
http://RangeVoting.org
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