[EM] DMC and 2-party domination

Warren Smith wds at math.temple.edu
Mon Aug 29 14:21:18 PDT 2005


I suspect DMC will lead to 2-party domination.

See
http://math.temple.edu/~wds/crv/IncentToExagg.html

and consider this same example under DMC.
If the top-1, top-2, none, or all-3 of
the candidates are approved by all (I do not care which,
so long as you are consistent about it)
then B wins.  

The six C>A>B voters realize that honesty does not pay
and instead change their vote to A>C>B betraying their
favorite (3rd party) candidate C.  This causes A to win,
regardless of who approves what (sicne A is a condorcet winner).

MORAL: exaggeration pays in DMC... and the further reasoning reachable
by clinking on the hyperlinks suggests to me that 2-party domination
will happen under DMC voting.

Now it has been suggested to me by Adam Tarr that Conodrcet method that
allow equality rankings and that also use winnig votes not margins,
can avoid the 2-party domination trap.   So I suggest to Jobst Heitzig
that he propose a DMC variant that does those things...   
what precisely should it be?  And then we can ask what happens
to 2-party dominance under (new)DMC.
(If new-DMC actually exists.  I have not thought about it.)



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