Considering the undecided is somewhere between 1-2% of the nation, a convention isn't going to sway a large fraction of the votes (it can certainly decide things, but don't kid yourself - most people are set on who they are going to vote if they even vote, not to mention not everyone watches the conventions)
And FWIW, whenver a candidate goes through primaries, they are generally more to the extremes of the political spectrum. Why? Because often times the people who actually bother to go out to vote are those who are more extreme on the spectrum themselves.
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