Since the law already provides a means of resolving ties, I'm thinking about withdrawing this amendment. We saw that an agreement was reached between the two candidates after the Supreme Court declared a tied election, and I'm basically comfortable with that as long as it doesn't violate the Constitution.
I have no problem with the sort of arrangement that was negotiated here. Requiring the House to vote on who becomes the President in the case of a tie seems like it would harm the system of checks and balances by potentially creating an executive that is behold to the legislature.