If you've seen reddit then you've likely see that down voting can be just as bad. In fact it can be worse. If you get people starting to down vote anything they don't agree with or dislike, or that they are angry because someone else voted for that person's post then where does it stop?
In addition, you are not hurting the person that voted for that post at all. You are hurting the person that received the vote. This is no solution. You'll get blowback and it'll just spin out of control and people retaliating against perceived injustice.
When in reality there are some simple questions:
When someone else receives a vote, how does that hurt you or me? It's not like I had taxes taken against my will, I didn't pay anything. It actually has ZERO impact on you and I other than making the trending page pretty useless. Since you don't get curator rewards for stuff on the trending page it is better to hang out in NEW and HOT anyway.
No anyone receiving a vote truly hurts no one. They are not taking from you and redistributing it to someone else. That doesn't exist here.
In the world of taxation and taking your money without your consent and then redistributing it to people you'd be spot on. That isn't possible in this environment.
In fact even any perceived cronyism is NO big deal as it has ZERO impact on you or I. (again unlike taxation and regular money)
It does however have the potential of gradually elevating people who might like some of the stuff you and I post and their vote will suddenly be worth more than the $0.01 my vote is currently worth. As you and I gain power our vote will be worth more and I'll only be voting for things I like. If you do as well, and so do other people then it will work out. It is just WAY WAY early in the life of this and it hasn't had a chance to spread out yet. That doesn't mean it doesn't have problems. I just don't see ANY cases where down voting will be a solution with the exception of addressing spam, plagiarism, and abusive/offensive posts with no warning.
No reason to attack people's post because someone else voted for them.