I would like to see if it's allowed to have people downvote my own post for arbitrary reasons. Is this allowed?
Will I get banned for requesting downvotes on my own posts??
Requesting votes (up or down) on any post is not in the spirit of their purpose. Users should vote based on the content of the post alone. And they should not use a user profile to find posts to vote on. Targeting users is by all means a serious offense and those repeatedly involved with it will face consequences.
Votes don't need to be requested. The quality of a post will invite users to use their votes which is much more healthy way to make sure good content can float to the top. Artificially, by social pressure or other means, attracting voters and have them cast votes is hurting the community and the overall trust visitors will have in the content they find on the site.