Video Marketing on Multiple Sites?

I post to YouTube, but I am also considering posting the same videos to DailyMotion and Vimeo.

My reasoning is that some users may prefer other platforms and it could be easier to rank higher in video rankings on less popular streaming sites. A downside is having the same video appear multiple times on search engines.

Do you think it would be worthwhile to post YouTube uploads to DailyMotion and Vimeo? Would you upload to other video sites as well?