You have some type of malware or rogue extension on your device. I would look into that...
(Also it's rogue, not rouge.)
Common sense would dictate that Google would NOT be selling AdWords that would replace THEIR own ad for the top search result for their own products.
EDIT: Wait, you are talking about Duck Duck Go? This thread is about Google.com NOT DDG. Regardless, I get Google's official site at the top with DDG.
Oops forgot the side ads, I also get an ad from apps-2016.com.
I am searching from Canada.