Does it have to be one of two choices or can there be multiple choices?
Off the top of my head I would say what You are talking about is "Persuasion" there are synonyms for that term such as "Coaxing" or the one You already used in your question "Nudging".
Magicians practice the subtle art of "Misdirection" and there was that Leonardo DiCaprio movie Inception, maybe the term you're seeking was used in it.
My personal favorite would be "Propaganda" or "Propagandization" which has been defined as the "deliberate, systematic attempt to shape perceptions, manipulate cognitions, and direct behavior to achieve a response that furthers the desired intent of the propagandist"
All of these terms should fall under the umbrella term of "Social Engineering" but sadly that term has had its meaning conscripted into a hacking technique as far as modern search engines are concerned.
I'm sure there are other words, I hope You find the one you're looking for, I know how it feels when You can't find the words You know, You knew!
Good luck
