How would you call a fake choice, something that looks like you can choose but you can’t really? (No I don’t mean “dilemma”.)
A bit like when you ask your kid if he wants broccoli or kale.
I’m looking for that word 
Ugh! Twitter Synchronicity. I was looking for the same thing earlier. Something something false agency something control exploit. (My example collapsed it a bit more though: a person with a gun to their head "chooses" to comply with demands of the person holding the gun.)