Say that I wanted to convince a person that oranges tasted nice. One particular method I could use would be to go on an hour long spiel, where I take on two voices - a hyperbolic voice (which says that we should ONLY eat oranges every single day because they are LITERALLY the best tasting thing ever) and a rational voice (which is more subtle, gives reasonable arguments as to why oranges taste nice like 'they have high sugar content', and is generally less explosive)
After hearing the hyperbolic "WE SHOULD ONLY EAT ORANGES" message, which the person will probably immediately reject, it seems likely that the person will accept the more rational message that 'oranges taste pretty nice' as a compromise.
This might sound very vague, but I feel like I've read about this theory (in some form) a few years ago, I just can't remember what it's called? Is there a specific term in psychology for this effect, or does this make no sense?