There's a word which comes close - persuasion.
Definitions from Cambridge Dictionary:
persuasion noun (CHANGING IDEAS)
the action of persuading someone or of being persuaded:
It took a lot of persuasion to convince the committee of the
advantages of the new plan.
She will help you - she just needs a little gentle persuasion.
The occasion will be a test of the senator's powers of persuasion (=
his ability to persuade people).
persuade
verb to make someone do or believe something by giving them a good reason to do it or by talking to that person and making them believe
it:
If she doesn't want to go, nothing you can say will persuade her.
[ +
(that) ] It's no use trying to persuade him (that) you're innocent.
[ + to infinitive ] He is trying to persuade local and foreign
businesses to invest in the project.
Note: It appears that this answer clashes with the one submitted by Richard Kayser apparently seconds before this one. I am letting it be, with this disclaimer.