persuasion
The act of convincing someone to agree or do something.
Persuasion is the act of convincing someone to believe something or do something through reasoning, explanation, or appeal. When you use persuasion, you're trying to change someone's mind or get them to agree with you, not by forcing them but by helping them see things your way.
Imagine trying to persuade your parents to let you get a pet. You might explain how responsible you've become, describe how you'll care for the animal, and address their concerns about mess or expense. You're using persuasion: presenting reasons and evidence to help them reach the decision you want. A lawyer uses persuasion in the courtroom to convince a jury. An advertisement uses persuasion to make you want a product.
The key to persuasion is understanding what matters to your audience. Good persuasion respects the other person's intelligence and concerns. It's not manipulation or trickery. If you want to persuade your teacher to give the class more time on a project, you need reasons that make sense from your teacher's perspective: maybe the whole class is struggling, or the project is more complex than expected.
The related adjective is persuasive. Someone with persuasive arguments makes points that are hard to disagree with. When you're persuasive, people listen because what you're saying actually makes sense to them.