The correct answer is A. incite.
To dissuade someone is to discourage them from doing something. To incite someone is to encourage them to do something, especially something violent or dangerous.
B. persuade is to convince someone to do something. This is not the opposite of dissuade, because persuasion can be used to either encourage or discourage someone from doing something.
C. advise is to give someone advice. This is not the opposite of dissuade, because advice can be used to either encourage or discourage someone from doing something.
D. instigate is to start or cause something to happen. This is not the opposite of dissuade, because instigating something can be done either to encourage or discourage it from happening.