You don't have to ignore him; simply let him know that he won't be able to get all of the attention he desires. Don't pay any attention to him. If you ignore his arrogance, he will forget about being superior when interacting with you. Prove the pompous person wrong about his superiority over others in everything. This will make him feel less important and diminish his self-esteem.
Arrogant people need to be taught some lessons. If you are dating such a person, try not to take it too personally. He is not trying to insult you, but rather show how awesome he is. Avoid giving him the opportunity to do so by ignoring him as much as possible. That way, he will realize that he can't get away with being rude.
If your boyfriend is arrogant, he needs to understand that he can't treat you like this and still expect you to love him. You must first and foremost care for yourself before thinking about anyone else. Give yourself time to heal from a relationship based on arrogance. It isn't fair to you or him.
As long as he isn't hurting you physically or otherwise causing harm, then there is no reason to break up with him. If he shows signs of changing his demeanor toward you, then perhaps it's time to consider rekindling your romance with each other.
What to do if he disregards you:
How to Deal with an Unattractive Man
I'll teach you how to get to the point where, instead of wondering, "Why is he ignoring me?" you'll be thinking, "He's head over heels in love with me!" Relationships are seldom uncomplicated, especially in the initial few months. Don't worry if things seem a little complicated right now; it will all become clear soon enough.
If your boyfriend has been ignoring you for a long time, don't take it personally. He might not be able to handle the intensity of your feelings at first, or he could be afraid that if he talks to you then you'll just leave him. Whatever the case may be, once you understand his reasons, you can work on improving your relationship.
Start by taking a step back. Ignore what you want to say to him and focus on something else for a while. This will help you collect your thoughts and avoid saying something you'll regret later. Then, write down everything that's on your mind, without judging yourself for being honest.
Be patient. A new relationship takes time to develop, just like any other project in life. Give it some breathing space and don't expect instant results. After all, this isn't one of those movies where the boy sees you cry and then comes running back immediately!
Try talking to him about anything other than why he's ignoring you.
How to Get Your Boyfriend's Attention and Increase His Desire for You
How to Deal with a Difficult Boyfriend
Ignore everything they say or do, and they will most likely quit pestering you eventually. Be truthful. If this doesn't work and the arrogant person continues to irritate you, tell them that you believe they are being arrogant and express your true feelings. Hopefully, they will take their attitude down a few notches once they realize what they're doing to you.
The only way to deal with someone who is both cocky and arrogant is to ignore them. It may be difficult at first, but as soon as they get in your face, you have officially let them go too far. They will most likely back off after that since they know there's nothing good coming from arguing with you. If, however, they continue to be rude then tell them how you feel. Maybe they won't change right away, but at least they'll know why you had enough of them.