There are two reasons why some women will ask this of you. The first reason is that she wants to limit the amount of men she is having sex with. If she gets you to agree to this, she is now more comfortable having sex with you on a long term basis. The second reason is due to her not wanting to complete against the other women in your life. When a woman asks you to exclusively date her, it should be a clear message to you that she doesn’t want to complete against the other women.
Having a car, your own place, an interesting lifestyle, and a good job that pays you good goes a long way in the dating market. So if you are a man who she deems successful and valuable, she is going to try to get you off the dating market as quickly as she can. So remember kings, women asking to exclusively date them is something you shouldn’t agree too.
You should never let a woman set the rules and terms for how you want to date her. When you are someone who is deemed valuable, some women will try this so they can get you off the dating market. You want a woman who isn’t afraid of the competition and has confidence that you will ultimately choose to be with her.