First one to break off the eye contact - looses. Whoever can hold longer - wins.
But don't think that you should be some kind of a weirdo now who looks woman in the eyes at all times without a break. This would look really strange. Remember however that one of the characteristics of an Alpha Male is that he never drops the eye contact first.
This is not just one or few people's opinion, it's actually verified by nature itself. Every herd has an Alfa Male which dominates other using eye contact. That's why when you look at a woman, she should be the first one to look elsewhere. If you can't hold focus on her eyes, choose a different part of her face.
This is very important because you make it clear at the very beginning that 'hey, here's someone who's not afraid of you, who's not intimidated by your beauty and who's not afraid to look at you'.
Most of the men will be intimidated when they notice that an attractive women is checking them out. Instead of looking back at her and smiling, you lower your head and think 'oh my god, she's looking at me... probably a bird pooped on me. Oh it's not that, so maybe I have something on my face' etc.
So remember: smile and never give up the eye contact first. Even if you feel like she's testing you. This happens from time to time. Women test men for example by just looking at them and not smiling. If this happens to you, simply raise an eyebrow as if you were asking 'what is it?'.
To try out dating games properly, you need to register on a dating site
and meet a beautiful woman as soon as possible.