Why do men play games?

not a man thing.
I simply walk away if unhappy. It's all unnecessary.

Healthy relationships need two healthy people, you can't just fix it in a one-sided manner.

This is a people thing and there could be many reasons driving it but it boils down to one fact, they're not invested in you as you're in them.
If you feel your needs are not being met or respected even after communication, it's best to walk away.

Women are the same.
Just don't chase after him and reinforce that behavior.

Men and women are both capable of playing games. As for a reason for his behaviour, you may need to look into his past. Reasons could be anything simple from a desire to be chased (abandonment or ego) or commitment issues (take your pick of fears and childhood traumas, could even be a lack of maturity). More complicated, and perhaps more worrying, would be a need to exert some come of influence by withholding ‘affection’ or a need to hold a dominant position within the relationship

Respect and mutual caring have to be the heart of any relationship. Once you learn to respect yourself its easier to demand respect from others. A fallacy that many people, especially women, have is that you can change your partner's faults. Unless he or she wants to make changes it won't work.
So move on and work on your own self esteem and self worth before you jump into a new relationship.

Maybe it time for you take control of him is that an option ?

I like chess.

Some men...