I think this has more to do with our "drive(s)".
Scientifically, the more, as they call it in here, "alpha" a man is, the more is his drive to increase his mating pool. And that is inherent, it's a part of your nature. Now, would you fight against it? That's not going to help much, and it's not recommended either.
It is manageable though, you would just have to channel this sexual drive out through other means. If you're familiar with the Freudian concept of "Sublimation", you will have an idea of what I am talking of.
Here's a link towards what I'm talking of :
http://en.wikipedia.org/wiki/Sublimation_(psychology)
At the end of the day, you will have to accept your nature for what it is, and then make a decision that would be beneficial for all the parties involved.
Also, there is no such thing as "relationship game", "dating game" or such, do not buy into such gimmicks. As soon as you attach the "game" to anything, it becomes a trivial matter, something that you can 'play' with. And we know that relationships, dating or the like are not matters that can be trifled with. Give them their due importance and you'll navigate the waters easily.
Good luck.