How to get her
Do the third grade thing and tell her she's ugly. She'll be fall for it like a ton of bricks. And if you were to add hair pulling to that, she'd be putty in your hands.

Competition
Well, Akane has QUITE a fan club, actually (go figure!). Your main opponents are: Kuno (well, not really, cause she likes him aout as much as a mosquito bite, but he could become as annoying as one for you), Ryoga (this is a tricky one, she seems genuinely fond of him, but he's too shy to make a move and too noble to stand in your way if she likes you) and Ranma. RANMA is the one you have to worry about. The only advice I can give you is eat all her cooking with a smile, and constantly point out the fact that you're ALL man.

She likes you if...
She responds to your grade school tactics in kind and tells you she hates you. Also, she might cook for you (and may God be with you if she does).