questio about a future relationship possibly?

so me and this girl have been talking for a few weeks, but since we are both in college she and i went home for the christmas break. we agreed that we would nt date till after the holidays were over and we started school again in january. i thought i had her on lock down, but she told me today that she was also talking to this guy and said she kinda wanted us to fight over her, not physical fight but she wanted us each to take her on a few dates so she could decide who she trully liked and be fair to herself and us. I was pissed, but i told her no problem. i am a very confident guy and im sure i could win, but i kind of find it insulting that i have to do all of this for her, when i could just as easily find another girl that im like, or at least i think i can. I like the girl, but should really have to but forward the effort to compete for her, i thought i already did that before the semester ended for about 2 weeks, we went out like 5 times to get to know each other, so what do i do? forget about and lay low for a while an play like im hard to get, or keep communicating with her like a have been over the break? Do i even try to compete with this guy over her, because i thinkit i s stupid personally, what would everyone else do in my shoes?