I would deffinatly not go with the i3 build if you want the build for gaming.
my reasons are becuase, the i3 only has 2 actual cores and 2 hyperthreaded cores. therfore, games that come out in 2011/2012 will take more advantage of 4 cores.
however, I would consider spreading the cost a little more and getting an i5, or simply getting an x4 AMD.