Onus :
If you go over benchmarks and associated articles for the past few years, for the money, Intel beats AMD every time. BUT... The differences are smaller in actual use than some benchmarks suggest; there will always be confounding factors. Also, on a set budget, if an AMD CPU+mobo are cheaper than their Intel counterparts, that money might be better spend on a stronger graphics card. For most games, a [weak] AMD CPU paired with a $200 graphics card will outperform a [stronger] Intel CPU paired with a $150 graphics card; for a strict gamer, AMD may make more sense, especially if adding a stronger card later seems unlikely. For myself, I won't build a new system unless I have the budget to get what I want out of it, and that's going to mean an Intel CPU especially since I don't just play games, and none of my games are super-demanding. That said, I notice no compelling difference between my FX-8320 and i5-3570K in daily use.
It is also worth noting that the Intel system will use less power and run cooler while offering equivalent or better performance, but again the differences are not huge and may not matter.
Disclaimer: AMD fanboy since built first pc with 800Mhz Athlon in Jr high more than a decade ago... I still think the data will prove that on at tight budget, phenom or Athlon with L3 cache + good mobo + money saved on CPU added towards great GPU is a great way to go. In a yr or two when AMD offers a real improvement (I am on the fence about whether the fx series, which I currently use, is really a significant improvement over their phenoms) plug that in the same mobo with the same GPU, and you should be good to continue playing most somehwhat intensive games at mid-range quality for another couple years. If I could do it over again, I would do this.
OP, if still deciding, I disagree with this statement. For 3D rendering and gaming, AMD beats Intel
per dollar. There really is data supporting this (see below) this, unless by "for the money" you mean that you have lots of money (and that's not a bad thing, Intel is king at the high end for everything and for general computational, that is pretty unequivocally supported by data.)
Here's probably one of the most used benchmarks:
http://www.futuremark.com/hardware/cpu
Note that the fx series is higher value per performance (3D physics rendering, so basically gaming). I would also add that AMD compatible motherboards and other items will be typically cheaper. I would add that AMD can get some increased performance from overclocking for not that much more $$ for unlocked processors. Intel really cranks up the cost for the K versions. Finally, I would strongly suggest you look at FPS for the particular games you want to play. It may sound trifle, but, for example, Crysis 3 you see a huuuge boost from a 6 core fx over the 4 core, and it is really one of a few games that really takes advantage of the extra 2 cores. If you are really tight on budget, check out some of the older AMD's like the phenoms that still have an L3 cache. You will see that the performance against the newer fx series is really trifling in many benchmarks. It's kind of surprising.
All of this being said. Intel is a safe choice if it's going to be your main machine and you have the money. But if you are on a budget, you can save some money with an AMD and throw it at the GPU, for gaming I think you would be well served IMHO...