Really, ever since the good days of the Athlon 64, Intel's been competing with itself. AMD competes in the low-budget market, and does a decent job there, but when it comes to serious computing they can't hold a candle to Intel. But this is irrelevant - AMD's never really threatened Intel's market share. What Intel really has to worry about is ARM, which it has not yet come up with anything equivalent to in terms of performance per watt.
Graphics-wise, they're doing better. I think Nvidia's decision to ignore GPGPU with the 6xx series is shortsighted. While it may give them more profits now, GPUs are becoming less and less necessary for gaming, with integrated graphics continuing to improve. Nvidia can't come close to AMD in GPU compute performance, and I suspect that will begin to matter more in the coming years.
That was convoluted, but my point is that a monopoly is unlikely. Desktops are losing popularity in all but serious computing environments, and in those AMD has an advantage GPU-wise. That financial report isn't positive by any means, but it also includes a good amount of one-time costs and such. It's not yet time to doomsay.