Looking at the advantages, the 7800xt has:
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10% lower price
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4 more gigs of vram
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6% better raster performance.
The 4070 has:
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Better frame gen
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Better upscaling via dlss
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Better drivers
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Better rt performance
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CUDA for the few people that actually need it.
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Better power efficiency.
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The ability to use both dlss and fsr. If a game just has dlss, amd users are screwed.
All in all I think the AMD card is still the underdog based in advantages and needs to be at least 15% cheaper in order to sway buyers to team red. For just a $50 price difference, the team green advantages are too stacked imo.
Edit: this is of course in the US market. Every market is different.
If the 7800 XT is already selling well as expected, I don’t see why AMD should feel pressured by the price drop.
It is good to see 2 decent cards being extremely competitive atm, unlike the 6700 XT which literally wiped the floor at $320/330 against the likes of RTX 3060/Ti and even 3070.