Nikon D850 has a 46.0MP Full frame (35.9 x 23.9 mm ) sized BSI-CMOS sensor and features Expeed 5 processor. On the other hand, Sony A7R III has a 42.0MP Full frame (35.9 x 24 mm ) sized BSI-CMOS sensor and features Bionz X processor.
Another similarity between these two cameras is that both Sony A7R III and Nikon D850 sensors lack anti-alias (Low-Pass) filters. Removing anti-alias filter increases the sharpness and level of detail but at the same time, it increases the chance of moire occurring in certain scenes.
Below you can see the D850 and A7R III sensor size comparison.
Nikon D850 and Sony A7R III have almost the same sensor size so none of them has any significant advantage over other in providing control over depth of field when used with same focal length and aperture.