Both Nikon A and Ricoh GR II have APS-C sized 16.0 MP resolution sensors so sensor size and resolution is not a differentiator between these two cameras.
Below you can see the A and GR II sensor size comparison.
Sensor Size and Resolution Comparison image of Nikon A and Ricoh GR II Cameras
Nikon A and Ricoh GR II have almost the same sensor size, so neither of them has any significant advantage over the other in terms of providing control over depth of field when used with the same focal length and aperture.
DxOMark Sensor Scores
At Camera Decision, we also look at Dxo Mark sensors when available as we think it is a good indicator of image quality.
Model
Overall
Color Depth
Dynamic Range
Low-light ISO
Nikon A
80
23.4 bits
13.8 Evs
1164 ISO
Ricoh GR II
80
23.6 bits
13.7 Evs
1078 ISO
Sensor size sets the circle of confusion, so it drives how much depth of field each
of these bodies gives you at a given aperture. You can calculate it exactly for the
Nikon A
or the
Ricoh GR II ,
including hyperfocal distance.