Panasonic G2 has a
12.0MP Four Thirds (17.3 x 13 mm ) sized CMOS sensor and features Venus Engine HD II processor. On the other hand, Olympus E-M10 III has a
16.0MP Four Thirds (17.4 x 13 mm ) sized CMOS sensor and features TruePic VIII processor.
Below you can see the G2 and E-M10 III sensor size comparison.
Sensor Size and Resolution Comparison image of Panasonic G2 and Olympus E-M10 III Cameras
Panasonic G2 and Olympus E-M10 III 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.
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
Panasonic G2
or the
Olympus E-M10 III ,
including hyperfocal distance.