UPDATE:
I just tried a second time and now all is fine: my iMac if finally with 10.13.3
Here is my suspicion:
— The first time a clicked on the “Update all” in my App Store / Updates section, the process started with an IMMEDIATE restart. And then all the typical upgrade black screens & auto-restarts. But i finally ended with the same 10.13.2 sytem (and the same “Update Available” option in the App Store
— The second time was different: I saw first a download process (a few minutes) and then, yest, the automatic restart and update process.
This second process ended with a white screen where Apple answer to accept to share analytics and that stuff (I always press “Yes”). The first time I didn’t saw that.
My suspiction: since the first time the machine restarted immediately, I suposse that, maybe, the upgrade packaged was already downloaded in my machine since some days ago (I prefer to waith some days to upgrade). And, maybe, that first package contained some “bad” part (just guessing here, of course…).
The second try started with a download of a “fresh” updater, which, maybe Apple has fixed on a later time?
Obviously, I have no idea about what was really behing that first fail… Anyway I’m happy that my computer is finally updated :-)