OK, for sure for Amiga, Deluxe seems the sequel, but more like a "DLC". Not so much improvement compared to first game.
PC version identical to Caesar Deluxe for Amiga is 1993 as reported by Manual that you can read here:
https://manualzz.com/doc/53681126/ga...r-owner-manual
In the bottom of document is indicated "1993 Sierra On-line"
i think that Caesar is released for Amiga and ST only. DOS version is the same version of Caesar Deluxe for Amiga.