WARNING! SERIOUS POST COMING.
There are three styles of play in Paranoia. For each adventure, I will tell you the style.
Zap is anarchic slapstick with no claims to making sense and little effort at satire. Zap represents Paranoia as popularly understood: troubleshooters who open fire on each other with little to no provocation.
Classic is the atmosphere associated with the 2nd edition. While conflict inside of troubleshooter teams is common, it is less common and less frequently lethal.
Straight represents a relatively new style for Paranoia. Straight Paranoia is more serious and focuses more on dark, complex satire. In Straight Paranoia, players are punished for executing other characters without first filing evidence of the other character's treason.
Some further basic information can be found here:
http://en.wikipedia.org/wiki/Paranoia_(game)
I suggest reading this (just don't let the Computer find out, you traitor).