Cheating in games is bad, of course...
...but it's also a fascinating tactical situation. Check out this presentation and article that Boingboing.net brings us
. Some military security educators presented their students with an impossible task (memorize 100 digits of pi overnight) and told them that the only way to pass the test was to cheat without getting caught. So students created interesting, creative ways to cheat at the test. (Inserting answers onto soda cans, course books, Powerpoint presentations or, in one case, bringing in a filled out test sheet ahead of time.
So then... could you make a game where the only way to succeed was to cheat? Could you make a roleplaying game where PCs only succeed by players cheating? You would need a robust system in place (so that the players have some noise to work with and lie about). But that system would ultimately need to be weighted against the PCs. Possibly the system would need to be something more than pass/fail in some way. This would give players some levers to push the game the way that they want.
Is this a terrible idea? I don't know. Maybe. In the wrong hands it might really damage people's trust for one another. Perhaps it's not functional as an actual game, but it might be an interesting thought experiment.
(Cheating as a game mechanic would also would be interestingly thematic for games about hackers or the like.)