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Never played Diplomacy but always wanted to. A friend who had played and said it was brilliant refused to play it with us 'incase it got out of hand'. That obviously made us want to play it even more. Another very tense and very stressful game is Twilight Struggle. Absolutely loved that.
I take it it's not a Friday night BLAM game then?
Only then did we discover that for over four hours of play the Germans had convinced BOTH big alliances that he was a loyal member. We had to give him the honours of the day. He was a Diplomat.
Seriously though, given that the most common wargame bar none (Chess) has no dice, I think with enough cunning it is entirely possible...As for the OP, I have no idea...