@mrxak, on Aug 15 2007, 12:15 PM, said in Global Thermonuclear War:
As for trying to avoid lynching somebody the first day, that just gives the evil dictators an advantage. The odds of an intelligence agent actually hitting an evil dictator is slim, and meanwhile they've killed off one of us. Is that what you really want, mister dictator?
This is how the game would progress if we lynched one person each day, assuming no dictators are lynched. (Numbers being what is left at the end of that stage, after dictators kill or town lynches.)
D1: 5 towns / 2 dictators.
N1: 4 towns / 2 dictators.
D2: 3 towns / 2 dictators.
N2: 2 towns / 2 dictators.
D3: Town/Dictators tie when voting for a lynch. No one is lynched.
N3: 1 town / 2 dictators.
D4: Dictators lynch last town. Dictators win.
or, if we voted no lynch on D1:
D1: Town votes no lynch. 6 town / 2 dictator.
N1: 5 towns / 2 dictator.
D2: 4 towns / 2 dictator.
N2: 3 towns / 2 dictator.
D3: 2 towns / 2 dictators.
N3: 1 town / 2 dictators.
D4: Dictators lynch the last town. Dictators win.
In the first example, we only lynch someone on days 1 and 2. The intelligence agent gets to investigate nights 1, 2, and 3 but his investigation on nights 2 and 3 don't do any good since there isn't a lynch day 3, and on night 3 the town loses.
In the second example, we only lynch someone on days 2 and 3. The intelligence agent gets to investigate nights 1, 2, and 3. Investigation on N3 doesn't do any good since town loses on D4. Even then, the town gets an extra day for discussion.
As far as I can tell, there is no advantage to the dictators. The town gets an extra day for discussion and the intelligence agent now has two chances for investigation.
And it's not all that unlikely for the IA to hit a dictator. On the first night, if we don't lynch anyone during day 1, there will be 7 other people besides himself to choose from, so a 2 in 7 chance (28.57%) of hitting a dictator. On the second night, after a kill during night 1 and a lynch during day 2, there will be 5 people remaining, and if the person he already investigated is still alive, there is a 2 in 4 chance of hitting someone (50+28.57=78.57% chance over the two nights).