imagine being so lazy you have autocomplete write your manifesto.
>>15181
nice lil thing.
One interesting aspect of this is that the rules and outcomes of the game are 'common knowledge'. This means everyone knows it, everyone knows everyone knows it, et cetera. This is less intuitive than it appears, and lack of common knowledge changes the game substantially.
For example, suppose there is an island where the rule is that anyone with blue eyes must leave the night after they discover they have blue eyes. There are N many islanders, and all of them have blue eyes. However, there are no mirrors on the island, and nobody indicates to each other that they have blue eyes.
One day, an outsider comes to the island and announces, "at least one of you has blue eyes". At that moment, that information becomes common knowledge.
N days later, everyone in the island leaves on the same night. Why?