Re:Choose the smallest number not chosen yet
by LodeOfCode on Thursday September 29, 2022 @12:58PM
(#33023587)
Because then defecting is optimal: if the other players follow through, you win ~100% of the time by picking 1.
The point of the equilibrium is that even if your respective strategies are public knowledge, nobody can benefit from changing theirs
If we can assign strategies (but no coordination) to other players, then how about having every player generate a uniform random 64-bit number.
Given the low chances of collision with this setup, this will result in a 1/3 chance of winning which is higher than the 0.296 chance given in the article.