Cooperative Game
This is the game theory, but prime numbers are quite similar because of 2^N. This is complicated. Coalition is the maximum profits. Everybody should be happy, but you need to choose your partners. v is called characteristic function. N is finite players. This is dual game. ∀S⊆N S is opportunity cost which is excluded from N. However, this is subset. S=N Subgames is S≠N. This is S⊆N and S≠N. ∀T⊆S S seems to be isolated.