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.