A game of chance

[True Federalist (진정한 연방 주의자)]

V(G) = value of the game = ½V(T)+½V(H)
V(T) = value of tails = 1
V(H) = value of heads = 2V(G)

so

V(G) = 1 + V(G), hence V(G) must be ∞ or ±∞ depending on whether you prefer one infinity or two.