This strategy fails because multiple winners would split the jackpot. If one billionaire sees a positive return in buying up the entire probability space to ge

This strategy fails because multiple winners would split the jackpot. If one billionaire sees a positive return in buying up the entire probability space to get the jackpot, he must assume that another billionaire would also come to the same conclusion. No player can assume they're the only one applying the strategy; they each must assume the jackpot will split until a ticket is no longer positive value.