A 100% bet dosen't maximize you long term expected value.

Let's define bankroll as all the money you will ever have to play this game. If you bet 100% each time, you would maxmize you EV for this one trial. However if you lose, you will never gain 1 cent in EV from this game again. Even if you win the first bet, do you then bet 100% of your bankroll again. If you do, you will go broke at sometime.

This is a solved problem. You will maximize your long term EV by betting according to the Kelly Criterion. Remember that this is a game with a built in advantage. You want to keep playing the game the rest of your life. The sum of the EV's for each of these indivdual bets will be much greater than any other betting system.

This would be like putting everything you own on the line with AA in poker or in a high count situation in Blackjack. If you contiune to do this, you will go broke.