Strategy 1:You're always playing 9900x using a martingale sequence, i.e. your wager for each round is
ceiling((2 - PLAYER_BR)/9899,1e-8)
you run out of funds after 6861 bets. You lose all of them with a probability of
0.9999^6861 = 0.5035187605260536
or put differently you have a
49.64812% chance of winning.
I was hoping someone first provide simpler sequences (e.g. bet 0.5 at 3x, if lose bet the other 0.5 at 4x: which reduces the house edge to 0.835%), but looks like you might have nailed the ideal (?) betting sequence , with an effective house edge of 0.70376%.
If no one can beat this, you have a well-deserved 0.1 BTC coming your way