Some idea:
- Martingale with Fibonacci progression 1, 1, 2, 3, 5, 8, ... ;
Well i don't have impressive results.
Limit:
1000000
target:
2000000
How manny tests
10000
Casino lost with 0 gamblers out of 10000
No one was able to double portfolio while entering casino with 1 000 000 initial bet - with original martingale 27% gamblers beat casino.
How about lower limits?
Limit:
500
target:
1000
How manny tests
100000
Casino lost with 3460 gamblers out of 100000
Only 3,46% gamblers was able to double. With original martingale 39% gamblers beat casino.
That's because Fibonacci function grow too slow. Means that after 10 lost bets next bet will be 89. Total loss will be 232 what gives net loss. That way you are constantly going down with your wallet.