Suppose we have a non zero wheel with fair payouts. There are 3 players playing the exact same bet selection, only using different progressions. Who will fair better in the longrun?

All 3 player bet on the same 5 numbers

Player 1 flatbets 1 unit on 5 different numbers

Player 2 - bets 1 unit on 5 numbers. If bankroll drops under original amount, he flatbets. If bankroll goes up in profit he raises wager by 1 unit for every 100 units in profit. (Ex. Profit is at 100 units raise wager to 2 units per number..profit at 200 units, raise wager to 3 units per number). If at anytime profit decreases, also decrease wagers accordingly.

Player 3 - does the exact opposite as player 2. He only flatbets when above original bankroll. If below original bankroll, he increases wagers just like player 2, following the same rules.

So, all 3 players have the same bet selection. Just using different progressions. Player 1 is flat betting so he is the control group. Player 1 will end his session when he wins 500 units, or he loses 500 units. When Player 1 session ends, everyone's session ends.

Who will fair better in this example? The longterm expectation for flatbetting is 50%. So, player 1 should win 50% of the time and break even in the long run. Player 2 will also win 50% of the time, but wins should be greater since he's using a positive progression...his losses should be equal to flatbetting. Player 3's wins should be equal to flatbetting, but his losses should be much greater.