Martingale and linear bets +Martingale and geometric bets.
These are the final strategies in the book and a little more complicated than the others.
I have already looked at a linear x3 bet. This would be 1,2,3,4 increasing on a win and reverting back to 1 on a loss. Now I am going to add a martingale element to things. This could be a martingale x1, x2 or x3. I will show an example of the martingale x1 in conjunction with the linear bet.
Hand 1. Bet 1. win +1.
Hand 2. Bet 2. lose -1. (you are in linear mode here)
Hand 3. Bet 1. lose -2. (you are still in linear mode here but because you lost, you now switch to martingale mode)
Hand 4. Bet 2. lose -4. (now because it's only a martingale x1 strategy and I just lost, I need to revert back to the linear mode)
Hand 5. Bet 1. win -3.
Hand 6. Bet 2. win -1. (still in linear mode going up the x3 scale, this was the first step of x3)
Hand 7. Bet 3. win +2. (this was step two of the linear mode)
Hand 8. Bet 4. win +6. (this was step 3 of the x3 linear mode and now the linear mode gets reset)
The above small example was the linear x3 with mart x1. You can increase the martingale to x2 or x3.
Now let's look at the Martingale and geometric bets.
The geometric bet x3 was a let it ride 1,2,4,8 bet and reverting back to 1 on a loss. Now again, you can add a martingale x1, x2 or x3 into the mix.
Here is a example of the geometric x3 with the mart x1 in play.
Hand 1. Bet 1. lose -1. (you were in geometric mode here to begin with and now switch over to martingale mode.)
Hand 2. Bet 2. win +1. (That was a win on the mart x1 and now you reset and go back into geometric mode. A loss here would have put you back into geometric mode as well because you are only using mart x1.)
Working this out was a bit of a headscratcher and was the one letdown in the book because Koetsch explained the linear and geometric strategies earlier in the book along with the martingale and then just assumed you would be able to work out how to combine the linear and martingale as well as the geometric and martingale strategies. There was no real clear instructions for this.
I will say now that the favourite strategy of Koetsch was what he terms G3M1 for short. That's the allowing of any winning bet to ride three times (1,2,4,8) and betting two chips after losing any 1 chip bet. In other words, a geometric x3 with the mart x1 added on.
I will put up the final tables in the next post. Also I will do a few examples with the different strategies in action.