Originally posted by tomyamkung
Hi, is it possible to explain how FGS work? Thanks.
Essentially, FGS is an advanced calculation to improve the equity estimates given by ICM by simulating play of the following hands. This is very useful for hand setups with a high bubble factor or when small stacks are at the table, especially if those short stacks are about to hit the blinds.
The basic functionality is relatively straightforward:
In a normal ICM calculation we plug-in ICM equities whenever reaching an end node in the current hand.
In a FGS calculation with depth 1, instead of using ICM equities, we create a new simulated hand that starts with the stacks of the end node of the original hand. We now do a normal ICM Nash calculation for this simulated hand and then use the calculated "EQPost" values as equities for the end node in the original hand. EQPost is the average equity for each player after the hand, assuming all players use the assigned strategies. If you have e.g. 100 different possible outcomes for the current hand for the various lines, then FGS-1 will carry out 100 calculations of follow-up hands and effectively use equities AFTER the next hand is played out.
Deeper simulations simply use recursion. For FGS depth 2, a FGS depth 1 calculation is done for every end node of the original hand. So, FGS-2 is then simulating two hands deep into future play, etc.