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Zangeeph wrote:Why use Monte Carlo simulations?
Zangeeph wrote:In the worse case scenario there would be two opponents all in pre flop (including hero) so that there are 48 unknown cards. With 5 cards to come, that's 48 choose 5 = 1,712,304 possible outcomes. That's a small number especially when there are open source hand evaluators than can do 142,779,680 hands per second. So perhaps you should be enumerating all possibilities.
Zangeeph wrote:Plus, there's no random number generation so the hands per second would be greater than when using monte carlo. How many simulations are you using for the monte carlo calculations? If it's more than 1,712,304 I will be disappointed.
Zangeeph wrote:Monte carlo should only really be used preflop when it's range vs range - having a large range of hands dramatically increases the number of possible outcomes. In PT4, there are absolutely no range vs range calculations when it comes to calculating EV or luck adjusted winnings.
Zangeeph wrote:There should be no difference in the result of the calculation. The algorithms should be calculating the same thing. Just as I'd expect my bb/100 to be the same in HEM as in PT4, my luck adjusted winnings should be the same.
Coming up with a novel way to do luck adjusted calculations is certainly not trivial. You would need to be an incredibly good mathematician to do so. If you really do believe that you have a superior algorithm, please do publish your findings. It's really quite necessary that you do this - it would be a worthless statistic without knowing its exact calculations. You can see that HEMs luck adjusted line comes under a lot of scrutiny (as shown by the 1000+ post topic on 2+2), don't expect any less scrutiny for your method.
Yogi Rob wrote:Zangeeph wrote:In the worse case scenario there would be two opponents all in pre flop (including hero) so that there are 48 unknown cards. With 5 cards to come, that's 48 choose 5 = 1,712,304 possible outcomes. That's a small number especially when there are open source hand evaluators than can do 142,779,680 hands per second. So perhaps you should be enumerating all possibilities.
That 142M hps simulator is great but it uses a whopping 128M of memory.
The debate is mainly about which hands with side pots qualify for all-in EV. I am absolutely not an expert in math or statistics - but these decisions were made by some people who held in very high esteem in the poker community. If there is an obvious discrepancy between what we're doing and what HEM has we'll take a look. We might be able to explain it or if it's a bug on our side, we'll fix it.
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