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Three-way rollout

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07-13-2009 , 07:55 AM

molotom

journeyman

Join Date: Mar 2007 Posts: 343

I am seeking a list of the preflop equities in all possible 3-handed matchups (disregarding suits)
eg
KK / QQ / A2s = 54% / 17% / 28%

I know such a list exists for 2-way matchups:

http://www.pokerstove.com/analysis/preflopeq.php

If one does not exist, I would like to know if anyone would be interested in helping to calculate one.

169 starting hands , 3 players, the majority occuring 6 ways (eg aa/kk/22 ~ aa/22/kk) , so this gives

(169 ^ 3) / 6 =~ 800,000

Assuming each matchup is calculated in 5s this is 1000 hours of computation.

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07-13-2009 , 08:25 AM

XAmsterdamX

veteran

Join Date: Mar 2009 Posts: 2,104

Even if you have the time to create such list, how are you going to present these 800,000 combinations?

What exactly is the purpose of this list? Maybe you/we can think of a way to get you the same 'tool' without the work.

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07-13-2009 , 08:33 AM

jd_poker

Pooh-Bah

Join Date: Aug 2005 Posts: 3,760

You could probably start by simply doing the 3-way equities for the top 15-20% of hands and greatly simplify your tables whilst retaining usefulness.

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07-13-2009 , 08:39 AM

XAmsterdamX

veteran

Join Date: Mar 2009 Posts: 2,104

Quote:

Originally Posted by jd_poker

You could probably start by simply doing the 3-way equities for the top 15-20% of hands and greatly simplify your tables whilst retaining usefulness.

Or split the hands up in groups and calculate equities between these groups (roughly).

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07-15-2009 , 09:56 AM

molotom

journeyman

Join Date: Mar 2007 Posts: 343

The purpose of this list is for using fictitious play to find strong strategies for multiplayer jam-or-fold games. The table would be loaded into memory and used in computation (millions/lookups per second). Four-way all-ins will have to be dealt with differently, but its still possible to calculate this 3-way table

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