Linear algebra applied to poker? - Poker Theory

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Linear algebra applied to poker?

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11-20-2013 , 08:51 PM

twohaha

stranger

Join Date: Nov 2013 Posts: 1

Does any have any ideas on how to apply linear algebra to poker? I.e:
Systems of equations (ev equations for a bet, call, fold or raise)?
Graph theory? Markov chains? Anything else?

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11-20-2013 , 11:41 PM

RustyBrooks

Carpal \'Tunnel

Join Date: Feb 2006 Posts: 24,647

Way way too vague of a question. Don't start with a method, start with a problem you want to solve, and see what methods work on it.

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11-21-2013 , 12:40 AM

Forrest Gump

journeyman

Join Date: Jul 2006 Posts: 229

Probabbly if you want to see the game with a finite deck and fixed limit betting. For example you can write a (2^13)*(13) matrix with all the game lines for each of the 13 cards you'll receive in 2-7 drawing 1, where a file is a 13*1 vector representing a strategy. For example (1 1 1 1 1 1 1 1 1 1 1 0 0 0), means you bet any 2-J, but you check with Q, K and A
Then you can create something with thoose vectors and compare vs other strategy to calculate EV's and such. Just an idea.

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11-21-2013 , 07:58 AM

SchDonk

old hand

Join Date: Jul 2013 Posts: 1,610

Yeah, I usually apply a random graph to my decision-making process, then invert this graph, then solve this graph, then make my decision. Ez game!
When I'm lazy though I construct a random vector space, apply it to my decision-making process, solve the vector space, then make a decision. So ****ing easy!

PS: I also solve the determinant of the whole ****ing vector space which is multilinear, but nonetheless very useful. Just to make sure.

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11-23-2013 , 02:54 AM

TheGodson

veteran

Join Date: Mar 2013 Posts: 3,068

Here are some equations to get you started:
Bet/(Bet+Pot) = % of folds needed to break even.
Call size/Pot = % of the times you need to win in order to call profitably (applies primarily toward rivers)

@SchDonk: The answer is not in the box... It's in the band.

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11-26-2013 , 07:32 PM

thesilverbail

old hand

Join Date: Aug 2009 Posts: 1,659

linear algebra is necessary to prove the existence of nash equilibrium.

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12-09-2013 , 05:29 PM

mosconiac

enthusiast

Join Date: Sep 2010 Posts: 65

I've spent the last 24 months working on a method for applying Maxwell's Equations to poker, but I'm finding it difficult to find a table full of people that are willing to cap their cards with the necessary Cerium Oxide wafers. Without the wafers, I can't get the proper quantum EM coupling to read the value of their cards. WTF is wrong with these people!

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06-23-2020 , 01:04 AM

Kalidou

stranger

Join Date: Jun 2020 Posts: 1

I read in a really good book, I forget the name that linear algebra may bé used in poker for example if you have been playing with the same kind players for some Time, you can use it to your advantage to bully bad players out.

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