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Nash Equilibrium

  • 15-02-2010 2:18pm
    #1
    holdemfoldem
    Registered Users, Registered Users 2 Posts: 268 ✭✭


    Hi guys,

    Im looking for a formula or an explanation ( from which a formula could be made ) of the nash equilibrium in reference to multi player online poker. The is software that performs the function already but the formula / algorithm can't be found.. by me anyway;)

    I know its not a mathematical question in a sense but i thought this would be the best place to find someone who has an understanding of it.

    Many thanks


Comments

  • #2
    misslt
    Registered Users, Registered Users 2 Posts: 2,103 ✭✭✭misslt


    The Nash Equilibirum is the combination of strategies where each players strategy is their best one, given the other players strategies.


  • #3
    holdemfoldem
    Registered Users, Registered Users 2 Posts: 268 ✭✭holdemfoldem


    misslt wrote: »
    The Nash Equilibirum is the combination of strategies where each players strategy is their best one, given the other players strategies.

    thanks, yeah i had read that bit.. but there is a formula or algorithm that can work out the perfect strategy for each player based on set inputs..

    Maybe this si better in the poker section.. just thought mathematics would be closer to the actual equation

    any poker playing mathematicians around :p


  • #4
    pkr_ennis
    Users Awaiting Email Confirmation Posts: 176 ✭✭pkr_ennis


    Try this and let us know what you found out http://boards.ie/vbulletin/showthread.php?t=2055782585&page=3
    :)


  • #5
    Mellor
    Registered Users, Registered Users 2 Posts: 39,901 ✭✭✭✭Mellor


    holdemfoldem wrote: »
    Im looking for a formula or an explanation ( from which a formula could be made ) of the nash equilibrium in reference to multi player online poker. The is software that performs the function already but the formula / algorithm can't be found.. by me anyway;)
    holdemfoldem wrote: »
    thanks, yeah i had read that bit.. but there is a formula or algorithm that can work out the perfect strategy for each player based on set inputs..

    This is your problem. Your assumption that there is a formula, or software already is totally wrong.
    I can say with 100% confidence, that no computer, softwhere or person has got anywhere near nash equilibrium for poker. By poker i'm assuming you refer to texas hold'em.

    it is possible to work out NE for area of poker, such as drawing cards in draw poker. This however isn't a true NE, as betting plays such a huge part.


  • #6
    El Siglo
    Registered Users, Registered Users 2 Posts: 3,803 ✭✭✭El Siglo


    Mellor wrote: »
    This is your problem. Your assumption that there is a formula, or software already is totally wrong.
    I can say with 100% confidence, that no computer, softwhere or person has got anywhere near nash equilibrium for poker. By poker i'm assuming you refer to texas hold'em.

    it is possible to work out NE for area of poker, such as drawing cards in draw poker. This however isn't a true NE, as betting plays such a huge part.

    +1 on this.
    I think the op is a wee confused about the whole process, the original article Nash did in The Annals of Mathematics did use a three man poker example of explaining the equilibrium but I doubt it would actually work in real life (Nash more or less hinted towards this) in what the OP is saying.
    What's gas in what your saying there:
    that no computer, softwhere or person has got anywhere near nash equilibrium for poker.
    because Nash himself in the article said:
    "The complexity of the mathematical work needed for a complete investigation increases rather rapidly, however, with increasing complexity of the game; so that analysis of a game much more complex than the example given here might be feasible using approximate computational methods."
    (pp. 295).

    Sixty years on and look how far we've gotten!:D


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