Results 1 to 5 of 5

Math Help - Nash Equilibrium

  1. #1
    Newbie
    Joined
    Mar 2010
    Posts
    6

    Nash Equilibrium

    Hi,

    I'm currently revising for an exam and I just do not understand Nash Equilibrium. I've read all my textbooks on the subject, Google, friends etc and I just do not understand it. I've attached an image of the question I don't understand; the question being 'find all Nash equilibria and the sub game perfect equilibria of the game'.

    * This isn't homework or anything, I just want to be able to understand it. *

    Thanks
    Alan

    [IMG]file:///C:/DOCUME%7E1/Alan/LOCALS%7E1/Temp/moz-screenshot.png[/IMG]
    Attached Thumbnails Attached Thumbnails Nash Equilibrium-imag0084.jpg  
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Joined
    May 2010
    Posts
    1,028
    Thanks
    28

    Re: Nash Equilibrium

    im a bit rusty on this but i think you can get what you need by answering these questions: (i assume player 1 moves first):

    If player 1 chooses R1, what should player 2 do?
    If player 1 chooses R2, what should player 2 do?

    Knowing that player 2 will follow the above strategy, what should player 1 do?
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Mar 2010
    Posts
    6

    Re: Nash Equilibrium

    Thanks for your reply, but I still don't understand. Can player 1 only choose the numbers on the left and player 2 the right?
    Follow Math Help Forum on Facebook and Google+

  4. #4
    MHF Contributor
    Joined
    May 2010
    Posts
    1,028
    Thanks
    28

    Re: Nash Equilibrium

    one of the players will choose from the options on the left (R1, R2). The other player will choose from the options on the right (C1, C2). The question should tell you which way round it is.
    Follow Math Help Forum on Facebook and Google+

  5. #5
    MHF Contributor
    Joined
    Dec 2007
    From
    Ottawa, Canada
    Posts
    3,080
    Thanks
    66

    Re: Nash Equilibrium

    I always thought the Nash equilibrium was Steve Nash's stance when he takes free shots...
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 1
    Last Post: March 29th 2011, 01:50 AM
  2. Equilibrium
    Posted in the Advanced Algebra Forum
    Replies: 6
    Last Post: March 22nd 2011, 01:55 AM
  3. Game theory: subgame perfect nash equilibrium
    Posted in the Business Math Forum
    Replies: 1
    Last Post: December 26th 2010, 03:54 PM
  4. Replies: 0
    Last Post: May 29th 2008, 05:32 AM
  5. convergence to fixed points/Nash equilibria of concave games
    Posted in the Advanced Math Topics Forum
    Replies: 0
    Last Post: May 10th 2008, 07:34 AM

Search Tags


/mathhelpforum @mathhelpforum