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Game Theory: converting extensive form to normal form

  1. Mar 17, 2009 #1
    Hi, I don't if this is place to asks this. I am teaching myself game theory and I am just confused on how to convert extensive form to normal form when there are different stategies for player 2' depending on the player 1's stretegie. I understand if you were turning rock paper scissors into normal form, on the top there would be Rock, Paper, and Scissorns for player 2, and Rock, Paper, Scissors, to the left for player 1. That is a really simple example with all of the same variables. What if there are more? Do you leaves feilds of the matrix blank?

    thanks,
    elictricocean
     
  2. jcsd
  3. Mar 21, 2009 #2
    Okay, i spent a really long time trying to figure out how to explain this without using the diagrams/matrices that can't be made in this forum reply box. So, instead, i'll send you to a link :
    http://en.wikipedia.org/wiki/Normal-form_game#Sequential_games_in_normal_form

    essentially, you just have the payoffs in multiple fields. the reason for this is later on you won't know where you are in the game, and you will need all of that information. but, essentially, you have a lot of repeated payoff information in order to capture every stategy of the players, even if they end up representing the same payoff information. then, you just solve the game as you normally would using iterative elimination of dominant stategies.
     
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