Standard conventions in game theory, Mathematics

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Standard conventions in game theory

Consider the given table:

Y

 

3

-4

X

-2

1

  • X plays row I, Y plays columns I, X wins 3 points
  • X plays row I, Y plays columns II, X looses 4 points
  • X plays row II, Y plays columns I, X looses 2 points
  • X plays row II, Y plays columns II, X wins 1 points

3, -4, -2, 1 are the identified pay offs to X(X takes precedence over Y)

here the game has been represented in the form of a matrix. When the games are expressed in this fashion the resulting matrix is commonly known as PAYOFF MATRIX

 

 


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