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  • For Rows:
  1. Suppose in payoff matrix all the entries of row i1 are equal or greater than row i2. In such situations, it is said that row i2 is dominated by row i1 and i2 will be deleted.

For example:

i1 = (2, 2, 1)

i2 = (1, 2, -1)

Here, i2 is dominated by i1. Hence, the value (1, 2, -1) will be deleted.

 

  1. Suppose sum of all the entries of any two rows are equal or greater than the very next row (third row). In such situations, it is said that third row is dominated by above rows and it can be deleted.

 

  • For Columns:
  1. Suppose in payoff matrix all the entries of column j1 are equal or less than column j2. In such situations, it is said that column j2 is dominated by column j1 and j2 will be deleted.

For example:

j1 = (2, 4)

j2 = (1, 2)

Here, j2 is dominated by j1. Hence, the value (2, 4) will be deleted.

 

  1. Suppose sum of all the entries of any two columns are equal or less than the very next row (third row). In such situations, it is said that third row is dominated by above rows and it can be deleted.