Method

dominance method Steps (Rule)
Step-1:	If all the elements of Column-i are greater than or equal to the corresponding elements of any other Column-j, then the Column-i is dominated by the Column-j and it is removed from the matrix. eg. If Column-2 `>=` Column-4, then remove Column-2
Step-2:	If all the elements of a Row-i are less than or equal to the corresponding elements of any other Row-j, then the Row-i is dominated by the Row-j and it is removed from the matrix. eg. If Row-3 `<=` Row-4, then remove Row-3
Step-3:	Again repeat Step-1 & Step-2, if any Row or Column is dominated, otherwise stop the procedure.
Average dominance method Rule
1.	If Column-i is dominated by the average of Column-j and Column-k then Column-i is removed from the matrix. eg. If Column-1 `>=` average of Column-2 and Column-3, then Column-1 is removed
2.	If Row-i is dominated by the average of Row-j and Row-k then Row-i is removed from the matrix. eg. If Row-1 `<=` average of Row-2 and Row-3, then Row-1 is removed

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Example-1
1. Find Solution of game theory problem using dominance method

Player A\Player B	B1	B2	B3	B4
A1	3	5	4	2
A2	5	6	2	4
A3	2	1	4	0
A4	3	3	5	2

Solution:
2. Dominance rule to reduce the size of the payoff matrix
Using dominance property

			Player `B`
			`B_1`	`B_2`	`B_3`	`B_4`
Player `A`	`A_1`		3	5	4	2
	`A_2`		5	6	2	4
	`A_3`		2	1	4	0
	`A_4`		3	3	5	2

Row-3 `<=` Row-4, so remove Row-3

			Player `B`
			`B_1`	`B_2`	`B_3`	`B_4`
Player `A`	`A_1`		3	5	4	2
	`A_2`		5	6	2	4
	`A_4`		3	3	5	2

Column-2 `>=` Column-4, so remove Column-2

			Player `B`
			`B_1`	`B_3`	`B_4`
Player `A`	`A_1`		3	4	2
	`A_2`		5	2	4
	`A_4`		3	5	2

Column-1 `>=` Column-3, so remove Column-1

			Player `B`
			`B_3`	`B_4`
Player `A`	`A_1`		4	2
	`A_2`		2	4
	`A_4`		5	2

Row-1 `<=` Row-3, so remove Row-1

			Player `B`
			`B_3`	`B_4`
Player `A`	`A_2`		2	4
	`A_4`		5	2

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