Find Solution of game theory problem using saddle point

Player A\Player B	B1	B2	B3
A1	-2	14	-2
A2	-5	-6	-4
A3	-6	20	-8

Solution:
1. Saddle point testing
Players

			Player `B`
			`B_1`	`B_2`	`B_3`
Player `A`	`A_1`		-2	14	-2
	`A_2`		-5	-6	-4
	`A_3`		-6	20	-8

We apply the maximin (minimax) principle to analyze the game.

			Player `B`
			`B_1`	`B_2`	`B_3`		Row Minimum
Player `A`	`A_1`		[(-2)]	14	-2		`[-2]`
	`A_2`		-5	-6	-4		`-6`
	`A_3`		-6	20	-8		`-8`
	Column Maximum		`(-2)`	`20`	`-2`

Select minimum from the maximum of columns
Column MiniMax = (-2)

Select maximum from the minimum of rows
Row MaxiMin = [-2]

Here, Column MiniMax = Row MaxiMin = -2
`:.` This game has a saddle point and value of the game is -2


The optimal strategies for both players are
The player A will always adopt strategy 1
The player B will always adopt strategy 1

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