Question

Find the mixed nash equilibrium

	S1	S2	S3
T1	3,5	4,3	6,4
T2	2,4	6,6	4,3
T3	5,3	5,5	2,1

Answer 1

Considering S1,S2, and S3, Strategy S3 has been dominated by the strategy S1: (5,4,3) > (4,3,1)

Hence, S3 to be eliminated from table.

Like Wise considering Row; T1 , T2 and T3: Strategy T1 has been dominated by the T3 ; (5,5) > 3, 4)

Following shall be new table:

	S1	S2
T2	2,4	6,6
T3	5,3	5,5

Now S1 is dominated by S2 ( 6,5) > (4,3)

Hence, column contains only one strategy that is S2.

Thus, Row shall go with T2 only to maximize payoffs

Nash Equilibrium is ( T2, S2)