There are two companies A and B in a certain city. Both firms have the same reputation
and enjoy equal market share. Both companies want to attract greater number of customers
by using innovative media strategies. Company A has constructed the following matrix of
increase in sales(in ₹ Lakh) for various strategy combinations of the two companies:
Strategies for A
Strategies for B
B1 B2 B3 B4
A1 3 -1 6 7
A2 -1 8 15 12
A3 16 13 14 10
A4 1 11 2 1
Assuming a zero-sum game, determine the optimal strategy of the two companies and value
of the game
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