Can there be a 'two-person zero-sum' game which has a value of zero? If so, write the payoff matrix of one such game and find out the optimal strategies of the players.

Yes, a 'two-person zero-sum' game can have a value of zero. One such game is given below, where player A has 3 and player B has 4 strategies available. Along with the paY-off matrix, the row minima and column maxima are also provided.

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Player B B B B3 B4 A 42 18 -5 -20 Row Minima -20 Player A A 20 20 0 18 0 A3 24 -15 -12 30 -15 Column Maxima 42 20 0 30