6. Tech is playing State in a basketball game. Tech employs two basic offenses-t

Question

6. Tech is playing State in a basketball game. Tech employs two basic offenses-the shuffle and the overload; State uses three defenses-the zone, the man-to-man, and a combination zone and man to-man. The points Tech expects to score (estimated from past games), using each offense against each State defense, are given in the following payoff table State Defense Tech Offense Shuffle Overload Zone 72 58 Man-to-Man 60 91 Combination 83 72 Determine the mixed strategy for each team and the points Tech can expect to score. Interpret the strategy probabilities.

Explanation / Answer

There is no saddle point

Solution in terms of Mixed strategies is as follows:

Zone Man-to-Man Combination Minimum Shuffle 72 60 83 60 Overload 58 91 72 58 Maximum 72 91 83 MaxMin = 60 and MinMax = 72 Value between 60 and 72

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