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Four army divisions attack a town along two possible roads. The town has three divisions defending it. For each road, if there is one defending
Four army divisions attack a town along two possible roads. The town has three divisions defending it. For each road, if there is one defending division, then it needs 3 or 4 attacking divisions to capture the road. If there are two defending divisions stationed, then the road is safe from attack. Even one division attacking an undefended road captures the road. Each commander must decide how many divisions to attack or defend each road. If the attacking commander captures a road to the town, then the iovvn falls. Score I to the attacker if the town falls and -1 if it does not. (a) Find the payoff matrix. (b) Find the value of the game and the saddle point in mixed strategies
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