(Defending territory) General A is defending territory accessible by two mountain passes against an attack by general B. General A has three di- visions at her disposal, and general B has two divisions. Each general allocates her divisions between the two passes. General A wins the battle at a pass if and only if she assigns at least as many divisions to the pass as does general B; she successfully defends her territory if and only if she wins the battle at both passes. Formulate this situation as a strategic game and find all its mixed strategy equilibria. (First argue that in every equilibrium B assigns probability zero to the action of allocating one division to each pass. Then argue that in any equilibrium she assigns probability 1 to each of her other actions. Finally, find A's equilibrium strategies.) In an equilibrium do the generals concentrate all their forces at one pass, or spread them out?