Can anyone who has/had taken up Operations Research (specifically on Game Theory) help me with this: [quote]You are in command in three divisions of elves, and are planning an attack on two fortresses, the Dark Tower and the Karnack, held jointly by two powerful divisions of trolls. You must decide how many divisions to send each fortress in order to maximize your gains, while the enemy is making similar plans. (No divisions can be split.) You estimate that one troll division is equal in strength to two of your divisions. If [i]x[/i] elf divisions encounter [i]y[/i] troll divisions at a fortress, then the payoff for that the fortress is 1 if 2x>y (since you would win the battle), 0 if 2x=y, and -1 if y>2x. The total payoff matrix is then the sum of the payoffs for the two fortresses. Set up the payoff matrix, determine whether thus game is strictly determined, and what your best strategy would be in the event as it is.[/quote]