Game theory-two person zero sum game

Reference no: EM13132378

Two armies are advancing on two cities. The first army has 4 regiments and the second army has 3 regiments. At each city, the army that send more regiments to the city captures both the city and the opposing army regiment. If both armies send the same number of regiments to a city, them the battle at the city is a draw. Each army scores 1 point per city captured and 1 point per captured regiment. Assume that each army wants to maximize the difference between its reward and its opponent's reward. Formulate this situation as two-person zero-sum game and solve for the value of the game and each player's optimal strategies.

Reference no: EM13132378

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