Now since the value of the game is 2 we know that both payoffs are at least 2

Now since the value of the game is 2 we know that

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Problem 4: KP 2.11Consider the following two-person zero-sum game. Both players simultaneously call out one of thenumbers{2,3}. Player I wins if the sum of the numbers called is odd and player II wins if theirsum is even. The loser pays the winner the product of the two numbers called (in dollars). Find thepayoff matrix, the value of the game, and an optimal strategy for each player. 2
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Solution to KP Problem 2.16A zebra has four possible locations to cross the Zambezi River; call them a, b, c, and d, arrangedfrom north to south. A crocodile can wait (undetected) at one of these locations....(read the rest ofthe problem in the text).(a) Write the payoff matrix for this game.(b) Can you reduce this game to a 2×2 game?(c) Find the value of the game (to the crocodile) and optimal strategies for both. Solution:
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