3. Robin and Cathy play a game of matching fingers. On a predetermined signal, both players simultaneously extend one, t

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3 Robin And Cathy Play A Game Of Matching Fingers On A Predetermined Signal Both Players Simultaneously Extend One T 1 (97.3 KiB) Viewed 34 times

3. Robin and Cathy play a game of matching fingers. On a predetermined signal, both players simultaneously extend one, two, or three fingers from a closed fist. If the sum of the numbers of fingers extended is even, then Robin receives an amount in dollars equal to that sum from Cathy. If the sum of the number of fingers extended is odd, then Cathy receives an amount in dollar equal to that sum from Robin. (20 points) (a) Construct the payoff matrix for the game. (b) Find the maximin and the minimax strategies for Robin and Cathy, respectively. (c) Is the game strictly determined? it is strictly determined, what is the value of the game? 4. The payoff matrix for a game is 4 A=-4 3 -3 31 2 1 -5 2