GAME OF MATCHING FINGERS 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 number 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 dollars equal to that sum from Robin.
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?
d. If the answer to part (c) is yes, what is the value of the game?
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Chapter 9 Solutions
Finite Mathematics for the Managerial, Life, and Social Sciences
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- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage