3.I.12G
Consider the two-person zero-sum game Rock, Scissors, Paper. That is, a player gets 1 point by playing Rock when the other player chooses Scissors, or by playing Scissors against Paper, or Paper against Rock; the losing player gets point. Zero points are received if both players make the same move.
Suppose player one chooses Rock and Scissors (but never Paper) with probabilities and . Write down the maximization problem for player two's optimal strategy. Determine the optimal strategy for each value of .
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