What are the optimal strategies

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Question: 1. Each of two players hides either a nickel or a dime. If the two coins match, A gets both: if they don't match, B gets both. What are the optimal strategies? Is this game fair? What about games with coins of arbitrary but fixed denominations x and y?

2. Consider the variant of Morra in which each player can hide one, two, or three coins; for simplicity, assume that the players announce their guesses simultaneously. What are the optimal strategies?

Reference no: EM131500428

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