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game theory will rate for correct and descriptive answers...

Question: game theory will rate for correct and descriptive answers...

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Game Theory:

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1 Lets think about the popular game Rock, Paper, Scissors. On the count of three, two players quickly form their hands into the shape of either a rock, a piece of paper, or a pair of scissors (abbreviate these shapes as R, P, and S, respectively). The players make this choice at the same time and do not know what their opponent is going to choose If the players pick the same shape, the game ends in a tie. Otherwise, one of the playens wins and the other one loses according to the following rules: Rock beats Scissors, Scissors beats Paper, and Paper beats Rock. Each player obtains a payoff of1 if they win -1 if they lose, and 0 if they tie Represent this game in the extensive form by drawing the game tree. Make sure to fully label every part. Furthermore, discuss the relevance of the order of the tree (which player has the move at the initial node)

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