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Consider a version of the game “Rock, Paper Scissors”, but without Scissors as an action choice. Specifically, there are two players, each of whom can simultaneously choose the action “Rock” or “Paper”. If both choose Rock, or both choose Paper, the game results in a draw. If one chooses Paper and the other Chooses Rock, the one choosing Paper wins and the one choosing Rock loses. Assign a payoff of 1 for a win, -1 for a loss and 0 for a draw.1. Consider a version of the game Rock, Paper Scissors, but without Scissors as an action choice. Specifically, there are two players, each of whom can simultaneously choose the action Rock or Paper. If both choose Rock, or both choose Paper, the game results in a draw. If one chooses Paper and the other Chooses Rock, the one choosing Paper wins and the one choosing Rock loses. Assign a payoff of 1 for a win, -1 for a loss and 0 for a draw Write this game in normal form being careful to label the players, their actions and payoffs a. b. Does either player have a dominant strategy? If so what is it? c. How is this game similar to Prisoners Dilemma? How is it different? d. Redo parts a-b, but for the game where Scissors is now a third action choice in addition to Paper and Rock. The rules for Paper versus Rock are the same as before. Now, however, if one player chooses Scissors and the other player chooses Paper, the one choosing Scissors wins and the one choosing Paper loses. If one player chooses Scissors and the other player chooses Rock, the one choosing Scissors loses and the one choosing Rock wins. Finally, if both players choose Scissors, the result is a draw

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