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Consider a modified sequential version of Paper Scissors Rock where Player 1 goes first and chooses...

Consider a modified sequential version of Paper Scissors Rock where Player 1 goes first and chooses Paper, Scissors or Rock, and Player 2 goes second and chooses Paper, Scissors, or Rock. For each player, a win gets a payoff of 1, a loss gets a payoff of -1, and a tie get a payoff of 0.

(a) (9 points) Write out the entire game tree for this sequential game.

(b) (4 points) Find all the subgame perfect equilibria using backwards induction

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