Problem 3 Consider the following simultaneous normal form game: P.2 R P R 0,0 -1,1 1, -1 P.1 P 1, -1 0,0 -1, 1 -1, 1 1, -1 0,0 Now assume the game is not simultaneous and player 1 gets to play first. Create a game tree that represents the sequential game. Also, name each node, define the set of information sets for each player, show which nodes are in which information set and add define action sets at each info set.

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