Problem 7: Consider the rock paper scissors game. If a player Wins, then that player obtains 1 dollar, while if a player loses, then that player loses a dollar. In the event of a tie, each player ends up with 0 dollars. Suppose that each player's utility is equal to the amount of dollars that he or she Wins so that the normal form of this game is given by: Find all of the Nash equilibria (both pure and mixed). Justify Why you have found all of the Nash equilibria. Hint: Follow the same strategy as in problem 1 of breaking down the analysis into cases, by considering what strategies player 1 randomizes over