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.

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