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1. A friend challenges you to a game of matching pennies. For the sake of novelty, the friend proposes that the payoffs be changed to

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1. A friend challenges you to a game of matching pennies. For the sake of novelty, the friend proposes that the payoffs be changed to the following (your friend is row, you are column). You notice that if both players were to randomize 50:50, as in the NE of traditional matching pennies, then each player earns O in expectation, exactly as in traditional matching pennies. So it would seem that this is a fair game, with zero expected gain for either player. Find the Nash equilibrium and, using this information, comment

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