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In: Economics

Alex, Max, James, and Zack are figuring out if they'd want to go to the football...

Alex, Max, James, and Zack are figuring out if they'd want to go to the football game. They don't enjoy each other's company, so they would rather not go instead of seeing someone they don't like at the football game. Alex won't go if Zack is at the game. Zack will not go if Alex and/or Max are at the game. James will not go if Alex is there. Lastly, Max will not want to attend if Zack and/or James are at the game. We shall make the assumption that all decisions are made simultaneously.

What are the Nash equilibria of the game? (state who will go to the game and who will not in Nash equilibrium)

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