Two snobby rich men, John

Two snobby rich men, John

Two snobby rich men, John and Kevin, are bidding on a piece of art. They each can bid either 2,4,6 or 8. The highest bid wins the art. If they submit identical bids, a fair coin is tossed to determine the winner(only the winner pays the price). John values the piece of art at $9, and Kevin values the piece of art at $7. Construct the game matrix depicting this scenario and find all Nash Equilibria.

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