wo bidders participate in an auction for a bottle of wine. The auction is run as a first price auction: the two bidders simultaneously submit bids in sealed envelopes. After looking at the bids, the auctioneer gives the bottle to the highest bidder, and charges what that bidder bidif both players bid the same amount, the auctioneer flips a coin to determine who wins the bottle and pays the bid. Suppose that bids must be made in $10 increments. (a) Suppose Player 1 values the bottle at $200 and Player 2 values it at $300. Write down the best response map for each player, and identify all pure strategy Nash equilibria of the game. (b) Suppose both players value the bottle at $205. Write down the best response map for each player, and identify all pure strategy Nash equilibria of the game