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how many coins are in the jar?
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If you win.
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I claim you only care how many coins are in the jar,
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or how much oil is in the well, if you win, if your bid is the winning bid.
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If your bid is the winning bid what do you know?
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You know that your estimate was the highest estimate in the room
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(at least if this equilibrium has the property that bids are
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increasing in estimates per se, which is not much to expect).
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So you know in this case,
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you would have an estimate Yi that was at least
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as big as Yj for all the other people in the room.
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So where are we?