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What's going on?
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Why are we getting offers in the real world whereas we don't in this game?
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What are we missing?
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In the real world you don't actually know
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what the other person's discount factor is, therefore,
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you have uncertainly as to what your highest possible offer could be.
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Good.
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So in the real world,
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unlike the model on the board,
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not only are those discount factors different
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but you probably don't know how patient or impatient the other side is.
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You can get some ideas about how patient or impatient the other side is