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Let's just simplify it here--
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let's assume that for each Firm i they can
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set their price anything bigger
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than 0 and anything less than 1,
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just to keep life simple.
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So this is a little bit more realistic perhaps.
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Perhaps more realistic to think of firms actually thinking about
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what prices to set and then adjusting the quantities
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they actually ship based on demand.
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Depends on--I don't want to be too rigorous about that
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because you could imagine the other way around,
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but if you talk to managers