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This is a component of the information conveyed by prices, which everyone is sensitive to.
Only for the rentier class. A fit of real-world income distributions to a combination of the Boltzmann-Gibbs for the bulk and then a power law for the top seems to perform better, because it separates the two classes.
A price is a scalar, there isn't much information it can convey -- in simplified economics like what we are discussing, it just tells you where the intersection of the demand and the supply curves is. Even if you are a producer and can manipulate the prices to observe the shifts in demand, all you can find out is the approximate shape of the demand curve. There is no information about the total wealth of your customers in the price for common goods.
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