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Kieran Latty's avatar

Yes, I thought I made that (textbook) equivalence clear in the numerical example.

I do think people will prefer the option where it is optimal to honestly report the market value for their house, but it will also have important behavioral implications.

Due to aversion to nominally overstating their property value, or due to using some sub-optimal but plausible sounding heuristic, people will tend to under-declare, which will lead to too low tax receipts and a too high level of hostile buying, if the alternative (and textbook but not real-life equivalent policy) is set to be optimal.

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Kieran Latty's avatar

No there are important welfare implications:

(1) People will tend to be averse to overestimating their property value even if this is textbook optimal. If the tax is nominally a 1% tax on property value, they will be very annoyed if the textbook optimal [1] declaration of their property value is 120% of the market value, such that the tax is actually a 1.2% tax on property. They will tend to be both annoyed and under-declare, and hence face a direct welfare loss as well as one from bearing the high risk of being blackmailed or facing a hostile sale associated with a textbook sub-optimal declaration.

If you really want to impose a 1.2% tax you would be better off imposing a 1.2 % tax on the declared value but make hostile sales be possible only at a 20% premium over the declared value. Then the 'honest' declarer who simply reports their estimate of the market value will not be declaring a value too low as the price to hostile buy is still 120% of the market value - which we assumed above is the optimal declaration with a hostile buy premium.[2]

(2) The optimal declaration imposes a considerable risk if the tax is generally large. This leads to a direct efficiency loss, or an indirect one via transaction/information costs associated with providing insurance.

(3) Variable costs to move means that there is an additional loss associated with effort expended by blackmailers in identifying people with atypically high moving costs who can be profitably blackmailed by a threat of a hostile buy.

(4) Those with a generally higher cost of moving (i.e. the disabled, those with many dependents etc.) will optimally declare with a higher premium than others. Thus the property tax is also a disability tax. In this case the well known case for ability taxes runs in reverse.

[1] By textbook optimal I mean that we are ignoring the psychological costs associated with feelings of unfairness etc. resulting from a particular declaration strategy. [2] The 20% premium here is just to provide a numerical example, it is not an estimate of the optimal premium to apply.

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