I’m not saying taxes should be zero for everything. I think my post clearly advocated a consumption tax. The fact that cities have in the past largely not chosen implement this form of tax is not relevant to my point about what they should optimally do, except to the extent that we can consider what factors are preventing them from changing policies now (which I assert is largely driven by political pressures from current residents).
I think your argument about the new resident illustrates many flaws to property taxes.
If a previously unfavorable area now is experiencing migration that is causing housing prices to rise, then there must be some factors driving this increase. People are valuing living in that area more. That area is providing a larger (potentially non-monetary) value to everyone living in the area (such as a lower crime rate than it had previously experienced or better access to jobs). The new migrants are clearly paying a premium to achieve these benefits. The old inhabitants, assuming their tax rates are held down to be lower, receive these benefits and don’t pay more in additional taxes. The fact that they are not participating in the transactions that drove up the prices doesn’t mean that they are not participating in the community that people think is becoming better.
Further, what if these new migrants demand a higher quality of public services. The benefits of those improved public services go to everyone, not just the new migrants. Why should the old inhabitants not also have to pay for the better services if they also receive the beneifts?
What it comes down to is that the economic reasoning behind having lower property taxes for old inhabitants compared to new migrants is rather weak. Nevertheless, the political choice explanation makes perfect sense to me. It’s not just about making policies between the old inhabitants and the new migrants. It’s also about the potential migrants who aren’t there yet. If a politician has the opportunity to generate an equal amount of revenue from changing property tax policies for core constituency or potential migrants who can’t even vote yet, I think that would be an easy choice.