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One of the benefits of a land value tax is that it has zero dead weight loss: because there's a fixed supply of land, the tax won't cause less of it to be around, and you don't lose out on the beneficial transactions that property tax can prevent.
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There are several key benefits. My primary concern is that there are generally no market comparables for undeveloped land in developed areas.

If I believe it’s over-stated, I can appeal my property tax assessment by using comparables for nearby developed property. There is no equivalent market-based process for land values alone.

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In California some percentage of certain developments need to be rental controlled, so those are exempt from increases for those lower income folks, but I'm sure the difference would be spread out among everyone who isn't rent controlled.
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