Archive for the 'Crypto' Category

Nakamoto Meets Pigou

Proof-of-work crypto mining generates a lot of externalities. Yesterday’s post was about how not to measure those externalities. Today’s is about how to deal with them.

When miners use vast amounts of power, there are two broad categories of externality to worry about. One is environmental damage associated with power usage. Insofar as that’s a social problem, the way to deal with it is to tax power usage. That is the government’s job.

But the other kind of externality is more interesting from a crypto-design point of view. Miners are engaged in an arms race. Each miner makes the system a little more secure. Each miner earns an expected reward for that contribution. But there’s no reason to think that the miner’s reward is commensurate with the social value of the extra security that miner brings, and in fact there are plenty of reasons — at least plausible and possibly compelling — to believe that miners are over-rewarded. Currently, if you complete a Bitcoin block you earn a block reward of 6.25 bitcoins plus transaction fees that seem to be running somewhere around a tenth of a bitcoin, adding up to something in the vicinity of $300,000. It’s a fair guess that miners earn pretty close to zero economic profit, so their costs should be about $300,000 per block or roughly $45 million per day. Society is certainly getting something of value for that $45 million, but if it only takes, say, half as many miners to provide the same value, then we’re overpaying by $22.5 million every day (that being the value of the essentially wasted energy).

[it’s also entirely possible in principle that there is too little mining, in which case you can interchange all the implicit plus and minus signs in what follows.]

If you subsidize something and you get too much of it, the solution is to lower the subsidy. In this case that means lowering the block reward. If you don’t subsidize something and you get too much of it, the solution is to tax it. In this case that means a negative block reward. I don’t see any reason in principle why you couldn’t have a proof-of-work system with negative block rewards, and I think it’s at least plausible that such a system could be optimal. [The way this would work in practice is that the block reward would be subtracted from the transaction fees and then burned.]

A potentially nice side benefit is that you’d be taxing that environmental damage we talked about at the outset. You might believe as I do that if there’s a case for taxing that damage, it ought to be done by the government, not by the Bitcoiners. But if you believe your elected officials are falling down on the job, and if doing part of their job for them is an automatic side benefit of getting your own house in order, that’s a good thing.

I haven’t thought about any of this quantitatively — meaning that I have nothing to say about estimating the optimal tax rate, but there is, I think, a moral — namely:

It is often said that proof-of-work systems inevitably lead to a lot of social waste. The “inevitable” part can’t be true. It’s easy for the system to levy a tax that brings private rewards in line with social benefits.

Of course one possiblity is that with the optimal tax, transaction fees would not be enough to support the miners, in which case the system would collapse. But with such a small transaction demand, the system should collapse, so that’s not a problem.

I am sure that a lot has been thought, and a lot has been written, about optimal block rewards, and equally sure that I’m unfamiliar with most of it. So maybe a reader or two will contribute to my education here.

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Crypto

I’ve blogged about this before, but probably less clearly than I should have. A “Why aren’t you blogging?” email from Bob Murphy inspired me to try to boil this down to a few paragraphs:

Let’s imagine a future where cryptocurrency (or more specifically Bitcoin) is widely accepted, and we have infrastructure in place that makes it very easy to exchange Bitcoin for other assets.

I’ve seen many people — both journalists and economists — suggest that in that future, Bitcoin will be quite valuable. (That is, one Bitcoin will be worth a great many dollars, or a great many Teslas.)

But it seems to me that the opposite is more likely to be true. Here’s why:

1) Both today and in that hypothetical future, if I want to send a million dollars to a guy in, say, London, and have him know with certainty, within an hour, that the transaction is irreversible, then I am definitely going to use Bitcoin.

2) Today, if I think I *might* want to send that million dollars to London sometime this week, I am going to hold a million dollars worth of Bitcoin for a while, just in case. That’s precisely because acquiring a million dollars worth of Bitcoin at the last minute is kind of complicated and I don’t want to deal with it.

3) But in that hypothetical future, I will keep my million dollars in an interest-bearing asset, and then, using that marvelous future financial infrastructure, trade the interest bearing asset for Bitcoins about ten seconds before I want to send them to London.

This means that as Bitcoins become easier to use, the demand to hold them should go down, not up, and the value of the Bitcoins themselves should go down, not up, accordingly.

Am I missing something?

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