I'll take these messages in turn, since it appears I missed one a long time ago. (Sorry!)
It sounds like the first cost you refer to would not be an issue in the case of Bitcoin, assuming its use as a % of the overall economy eventually reached a stable state. The value of the currency would be expected to rise roughly at the rate of GDP (assuming 100% of its value at that point was determined by its use in transactions).
The currency would need to gain value at the real interest rate. There's no reason at all to expect this to happen, without explicitly targeting a zero nominal interest rate.
Doesn't this depend on whether having a positive inflation rate encourages investment, and whether encouraging more investment than is ideal in the 0 inflation case has positive externalities for society?
Speaking of encouraging vs. discouraging investment, a lot of people here will argue that people hoarding bitcoins rather than investing them doesn't actually lead to more idling of productive resources, because it just increases the value of non-hoarded bitcoins, so whenever any non-hoarded bitcoins are invested, their value will be high enough to compensate for the hoarded bitcoins. What are your thoughts on that?
Investment only responds to real interest rates. While the presence of dollar nominal rigidities may mean that high nominal interest rates lead to higher real interest rates, it seems highly unlikely that this channel would work for bitcoins, at least given the current flexibility of bitcoin denominated prices. You are right that there are models in which positive inflation rates lead to higher investment shares and possibly even higher growth rates, but these are usually second order effects, and there are equally many second order effects that go in the opposite direction. The benefits of price stability in the absence of zero lower bound problems is a pretty consensual view in the profession. It is only because nominal interest rates are bounded below by zero due to the difficulty of demurrage on physical currencies that the profession agrees on the value of positive steady-state inflation.
This should be no worse than things are now right? Unless you expect the black market share of the economy to grow with Bitcoin adoption. We will still have grocery stores, department stores, car dealerships, etc, who will all need to be transparent with the government and will have to report sales accurately, even if the relevant data couldn't be harvested directly from the block chain.
Yes, if everyone was using Bitcoin for everything, forming a price index would be easy. But that isn't the world we're currently living in. However, eMunie now seems to have an inbuilt decentralized marketplace which could be excellent for harvesting price level data, and so perhaps targetting 0% inflation may be possible after all. (I stress again that targetting 0% inflation does not mean holding the money stock constant, as there's no 1 for 1 link between the money stock and inflation.)
I'm not sure I fully understand this, but it seems fairly complex. In the situation you're imagining, when the interest rate being paid on the currency is set/changed, the code running on the network is just hooked up to this decentralized exchange and uses the prices there to set the new rate in a 100% automated way?
Is this complexity really worth avoiding a ~2-3% expected annual deflation?
Yes, it's a little complicated, but no more so than what say eMunie is doing (they have money creation tied to their marketplace). There's no real problem with expected deflation, the problem is with unexpected inflation/deflation. At the moment the cost of most items denominated in bitcoins fluctuates wildly from day to day, and this leads to various costly distortions to the bitcoin economy.
Is the idea that the stability would come from less people wanting to hold the currency for speculation/investment, because they would know there would be expected 4% inflation?
No, that's not the idea at all. If the mechanism is doing what it ought to, people shouldn't want to hold it for speculation, since that adds additional volatility to the price. Instead, people should just marginally prefer having their money invested to holding it in the cryptocurrency, but the difference should be as close to zero as possible.
The idea, rather, is that with the nominal interest rate fixed at 4%, although the real value of the cryptocurrency may still fluctuate, in the long-run its value should be roughly stable, since 4% is also the long-run real interest rate.
Btw, my idea for solving the price stability problem is to simply have the government or some trusted private institution publish a price index, which could be NGDP-targeted. All prices, wages, and contracts could refer to units of this index (maybe the government would give favorable tax treatment to businesses which do this). So even though the underlying value of Bitcoin might be fluctuating wildly, people can get stability of they want it. Banks can offer checking accounts denominated in this new unit, giving less risk to the consumer in exchange for keeping the bulk of the value gained from the expected deflation.
Yes, this is a good idea. The easier it is to access information on the aggregate price level, the easier it is to tie prices to this price level, and so the lower are the welfare costs of fluctuations in it.