1. 1000 waiwai on offer.
2. 1 waiwai bid
3. 999 waiwai on offer
This is a decrease in the float. Until and unless my waiwai is offered, presumed infinite wampum are chasing fewer waiwai.
The static Wall of bid/ask is not the float. The float is everyone who is in the market to buy and sell at some price. Their bid/ask don't need to be registered on an exchange. They come onto the exchange when the price moves to their target price range.
http://www.investopedia.com/terms/f/float.asp
"Float may also refer to the total number of shares available for trading. Float is calculated by subtracting closely-held shares from the total number of outstanding shares."
The 1 bid taken, adds another ask to the float (at some price).
The difference is that there can only ever be 1000 waiwai.
If you are referring to the entire Bitcoin money supply, the 1 bid taken, adds another ask to the float (at some price). The float didn't decrease.
Or it increases P x Q.
Yes. Allow me to reveal a secret about the Klein bottle market: Alice has been selling Klein bottles at a constant rate to her neighbors since college, in exchange for wampum. Q is fixed. Consequently, Alice adjusts P to hold demand.
The supply of potential Bitcoin merchants isn't fixed. Marginal price will find equilibrium. Alice doesn't have a monopoly here.
Errata: Sorry Bill Gates. This is open source so there isn't even a monopoly on crypto-currencies coin supply.
You got that backwards.
I certainly hope to discover if I got it backwards. Polarity errors are explosively disastrous.
I'm impressed that you so recognize.
Here you make a unit error, or else a lexical substitution error, or perhaps a simple omission of steps - the surface form is ambiguous. Presumably you have a case, but it hasn't been transmitted. V can't convert to/from fiat. That's the apparent unit error. If it is a lexical error, this is the reading:
This reading makes perfect sense.
But that reasoning is not applicable to fixed stock of waiwai, consistent with the pattern of my earlier comment regarding the "difference".
Otherwise valid economic reasoning which is conditioned on elastic supply and demand premises might mislead one, if applied to an inelastic supply or demand situation. In the waiwai case, the supply is fixed forever because the bird from which they were taken went extinct when the last waiwai was plucked. For that reason, we tend to subdivide our waiwai, and weigh them out, although it can create dust in our wallets.
V represents all the network activity (and thus value via Metcalf's Law) of exchanging BTC <-> goods+services <-> BTC.
As V increases, value of BTC increases. Since fiat is not increasing as V increases, then the value of BTC relative to fiat increases.
If we instead allow V to include exchanges to/from fiat to attain those goods+services, then value of that network activity is imparted to fiat (because the holder of fiat doesn't need to convert to BTC to avail of those goods+services). This is very clear because as the number of goods+services that are only available in exchange for BTC increases, then the demand for converting fiat to BTC to avail of them also increases.
There was no unit error because V is a collection of activity of BTC demand for goods+services, rather the unit was plural.
That is irrelevant as I have explained.
I understand that you may think I am being astoundingly obtuse. You have a valid and subtle point which could be reasonably expected to be overlooked or simply not understood. I am looking straight at it, in fact. I understand its validity. I will re-read, and check that I am not misinterpreting your case, after work, but so far all I am seeing is that you are mislead by applying elastic supply reasoning to an inelastic supply dynamic, and attributing to network effects what is adequately and clearly explained by stocks and flows. If you explained a defect in my reasoning, I missed that explanation.
My illustration is intended to clarify. If the reasoning applies to BTC, it should apply to the waiwai case, which abstracts over irrelevancies. Unless an un-representable complicating factor can be shown to be relevant, or the analogy fails by irremediable non-isomorphism, restricting vocabulary to waiwai world will work wonders.