So... the assumption is that left to itself, a good which is incredibly scarce in a market full of wealthy, fiercely competitive customers would see a price decline?
I mean, I can sort of see a long-term argument for it (the people who would occupy the housing are dependent on a much larger and much less wealthy serving class for their food and other necessaries and luxuries, and as that serving class was priced out of being able to live anywhere within an increasingly-large radius, housing would begin to become less attractive and thus prices would finally come down at least a bit). But I highly doubt that's the argument attempting to be made here, as one of the goals of rent control is to shortcut to the end of that cycle (where costs have come down enough that the serving class can afford to live nearby again).
Spoiler: I don't think there is one. You're using the term as a catch all for "economic arguments I don't believe".
http://www.econlib.org/library/Enc/RentControl.html
"Economists are virtually unanimous in concluding that rent controls are destructive. In a 1990 poll of 464 economists published in the May 1992 issue of the American Economic Review, 93 percent of U.S. respondents agreed, either completely or with provisos, that “a ceiling on rents reduces the quantity and quality of housing available.” Similarly, another study reported that more than 95 percent of the Canadian economists polled agreed with the statement."
Well yeah, that's about as reliable as asking the members of the Supreme Soviet if socialism is a perfect society model.
Maybe we could do this study again and include the numbers for people which are not part of the "free market will save you"-propaganda group? Or add a few reasons why the answers should be correct besides "I want it!"? Come on ... american and canadian economists .. you can do better.
Maybe I'm missing something, but if I'm not, I think you're hurting your point by waving terminology like that around. By trying to discredit an unrelated concept from econ, it's like you're saying "if you can find an argument that doesn't rely on economics of any sort, feel free to bring itup".
* the actual number of people who wish to move to SF at any given time
* the number of people who pay rent control, but could pay more, and what that number is
* the actual rents that people pay under rent control
As obvious as parts of a toy model might be to people who are familiar with economics terminology, the toy model's conclusions are really quite 'new' to some people. For example: the rents in SF dont need to be 'supported' in the sense most of us think (by everyone). They merely need to be supported by a small amount of wealthy people bidding on a tiny amount of available apartments.
I think that's an important fact regarding how 'frothy' the market is. It can definitely go higher.
But the situation is actually better than that because if we could convincingly get rid of rent control there would be a lot of new entry into the market, making the good less scarce.
Under tight rent control, landlords have an incentive to take apartments off the market and convert them into condos or luxury homes. Remove rent control and some of those apartments will come back, which grows the supply and drives down price. Under a true market where landlords can recoup development costs we should expect see an increase in both the supply and quality of available apartments compared to the current day.
What would really happen is a massive influx of demand, because many people rich people (rich in this context: "Have the means to buy high-priced properties") who do not want an apartment today (because there are none which meet their 'standards', partly thanks to rent controls), would start to move in. This would lead to a situation where a) all new supply would be concretated in high-priced estate, which would still be bought up by the increased demand, while b) the bottom (i.e. todays rent controlled apartments, going with the assumption these are not well maintained and therefore 'cheap') would just go up in price, because there still wouldn't be any new options for the inhabitants of those properties. Result: Higher prices for the current occupants of apartments, a new crop of high-priced apartments bought up by rich people, no better supply of "main street" living room.