There's an Australian economist called "Steve Keen", who uses mathematics (stuff like dynamic PDEs, not the crap econometricians use) to model this kind of stuff.
It is probably worth noting that he's been predicting the Australian Property Bubble to pop any time for quite a while.
He already had to walk to Mt. Kosciuszko (highest mountain in Australia, like 2000m or so) because he had lost a bet on a housing prices to another economist, but all his predictions still point out that house price bubble pops any day (I'm subscribed to his blog and I admire the way he uses mathematics btw).
It is probably worth noting that he's been predicting the Australian Property Bubble to pop any time for quite a while.
He already had to walk to Mt. Kosciuszko (highest mountain in Australia, like 2000m or so) because he had lost a bet on a housing prices to another economist, but all his predictions still point out that house price bubble pops any day (I'm subscribed to his blog and I admire the way he uses mathematics btw).