Here is the conundrum that I see facing our economy. How might we have avoided the dumb investments (mortgages) that were made via diversified mutual funds? Our current model of financial planning has failed. I concentrate here on that vast current source of investment from investors with much less than $1,000,000 invested. Let me elaborate what I think happened:
Some funds will be rescued (AIG)—some will be left to fail (Lehman Bros).
Stochastic Sampling is the only and very unripe idea that I have for a better system.
Mandelbrot argues for using non normal distributions and provides ample evidence that market moves do not conform to the normal distribution. I agree but I think that that misses a point. Mandelbrot is among those who claim that the market fundamentals are too complex and that we can only statistically model the market. I think it is important to view the market as a game in the sense of game theory. It makes no sense to play chess using statistical models of what your opponent has done in the past. We too we must drastically simplify, but in a different manner than does Mandelbrot. Game theory includes the concept of coalitions of players to make n person games into m person games where m<n. It considers stability of coalitions which I ignore for now.
The two coalitions I wish to consider are tax payers and Wall Street. I argue that computing the probability as of 2006, of the 2008 events is no more meaningful than trying to foresee your opponent’s next move by statistics. The very perception that the decline of housing prices was unlikely, made it likely because it allowed Wall Street to put the downside on tax payers. They took all the upside, which largely did not materialize, and we took the downside, which did.