Sunday 3 August 2008

Prisoner's Dilemma and the Credit Crisis

There are two topics are different but related in a weird way: we are now seeing a lot of "every man for himself" behavior (liquidity hoarding is one of many examples) that seem rational (or at least defensible) on an individual basis, but are destructive to the financial system as a whole. The second is that, per Richard Bookstaber, our financial system is "tightly coupled" and in tightly coupled systems, risk reduction measures (which too often look at risks in isolation) will typically have the perverse effect of increasing risks.
In financial markets tight coupling comes from the feedback between mechanistic trading, price changes and subsequent trading based on the price changes. The mechanistic trading can result from a computer-based program or contractual requirements to reduce leverage when things turn bad.

Eugene Linden, who has written extensively on animal behavior as well as markets, gave this observation:
The problem facing the credit markets right now is yet another iteration of the "prisoner's dilemma" from game theory, at least in the sense that participants know that if everybody takes the stance of "every man for himself" the markets will crater, but they also know that if they rush for the exits there's a chance that they will get out the door relatively unscathed. Studies of the problem suggest that the more anonymous the context, the more likely that players will adopt "every man for himself," and, of course there's nothing more anonymous than markets. Nature has a long time to work out solutions for problems, and it turns out that a number of animals have converged on the same optimal solution that game theorists have worked out. It's called "tit for tat," and it simply means that if someone extends trust to you reciprocate that trust, and if not, not. The best example comes from vampire bats. When a bat is short on blood it will call on a copain for a sip, and if its bat buddy does the right thing, then the thirsty bat will reciprocate at some point in the future when the tables are turned.

It is wonderfully perverse that vampire bats are more community-minded than Wall Street.

The problem now is, save perhaps within the dealer community itself, many players deal with each other on an anonymous, one-off, or transactional basis. So the opportunity to discipline bad behavior is diminished considerably (but ironically, one of the big factors behind Bears' demise was anger in the community that it had behaved badly both in the LTCM crisis by being the only firm called by the Fed who refused to participate, and its reluctance to shore up its failed hedge funds last June).

Now consider how this conspires with the second element, the perverse outcomes that result from trying to reduce risk in a tightly coupled system. We had written about these examples of efforts to fix the housing/credit crunch backfiring. I'll start with the first, which is that aggressive cuts at the short end of the yield curve initially did nothing to lower long-term rates, which are the basis for pricing most mortgages; the later cuts have steepened the curve, making matters worse.

Reader Lune came to similar observations independently and put them together well, so we'll continue with her list:
We've already seen the law of unintended consequences so far:

1) Congress raises conforming limits on Fannie/Freddie to help unfreeze the mortgage market. Result: agency spreads skyrocket, bringing down Bear and a host of hedge funds. Mortgage markets still remain frozen.

2) Fed opens TSLF to unfreeze mortgage market. Result: Carlyle goes bankrupt as people rapidly arbitrage the difference between holding MBS in firms that can and can't access the new credit facility. Mortgage markets remain frozen.