@bench: you spoke very negatively about this worker in other threads, which leads me to believe that your mind is made up already. But I'm happy to answer anyway.
@biophil:
1. How can your theoretical model be applied to a market with external parameters?
There are two broad ways: the first is called a Monte Carlo simulation, and we're laying the groundwork for this already. We simulate the model with many different inputs for the various parameters, and see what outcomes occur. For example, if we run Monte Carlo simulations for many different market conditions on the current chain parameters and most of the outcomes have good pegging and liquidity, then that validates the current chain parameters.
The second way is more difficult, but we will try given funding: there is a major area of control theory called "robust control" where they study whether a system performs well for all kinds of disturbances. It is possible to show that certain kinds of control systems (airplane autopilots, for example) are robust and can avoid spiraling out of control no matter what nature does to them. We may be able to apply this theory to the BitShares system and describe exactly what kinds of market conditions are "safe" for BitAsset price pegs.
2. How does your worker solve systematic market problems?
Our view is this: BitAssets will never be widely adopted if their users don't have confidence. If someone comes to you and says "why is MSSR set to 1.01?" and your answer is "we picked it randomly and it's been working fine for a while," that doesn't instill confidence. If instead you can say "we have run extensive simulations and advanced analysis and we have found that 1.01 provides the best balance between keeping the price down in bull markets and keeping the price up in bear markets," then you'll have something.
3. What options/solutions do you want to research?
I've been clear about this from the start, and I'm still proposing the same thing now that I was when I first announced. Take a look at the document linked in the first post of this thread.