Machine v Merton at RA=2

see original post for set-up and assumptions

• Blue is learning machine at around 300000 sim years, risk aversion coeff set to 2
• Grey is my RH40 rule of thumb
• Orange is the Merton optimum with RA=2 and years tuned to SOA annuitant 90th percentile

Choppy output but still looks like it's getting it done one way or another...

...although in runs after this, I'm noticing that the bend up at later ages here may be more pronounced than it is in my future runs because the mini sim is prone to sampling errors and the high value/utility "errors" are more likely to be captured as an advantage. In adding more cycles, which makes it really really slow it looks like it might not curve up as much as this chart.  On the other hand I've noticed that late iterations are pretty strongly related to what unfolds in the first few so maybe that's part of the problem. No idea yet. TBD