Call includes everyone except Frank & Claire.
Logistics
Meeting 2: 13-15 March
Review code/files on wiggio.
Want a group review of material / webX tutorial? Email Paul after the call.
Training Problem 1b: penalty to policy-change rate.
Group is: Paul, Jake, Dan, Carl T, Jim, Frank, …
Dan: L2 done. Code coming (in Python, matlab coming). L1 is hard.
Control variable becomes $ dh/dt $, and $ h $ becomes a control variable.
an impulse-control maximum principle?
Jim suggests - similar to fishing-effort control? Optimality conditions are singular?
Material: See Dan’s summary.
Training Problem 1a: Chattering/periodic control
Group is: Paul, Jim, Dan, Michael, …
Collected references: some general statements in texts about when to expect periodic optimal controls
Dan: Just look for periodic solutions to state / co-state equations.
Advanced problem: spatial control (see proposal), talk to Michael. Direct data on live fishing effort across great barrier reef.
Can we get a description of this data set? Do we have data on policy-elasticity (re 1b)? Material: still coming?
Training Problem 2
Group is: Alan, Carl B, Jake, Michael, Carl T, Marie-Josee, …
Carl Building up to the Stochastic Optimal Control Problem, then adding uncertainty / Bayesian learning. Literature on Uncertainty (Jake)
Uncertainty over growth function (bang-bang).
Uncertainty over stock assessment (pretty open).
Look at Michael’s SDP code and Reed Reed, 1979.
Material: see Carl’s summary and Jake’s lit review.
Training Problem 3
Group is: Megan, Claire, Marie-Josee, Frank, …
Megan, Claire. Spawning time and investment as optimization. Claire running simulations over space/time to generate the return-on-investment curve. Can then determine if there’s a non-trivial optimization search to be done.
Material: still coming.
- Optimal Escapement Levels in Stochastic And Deterministic Harvesting Models, William J Reed, (1979) Journal of Environmental Economics And Management, 6 10.1016/0095-0696(79)90014-7