A worked example of Powell’s “state → decision → new information” sequence (St, xt, Wt+1) with a split caused by two different readings of global average temperature in 2028. This is a modelling illustration, not a deployment recommendation.
This worked example follows the sequence (S0, x0, W1, S1, x1, W2, …, ST) used to model sequential decision problems Powell: model framework and explained in Powell’s SDAM text Powell: model framework. Tap any state/decision/information node to see a plain‑English breakdown.
Use a compact state that is sufficient to decide and simulate forward. A helpful decomposition is: physical resources Rt, other deterministic info It (e.g., the current temperature), and beliefs Bt about uncertain parameters Powell: model framework Powell: model framework.
Wt+1 is not known when xt is chosen and arrives after it; its distribution may depend on the state or chosen monitoring—for example, updated temperature estimates or field‑test observations Powell: model framework.