Read the equation
Updates the strategy distribution by applying softmax to log current weights plus scaled performance pressure.
Its role in the build
The Marketing Intelligence Equation
Terms & definitions
| Term | Meaning in this source |
|---|---|
| w_t | Current strategy weight vector. |
| softmax | Normalized strategy distribution. |
| log(w_t) | Memory of current weighting. |
| β | Adaptation strength. |
| P | Performance matrix. |
| d_t | Performance delta signal. |
| Pd_t | Performance pressure. |
How it works
Read W_{t+1} as the quantity being defined or updated by this relation.
Uses logarithmic scaling; its base and the positivity of its argument matter.
Use this version’s variable definitions and update order. The same symbol may be assigned a different meaning in another build.
Assumptions & limits
The title equation visually uses W on the left while the variable legend labels w_{t+1}; retain that capitalization inconsistency.
The poster provides no numeric performance matrix, initial strategy weights, adaptation strength, measurement interval, or execution evidence.
The displayed log requires positive weights for a finite real-valued calculation.
Original context
Read the surrounding source passage
The Marketing Intelligence Equation: Updates the strategy distribution by applying softmax to log current weights plus scaled performance pressure.
Exact original notation
W_{t+1} = softmax(log(w_t) + β(Pd_t))Related builds
Sources & provenance
W_{t+1} = softmax(log(w_t) + β(Pd_t))