Overcommit Utility Tensor
Utility: U(mode,L,r) = -Drain(L,r) + ι¡Gain(mode). This models planned tempo debt conversion.
Drain(L,r) = (1-r)L
U = -Drain + ι¡Gain(mode)
Asset iff U > 0
U(mode, turn, L, r)
| Mode | Turn bucket | L | r=0.3 | r=0.4 | r=0.5 | r=0.6 |
|---|---|---|---|---|---|---|
| STORY | early(T3-4) | 6 | -2.60 | -2.00 | -1.40 | -0.80 |
| 7 | -3.30 | -2.60 | -1.90 | -1.20 | ||
| 8 | -4.00 | -3.20 | -2.40 | -1.60 | ||
| mid(T5-6) | 6 | -2.60 | -2.00 | -1.40 | -0.80 | |
| 7 | -3.30 | -2.60 | -1.90 | -1.20 | ||
| 8 | -4.00 | -3.20 | -2.40 | -1.60 | ||
| late(T7+) | 6 | -2.60 | -2.00 | -1.40 | -0.80 | |
| 7 | -3.30 | -2.60 | -1.90 | -1.20 | ||
| 8 | -4.00 | -3.20 | -2.40 | -1.60 | ||
| HUNT | early(T3-4) | 6 | -2.20 | -1.60 | -1.00 | -0.40 |
| 7 | -2.90 | -2.20 | -1.50 | -0.80 | ||
| 8 | -3.60 | -2.80 | -2.00 | -1.20 | ||
| mid(T5-6) | 6 | -2.20 | -1.60 | -1.00 | -0.40 | |
| 7 | -2.90 | -2.20 | -1.50 | -0.80 | ||
| 8 | -3.60 | -2.80 | -2.00 | -1.20 | ||
| late(T7+) | 6 | -2.20 | -1.60 | -1.00 | -0.40 | |
| 7 | -2.90 | -2.20 | -1.50 | -0.80 | ||
| 8 | -3.60 | -2.80 | -2.00 | -1.20 | ||
| APEX | early(T3-4) | 6 | -1.80 | -1.20 | -0.60 | 0.00 |
| 7 | -2.50 | -1.80 | -1.10 | -0.40 | ||
| 8 | -3.20 | -2.40 | -1.60 | -0.80 | ||
| mid(T5-6) | 6 | -1.80 | -1.20 | -0.60 | 0.00 | |
| 7 | -2.50 | -1.80 | -1.10 | -0.40 | ||
| 8 | -3.20 | -2.40 | -1.60 | -0.80 | ||
| late(T7+) | 6 | -1.80 | -1.20 | -0.60 | 0.00 | |
| 7 | -2.50 | -1.80 | -1.10 | -0.40 | ||
| 8 | -3.20 | -2.40 | -1.60 | -0.80 |
Add your own tensors
The framework supports additional tensors without changing the UI contract: export them into the run JSON and render via tables or charts.
Examples:
- colorĂturnĂpip requirements
- removal densityĂmatchup class
- land source tensor (special lands Phase 2)
- narrative coherence tensor (lore tags)
Design principle
Tensors are how you make ârepeatable tuning decisionsâ: you stop arguing with your mood and start arguing with a matrix.