── ── Mental model

Decision Tree

A decision tree maps a multi-stage decision: decision nodes (squares) for choices you control, chance nodes (circles) for outcomes you don't, probabilities on every branch, payoffs at the leaves — then rollback right-to-left to get expected value at the root. First systematized by John F. Magee (HBR, 1964); formalized by Howard Raiffa (1968). Its biggest value: converting "I feel we…

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How it works

Step 1 — Root: Define the decision (options, timeline, decision-maker). Draw a square; each option is a branch.

Step 2 — Chance nodes: For each branch, identify uncertain events → draw circles. Branches at each circle must be MECE; probabilities must sum to 1.0.

Step 3 — Probabilities: Assign a number (0.0–1.0) + documented basis to every branch. Reject "50/50" without justification.

When to use it

  • user says 'help me choose between two options with different risks', 'I need to map out what could happen if we go with X', 'we have a sequential decision — first we do A then depending on results we do B', 'what is the expected value of this investment given uncertain demand'

When not to use it

the decision is a one-shot choice with no sequential stages (use simple EV instead); probabilities cannot be estimated even roughly and uncertainty is too deep to quantify.

Worked example

A Chipmaker's Leading-Edge Fab Investment Under AI Uncertainty (2024–2026)

Between 2024 and 2026, one of the largest irreversible capital bets in the economy was a semiconductor manufacturer's decision to commit to leading-edge fabrication capacity. A single advanced logic fab is a multi-year, multi-billion-dollar commitment made years before the demand that would fill it is confirmed. The AI wave made this sharper on both sides: the upside case (AI accelerators and their supply chain filling every wafer) and the downside case (a capacity glut if AI demand or monetization disappoints, echoing prior semiconductor boom-bust cycles).…

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$npx skills add deciqAI/knowledge-skills
View Decision Tree source on GitHub →

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