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name: "meta-decision-analysis" description: "Apply structured decision analysis using decision matrices, decision trees, expected value, and multi-criteria decision analysis (MCDA). Use this skill when the user faces a complex decision with multiple options and criteria, needs to compare alternatives objectively, quantify risk vs reward, or facilitate group decisions — even if they say 'which option should we choose', 'help me decide', 'how do we compare these options', or 'what's the expected outcome'." metadata: category: "WP-22 跨學科" tags: ["meta-thinking", "decision-analysis", "decision-matrix"]

Decision Analysis

Framework

IRON LAW: Make Criteria and Weights Explicit BEFORE Evaluating Options

Choosing criteria after seeing the options lets bias sneak in — you
unconsciously weight criteria that favor your preferred option.
Define criteria, assign weights, THEN score options.

Decision Matrix (Weighted Scoring)

1. List alternatives (3-6 options including "do nothing")
2. Define criteria (4-8 factors that matter)
3. Weight criteria (must sum to 100%)
4. Score each option per criterion (1-5 or 1-10)
5. Calculate weighted total = Σ(score × weight)
6. Sensitivity check: Does the winner change if you adjust the top-weighted criterion?

Decision Tree (Sequential Decisions Under Uncertainty)

For decisions with uncertainty and sequential steps:

1. Map decision nodes (squares) and chance nodes (circles)
2. Assign probabilities to chance outcomes (must sum to 1.0)
3. Assign payoffs to terminal nodes
4. Calculate Expected Value = Σ(probability × payoff)
5. Choose the branch with highest EV (or best risk-adjusted outcome)

Multi-Criteria Decision Analysis (MCDA)

For complex decisions with competing stakeholder priorities:

1. Each stakeholder defines their criteria and weights independently
2. Aggregate into a combined weighted matrix
3. Identify where stakeholders agree (easy decisions) and disagree (requires negotiation)

Output Format

# Decision Analysis: {Decision}

## Alternatives
1. {Option A}
2. {Option B}
3. {Option C}

## Decision Matrix
| Criterion | Weight | Option A | Option B | Option C |
|-----------|--------|----------|----------|----------|
| {criterion 1} | {X%} | {1-5} | {1-5} | {1-5} |
| **Weighted Total** | 100% | **{total}** | **{total}** | **{total}** |

## Sensitivity Analysis
- If {criterion} weight changes from X% to Y%, winner changes from {A} to {B}

## Recommendation
{Winner with rationale and key trade-offs acknowledged}

Gotchas

• "Do nothing" is always an option: Include it as a baseline. Sometimes the best decision is to wait.
• Scores are subjective: A score of "4" from one person ≠ "4" from another. Calibrate by defining what each score means before scoring.
• Expected value ignores risk preference: EV of $50 (certain) vs EV of $50 (50% chance of $0, 50% chance of $100) are equal by EV but feel very different. For high-stakes decisions, use risk-adjusted metrics.
• Analysis paralysis: Decision analysis should accelerate decisions, not delay them. Set a time limit for the analysis.

References

• For decision tree software tools, see references/decision-tools.md