tomevault-io Codex Brainstorm Skill
Trigger
- Keywords: brainstorm, exhaust possibilities, explore solutions, deep discussion, feasibility analysis, solution exploration, Nash equilibrium
When NOT to Use
- Simple technical Q&A (answer directly)
- Already have a clear solution (implement directly)
- Only need code review (use
/codex-review)
Core Principle
⚠️ Independent Research → Adversarial Debate → Nash Equilibrium ⚠️
Nash Equilibrium = Neither party can unilaterally change strategy to achieve a better outcome
Workflow
| Phase | Action | Output |
|---|---|---|
| 1 | Claude independent research + analysis, forms Position A | Claude's optimal hypothesis |
| 2 | Codex independent research + analysis, forms Position B | Codex's optimal hypothesis |
| 3 | Multi-round adversarial debate, mutual attacks | Debate exchange record |
| 4 | Check equilibrium, no further improvements possible | Equilibrium or divergence |
| 5 | Output final report | Nash Equilibrium report |
Phase 2: Codex Independent Research (Critical)
⚠️ Must let Codex research independently; do NOT feed Claude's analysis results ⚠️
mcp__codex__codex({
prompt: `You are a senior architect. Conduct an **independent analysis** of the following topic.
## Topic
${TOPIC}
## Constraints
${CONSTRAINTS}
## ⚠️ Important: You must research independently ⚠️
Before forming conclusions, you **must** first:
1. Run \`ls src/\` to understand the directory structure
2. Search related code: \`grep -r "keyword" src/ --include="*.ts" -l | head -10\`
3. Read relevant files to confirm existing implementations
## Output Requirements
1. Research summary (related modules, existing patterns)
2. Your position + supporting arguments
3. Potential risks`,
sandbox: 'read-only',
'approval-policy': 'on-failure',
});
Phase 3: Adversarial Debate
Structure per round:
- Claude attacks flaws in Codex's proposal
- Codex rebuts or updates position
- Equilibrium check: Can either side raise new attacks?
Termination Conditions
| Condition | Description | Result |
|---|---|---|
| Nash Equilibrium | Neither side can raise new attacks | Output equilibrium |
| Convergence | Both positions converge | Output consensus |
| Max rounds | 5 rounds reached with remaining divergence | Output divergence report |
Verification
- Claude formed an independent position (not following Codex)
- Codex performed code research (not speculating)
- At least 3 rounds of adversarial debate
- Each round has clear attack/defense records
- Final report indicates equilibrium status
References
| File | Purpose |
|---|---|
references/templates.md |
Claude/debate/report templates |
references/techniques.md |
Attack/defense techniques |
references/equilibrium.md |
Equilibrium determination flow |
Example
Input: What implementation approaches are available for this requirement?
Phase 1: Claude independent research → Position A (Solution X is optimal)
Phase 2: Codex independent research → Position B (Solution Y is optimal)
Phase 3: Adversarial debate
- R1: Claude attacks Y's scalability / Codex attacks X's complexity
- R2: Claude rebuts / Codex concedes and updates position
- R3: Both converge to Solution Z, no further attacks → Equilibrium
Phase 4: Output Nash Equilibrium = Solution Z
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