# Game Theory Analysis

> Structures game-theory analysis across normal-form and extensive-form settings. Use when defining players, actions, information, equilibrium concepts, or comparative statics in strategic interaction problems.

- Skill: `meleantonio/game-theory-analysis` (Agent Skill, multi-file: 2 files)
- Install (CLI): `npx skillmds@latest add meleantonio/game-theory-analysis`
- Raw SKILL.md: https://api.skillmd.com/api/skills/meleantonio/game-theory-analysis/raw
- Safety review: pending
- Works with: Claude Code, Claude.ai, OpenAI Codex
- Category: Coding & Dev Tools
- Author: meleantonio (https://skillmd.com/u/meleantonio)
- Updated: 2026-09-17
- Page: https://skillmd.com/skills/meleantonio/game-theory-analysis

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# Game Theory Analysis

## Trigger

Use when the task involves:
- strategic interaction with explicit players and payoffs
- best responses, incentives, or equilibrium selection
- normal-form, extensive-form, or repeated-game reasoning
- mechanism design or credibility questions at a lightweight project level

## Workflow

1. Restate the primitives: players, actions, payoffs, timing, and information.
2. Name the equilibrium concept before solving.
3. Check best-response logic, beliefs, and incentive constraints explicitly.
4. Distinguish the formal result from intuition, welfare discussion, or extensions.

## Guardrails

- Do not switch equilibrium concepts mid-analysis.
- Keep off-path beliefs explicit in sequential games.
- State how multiplicity, tie-breaking, or equilibrium selection is handled.
- Separate existence, uniqueness, and comparative-statics claims.

## Output

Return:
- the game primitives
- the equilibrium concept being used
- the core argument or solution
- open ambiguities or multiple-equilibrium issues
- the interpretation, clearly labeled as intuition or implication

## Additional Resources

- For checklists and common mistakes, see [reference.md](reference.md).