game-theory-analysis

name	game-theory-analysis
description	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.

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.