nash-equilibrium-solverlisted

# Nash Equilibrium Solver > Turns a strategic situation into a game, solves it, and translates the equilibrium into a recommended move. ## What this skill is A workflow that formalizes a real-world strategic interaction as a game - players, actions, payoffs - then solves for pure and mixed-strategy Nash equilibria, applies Iterated Elimination of Dominated Strategies (IEDS), checks Subgame-Perfect Equilibrium (SPE) in extensive form, and tests robustness to information assumptions. Produces a recommendation grounded in equilibrium analysis, not intuition. ## What it solves - Strategic decisions made without modeling the other side's best response - "What would I do?" reasoning that ignores the opponent's incentives - One-shot intuition applied to repeated-game situations (or vice versa) - Confusion between dominant-strategy equilibria and Nash equilibria - Multiple-equilibrium situations where the recommendation must pick one credibly ## When to invoke - Pricing decisions where competitor response is decisive - Capacity or supply commitments in a concentrated industry - Bidding strategy in auctions and tenders - Market entry or exit decisions - Negotiation preparation where multiple equilibria are credible - Regulatory or policy interactions ## Phase 1: Define the game Specify five elements: - **Players** - every party whose decision matters (don't omit the regulator, the customer, the partner) - **Actions** - discrete options per player; group continuous decisions i