Single tool with adequate schema but weak descriptions and no error handling. Tool name lacks action verb (should be 'solve_' or 'find_'). Description is 156 chars (acceptable range) but lacks WHEN/WHY guidance. Input schema is complete with proper types and field descriptions, but output schema is undocumented, LLM cannot plan downstream use. No error handling, validation guidance, or recovery paths. No tool annotations (readOnlyHint, etc.). Composition is monolithic: pure + mixed equilibria returned together; could split into separate tools for clarity.

• Add complete output schema documentation: {pure_equilibria: [{action_p1: string, action_p2: string, payoff_p1: number, payoff_p2: number}], mixed_equilibrium: {p1_strategy: {[action]: number}, p2_strategy: {[action]: number}} | null}. Include field descriptions and type constraints.
• Enhance tool description to 150-250 chars: 'Compute all pure-strategy Nash equilibria and mixed-strategy equilibrium for a 2x2 bimatrix game. Use this to analyze strategic interactions in game theory. Returns pure equilibria (mutual best responses) and mixed equilibrium if it exists in [0,1]² probability space.'
• Add input validation: check that p1_actions and p2_actions are non-empty, payoff matrices are 2x2 (or Nx2 for pure only), and all payoffs are finite numbers. Return actionable errors: 'Invalid payoff matrix: expected 2x2 array of numbers, got [...]'.
• Add parameter constraints to descriptions: 'p1_payoffs: 2D array of floats (rows=p1 actions, cols=p2 actions). Each payoff must be a finite number. Example: [[3.0, 0.0], [5.0, 1.0]]' (but remove the example value; use enum or pattern instead if needed).
• Consider splitting into two tools: 'find_pure_nash_equilibria' (returns only pure equilibria, works for any NxM game) and 'solve_2x2_mixed_nash' (returns mixed equilibrium for 2x2 games only). Clearer composition, easier for LLM to select the right tool.