MCP Server for solving bimatrix normal-form games to find pure-strategy and mixed-strategy Nash equilibria
Single tool with basic schema and description. Tool name lacks action verb (should be 'solve_' or 'find_'). Description is adequate (89 chars) but generic. Input schema present with types and descriptions for all 4 parameters, meeting baseline. However, output schema is completely undocumented, LLMs cannot plan downstream actions or validate results. No error handling guidance, no parameter constraints (enums, ranges), no documentation of edge cases (singular games, degenerate payoffs). Tool is read-only but lacks explicit idempotentHint annotation. No pagination, no result limits documented. Composition is sound (single responsibility) but lacks production polish.
Find all pure strategy Nash equilibria and compute mixed-strategy Nash equilibrium for 2x2 games
Output schema completely undocumented. Tool returns dict with 'pure_equilibria' and 'mixed_equilibrium' keys, but LLMs cannot infer structure, types, or field meanings. Prevents downstream tool chaining and result validation.
Tool name 'find_nash_equilibria' lacks clear action verb prefix. Should be 'solve_nash_equilibria' or 'compute_nash_equilibria' to signal computation/transformation, not discovery. Current name is ambiguous about whether it searches a database or computes results.
No error handling or recovery guidance. Tool silently returns None for degenerate 2x2 games (zero denominators) or out-of-range mixed strategies. LLMs receive no actionable error message, cannot retry, and cannot understand why a result is missing.
| Scored | Grade | Overall | Spec posture | Rubric |
|---|---|---|---|---|
| 2026-09-23 | F | 38 | 2026-07-28+ | v2 |
Input parameters lack constraints. Payoff matrices accept any floats with no range validation, dimension checking, or format guidance. LLMs can pass mismatched matrix dimensions (e.g., 2x3 instead of 2x2) without clear error feedback.
No tool annotation (idempotentHint). Tool is read-only and deterministic, but lacks explicit annotation. Agents cannot infer safety for retries without documentation.