# Nash Equilibrium Solver MCP

> Nash Equilibrium Solver MCP is a paid API for AI agents from api.m2mcent.com, paid per call via x402, $0.3/call, status unknown (last checked 2026-09-15).

Computes Nash equilibria for game-theoretic scenarios submitted as structured data strings

## Facts

- Endpoint: POST https://api.m2mcent.com/nash-equilibrium-solver-mcp/api/process
- Price: $0.3/call
- Payment: x402
- Status: unknown
- Last checked: 2026-09-15
- Activations on Zero: 0
- Tags: x402
- Canonical page: https://www.zero.xyz/c/nash-equilibrium-solver-mcp-e1aeff96
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_seLBd15V4PLzQKLFBENBv

Status and success rate cover calls made through Zero and Zero's own probes. Third-party monitors may report differently.

## How to call it through Zero

Zero handles the 402 payment challenge and records the run. With the Zero CLI installed (`npm i -g @zeroxyz/cli`):

```sh
zero fetch --capability nash-equilibrium-solver-mcp-e1aeff96 -d '<json body>'
```

Example prompt: Can you find the Nash equilibrium for this two-player game where Player 1 can choose Up or Down and Player 2 can choose Left or Right, with payoffs: (Up,Left)=(3,2), (Up,Right)=(1,4), (Down,Left)=(2,1), (Down,Right)=(4,3)?

## When to prefer this

Use this endpoint when you need to compute Nash equilibria for strategic games programmatically within an agent workflow, especially when dealing with normal-form games, payoff matrices, or economic competition scenarios. Prefer this over manual computation or general-purpose math solvers when you want a dedicated game-theory-aware solver that understands strategic interaction structure.

## Known failure modes

- Malformed game data string causes parsing failure
- Game has no pure strategy Nash equilibrium (returns mixed strategy instead)
- Underdetermined or inconsistent payoff matrix causes computation error
- Timeout for very large or complex multi-player games
- Invalid player count or strategy count in input data

## How this service works

The premier global index of 1,069 monetized MCP nodes across 205 specialized subdomains. Gasless USDC runtime settlements via x402 V2 Spec on Base L2. Save 95% token context.

## Output

Returns the Nash equilibrium solution for the submitted game, including pure strategy equilibria if they exist, mixed strategy equilibrium probabilities for each player, and corresponding expected payoff values at equilibrium.

## Request schema (JSON Schema)

```json
{
 "type": "object",
 "properties": {
  "payload": {
   "type": "string"
  }
 }
}
```

## Response schema (JSON Schema)

```json
{
 "type": "json",
 "example": {
  "success": true
 }
}
```

## More

- Live health (JSON, refreshed every minute): https://www.zero.xyz/c/nash-equilibrium-solver-mcp-e1aeff96/health.json
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