# Nash Equilibrium Calculator MCP

> Nash Equilibrium Calculator 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 strategic games, finding the stable solution states where no player benefits from unilaterally changing their strategy.

## Facts

- Endpoint: POST https://api.m2mcent.com/nash-equilibrium-calculator-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-calculator-mcp-ceb3be33
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_FMckiUTXVuKTum8SykhoK

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-calculator-mcp-ceb3be33 -d '<json body>'
```

Example prompt: Can you calculate the Nash equilibrium for a two-player game where Player 1 can choose Rock, Paper, or Scissors with payoffs [0,0], [-1,1], [1,-1] in rows and Player 2 has the same choices with symmetric payoffs?

## When to prefer this

Use this endpoint when you need to compute Nash equilibria for strategic games defined by payoff matrices, especially in contexts like auction design, competitive market analysis, multi-agent decision making, or academic game theory problems. Prefer this over general math solvers when the problem is explicitly a normal-form or strategic-form game requiring equilibrium analysis.

## Known failure modes

- Malformed or ambiguous payoff matrix input may return an error or incorrect result
- Games with no pure strategy Nash equilibrium may return only mixed strategy solutions
- Very large or complex game matrices may time out or return incomplete results
- Incorrectly formatted data string may result in a parsing error

## 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(s) for the specified game, including whether equilibria are in pure or mixed strategies, the equilibrium strategy profiles for each player, and associated payoff values at those equilibria.

## 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-calculator-mcp-ceb3be33/health.json
- [Zero catalog index](https://www.zero.xyz/llms.txt)
- [Other services from api.m2mcent.com](https://www.zero.xyz/host/api.m2mcent.com/llms.txt)