# BTC Game Theory & Network Security Analysis

> BTC Game Theory & Network Security Analysis is a paid API for AI agents from the-stall.intuitek.ai, paid per call via x402, $0.136/call, status unknown (last checked 2026-09-14).

Returns real-time Bitcoin game theory metrics including 51% attack cost, selfish mining threshold, Nash equilibrium status, fee pressure, and difficulty cycle data.

## Facts

- Endpoint: GET https://the-stall.intuitek.ai/cap/btc-game-theory
- Price: $0.136/call
- Payment: x402
- Status: unknown
- Last checked: 2026-09-14
- Activations on Zero: 0
- Tags: x402
- Canonical page: https://www.zero.xyz/c/btc-game-theory-network-security-analysis-38ebd79d
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_hoO0noCZEnBVQ082LGxs8

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 btc-game-theory-network-security-analysis-38ebd79d
```

Example prompt: Give me a full Bitcoin game theory and network security analysis right now — I want to know the 51% attack cost, whether honest mining is the Nash equilibrium, selfish mining threshold, current fee pressure state, and when the next difficulty retarget is expected.

## When to prefer this

Use this endpoint when you need a synthesized, real-time view of Bitcoin's economic security posture — combining raw network stats (hash rate, price, block height) with derived game-theoretic metrics (attack cost, Nash equilibrium, selfish mining threshold) and systems-level signals (difficulty cycle state, fee pressure) in a single call. Prefer this over manually querying block explorers or mempool APIs when you need pre-computed attack cost and incentive analysis without building the math yourself.

## Known failure modes

- Upstream Bitcoin node or data provider unavailable — may return 5xx or stale data
- Invalid properties parameter value — likely ignored or returns full payload
- Payment not confirmed on Base mainnet — 402 response requiring USDC payment
- Network congestion causing delayed block height or hash rate data

## How this service works

Bitcoin mining game theory and systems dynamics in one call. Returns: selfish-mining profitability threshold (Eyal-Sirer), 51%-attack electricity cost estimate, fee-vs-subsidy revenue split, difficulty epoch trajectory (expansion / contraction / neutral), Nash-equilibrium state for honest mining, and current epoch progress. Sourced from mempool.space and CoinGecko — no API key required. Use for miner-incentive analysis, network security assessment, and pre-investment regime detection.

## Output

A JSON object with three sections: (1) network — current block height, BTC price in USD, and hash rate in EH/s; (2) game_theory — daily block subsidy, fee-to-subsidy ratio, 24h and hourly 51% attack costs in USD, selfish mining threshold percentage, daily fee revenue in BTC, and a boolean indicating whether honest mining is currently the Nash equilibrium; (3) systems_theory — current and fastest fee rates in sat/vB, fee pressure state label, difficulty epoch progress and projected change percentages, blocks until retarget, estimated retarget date, difficulty loop state label, and a human-readable security trend summary string.

## Example request

```json
{
 "properties": "game_theory_analysis"
}
```

## Request schema (JSON Schema)

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

## More

- Live health (JSON, refreshed every minute): https://www.zero.xyz/c/btc-game-theory-network-security-analysis-38ebd79d/health.json
- [Zero catalog index](https://www.zero.xyz/llms.txt)
- [Other services from the-stall.intuitek.ai](https://www.zero.xyz/host/the-stall.intuitek.ai/llms.txt)