PolyEdge Documentation

Everything you need to know about how our AI trading bot works, the mathematical models behind it, and how profits are distributed to $EDGE token holders.

Overview

PolyEdge is an automated AI-driven trading system designed to extract consistent edge from Polymarket inefficiencies. The protocol continuously scans prediction markets, detects underpriced and overpriced outcomes, and calculates their Expected Value (EV) using advanced probabilistic models and historical volatility analysis.

Key Principle

Unlike discretionary trading, PolyEdge operates fully systematically: no emotions, no manual market picking, no overexposure. Every decision is driven by data and mathematical models.

What is PolyEdge?

PolyEdge is a system for automatic search and analysis of profitable opportunities on the Polymarket prediction platform. It uses advanced mathematical models for probability calculations, Expected Value (EV), and Kelly Criterion for optimal bet sizing.

The system eliminates the need for 24/7 market monitoring by automatically detecting undervalued and overvalued market opportunities and executing capital-efficient strategies.

Core Capabilities

Market Scanning

The bot continuously monitors all active Polymarket prediction markets in real time. It tracks order book depth, price movements, and liquidity across every available market.

1

Fetch Markets — The scanner pulls all active prediction markets from Polymarket, filtering for markets with sufficient liquidity and volume.

2

Analyze Order Books — For each market, the bot examines bid/ask spreads, depth, and recent trading activity to assess execution quality.

3

Flag Opportunities — Markets where listed odds deviate significantly from the bot's calculated fair value are flagged for further evaluation.

Probability Model

At the core of PolyEdge lies a dual probability system that combines theoretical financial mathematics with empirical market data.

Geometric Brownian Motion (GBM)

GBM is the standard model used by hedge funds and major financial institutions. It describes how asset prices change over time, accounting for random fluctuations (volatility) and directional trend (drift). PolyEdge uses historical volatility calculated from real price data rather than implied volatility from options markets.

Assumption

Major crypto assets (BTC, ETH, SOL) exhibit properties consistent with Brownian motion over the time frames relevant to Polymarket positions.

Theoretical Probability (Black-Scholes Based)

Using the GBM framework, the bot calculates the theoretical probability of a specific outcome. For example: if ETH is currently at $4,100 with 50% historical volatility and 10 days until market resolution, what is the probability ETH will be above $4,500?

Empirical Probability (Historical Data)

The bot also analyzes actual historical price data over the last 90 days. It examines how often the asset actually moved by certain percentages within specific time frames. This grounds the model in real-world market behavior.

Combined Probability

The final probability used for trading decisions combines both approaches:

P(final) = 0.7 × Ptheoretical + 0.3 × Pempirical
70% theoretical model weight + 30% empirical data weight

This blended approach prevents the model from being too theoretical (ignoring market realities) or too empirical (overfitting to recent noise).

EV Calculation

Once the bot has a combined probability estimate, it compares this to the market's listed odds to calculate Expected Value (EV):

EV = (Pwin × Payout) - (Ploss × Stake)
Positive EV = the trade has a mathematical edge

Only trades with positive EV are considered. The higher the EV, the stronger the edge. The bot filters opportunities by minimum EV thresholds before allocating capital.

Trade Execution

When a positive EV opportunity passes all filters, the bot calculates the optimal position size and executes the trade on Polymarket. The entire process from detection to execution is automated with no manual intervention.

Kelly Criterion

Position sizing is the most critical component of any systematic trading strategy. PolyEdge uses the Kelly Criterion — the mathematically optimal formula for determining bet size to maximize long-term growth while minimizing risk of ruin.

f* = 0.33 × (b × p - q) / b

Where:
b = decimal odds (payout ratio)
p = probability of winning
q = probability of losing (1 - p)
0.33 = fractional Kelly multiplier (safety factor)
Why Fractional Kelly?

Full Kelly is mathematically optimal but extremely aggressive. Using 33% of optimal Kelly size dramatically reduces volatility and drawdowns while still capturing ~75% of the growth rate. This is standard practice in professional gambling and quantitative trading.

Position Limits

Beyond Kelly sizing, PolyEdge enforces strict position limits to prevent excessive concentration:

Rule Limit Purpose
Max per single trade 4% of bankroll No single bet can cause significant damage
Group limit (correlated events) 7% of bankroll Limits exposure to related outcomes
YES + NO combined cap 5% of bankroll Prevents overexposure on a single market
No duplicate bets 1 per asset/expiry Avoids concentration on same instrument

Important: Percentages are always calculated on capital not currently in active trades, providing an additional safety buffer.

Backtesting Results

PolyEdge has been rigorously backtested using over 1,000 Monte Carlo simulations:

Metric Value
Brier Score (accuracy) < 0.15
Sharpe Ratio 0.8 – 1.2
Maximum Drawdown -25%
Max Stake per Trade 3.5%
Monte Carlo Iterations 1,000+

Live testing over 20+ days has shown results slightly better than backtested projections, confirming the model's robustness.

Pair Trades (YES-NO Pairs)

Pair trades involve taking positions on both sides of related markets to create a hedged position. These are the bot's primary strategy:

Single Directional Trades

Single trades are directional bets on individual outcomes when the EV is sufficiently high:

Trade Selection Rules

The bot uses strict criteria to filter which opportunities to take:

Trade Type Min EV Expiration Action
Pair trade 3.5–4% < 1 day Auto-execute
Pair trade 4–6% 1–3 days Auto-execute
Pair trade 6%+ Any Individually assessed
Single trade 4%+ Shorter preferred Auto-execute
Single trade 8%+ Any Auto-execute

Revenue Model

PolyEdge generates revenue through systematic trading profits on Polymarket. Unlike fee-based protocols, our revenue comes directly from extracting positive expected value from prediction market inefficiencies.

Revenue Sources

Primary: Trading profits from pair trades and single directional trades on Polymarket.
Secondary: Arbitrage opportunities detected between correlated markets.

The bot operates the trading bankroll managed by the protocol. Net profits (after accounting for losses and operational costs) form the revenue pool available for distribution.

How Payouts Work

Revenue generated by the bot is periodically distributed to $EDGE token holders. Here's how the process works:

1

Profit Accumulation — The bot trades continuously. Net profits are accumulated over each distribution period.

2

Snapshot — At the end of each period, a snapshot of all $EDGE token holders and their balances is taken.

3

Proportional Calculation — Each holder's share is calculated proportionally to their $EDGE holdings relative to total circulating supply.

4

Distribution — Profits are distributed to all eligible holders. The more $EDGE you hold, the larger your share of the profits.

Example

If the bot generates $10,000 in net profits during a period, and you hold 1% of the circulating $EDGE supply, you would receive $100 in that distribution.

Distribution Breakdown

Allocation % Description
Holder Distribution 70% Distributed to $EDGE holders proportionally
Trading Bankroll 20% Reinvested to grow the trading capital
Operations & Development 10% Server costs, model improvements, team

$EDGE Token

$EDGE is the protocol's governance and revenue-sharing token. Holding $EDGE gives you a direct claim on the protocol's trading profits.

Token Utility

Token Allocation

Category Allocation Details
Public (Circulating) 70% Available on open market
Liquidity Pool 15% Locked in DEX liquidity
Team 10% 12-month vesting schedule
Marketing 5% Partnerships, growth, community
Buyback Program

A portion of trading profits is used to buy back $EDGE tokens from the open market, creating constant buy pressure and reducing circulating supply over time.

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