PolyMath Blog

Research guides, mathematical frameworks, and market analysis for prediction-market users.

38 articles

StrategyStrategyPolymarketAdvanced

Polymarket Trading Strategy: Research Frameworks for 2026

Learn research frameworks prediction market analysts use in 2026: EV calculation, Kelly sizing, market selection, and calibration.

April 12, 2026 · 12 min read

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StrategyKalshiBeginnersStrategy

How to Analyze Kalshi Markets: A Beginner's System

New to Kalshi? Learn a beginner research system for market selection, EV calculation, Kelly sizing, and fee-aware analysis.

April 12, 2026 · 11 min read

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TaxesTaxesLegalUS Traders

Prediction Market Taxes: Complete Guide for US Traders (2026)

This complete guide covers US tax treatment for prediction-market activity, reporting requirements, and recordkeeping.

April 12, 2026 · 12 min read

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StrategyFeesBeginnersComparison

Polymarket Fees — Complete Cost Breakdown 2026

Exactly how much does Polymarket cost? Trading fees, withdrawal fees, gas costs, and spreads — all explained with real dollar examples. Plus tips to minimize fees and a Polymarket vs Kalshi fee comparison.

April 12, 2026 · 7 min read

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StrategyComparisonPolymarketKalshi

Best Prediction Markets 2025: Complete Platform Comparison Guide

Polymarket, Kalshi, Manifold Markets, and Metaculus compared side by side — fees, liquidity, market selection, and which platform is right for your trading style.

April 12, 2026 · 12 min read

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StrategyTutorialBeginnersStrategy

Polymarket Tutorial: How Prediction Markets Work

Complete beginner guide to Polymarket. Learn how prediction-market prices work, how to evaluate EV, size positions with Kelly Criterion, and avoid common mistakes.

April 12, 2026 · 12 min read

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StrategyComparisonPolymarketKalshi

Polymarket vs Kalshi: Which Prediction Market is Better in 2026?

The definitive comparison of the two biggest prediction market platforms — regulation, fees, liquidity, market selection, and which is right for different trader types.

April 12, 2026 · 14 min read

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StrategyKelly CriterionBankroll ManagementStrategy

Kelly Criterion Betting: The Mathematical Formula for Optimal Bet Sizing

Learn how the Kelly Criterion formula works, how to apply it to Polymarket prediction markets, and why it's the gold standard for bankroll management.

April 13, 2026 · 10 min read

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ToolsExpected ValueEVStrategy

Expected Value Calculator: Find +EV Bets on Polymarket

Expected value is a core concept in prediction-market analysis. Learn how to calculate EV and combine it with Kelly Criterion for disciplined sizing.

April 13, 2026 · 9 min read

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StrategyStrategyAdvancedBankroll Management

Prediction Market Strategies: Advanced Guide for 2026

The five core strategies used by sharp Polymarket traders — EV hunting, arbitrage, sentiment fading, news trading, and market making. Includes bankroll management, calibration tracking, and a full PolyMath workflow.

April 14, 2026 · 12 min read

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ToolsArbitrageStrategyTools

Prediction Market Arbitrage: Strategies, Tools & Real Examples

Learn how to find and exploit arbitrage opportunities in prediction markets. Covers cross-exchange arbitrage, correlated market hedging, and how to use the PolyMath Arbitrage Scanner.

April 12, 2026 · 11 min read

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StrategyCalibrationData AnalysisResearch

Are Prediction Markets Accurate? A Deep Dive into Polymarket Calibration

We analyzed Polymarket's historical resolution data to answer the question every trader asks: do prediction markets actually get it right?

April 12, 2026 · 8 min read

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TaxesLegalBeginnersUS Traders

Is Polymarket Legal in the US? — Complete 2025 Guide

Is Polymarket legal in the United States? We break down the CFTC settlement history, current geo-blocking, legal status, and the best regulated alternatives for US traders in 2025.

April 12, 2026 · 8 min read

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ToolsWithdrawalBeginnersUSDC

Polymarket Withdrawal Guide: How to Cash Out Your Winnings

Step-by-step guide to withdrawing USDC from Polymarket and converting to fiat. Covers MetaMask, Coinbase, Kraken, gas fees, tax considerations, and common troubleshooting tips.

April 12, 2026 · 7 min read

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StrategyComparisonManifoldPolymarket

Polymarket vs Manifold Markets — Full Comparison 2025

Polymarket uses real USDC, Manifold uses play money. Which prediction market platform is right for you? We compare liquidity, market selection, fees, UX, and who each platform serves best.

April 13, 2026 · 10 min read

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StrategyComparisonMetaculusKalshi

Metaculus vs Polymarket vs Kalshi: Which Prediction Market Is Right for You?

Compare the three biggest prediction markets — Metaculus, Polymarket, and Kalshi — across accuracy, accessibility, payouts, and market selection. Find the best fit for your trading style.

April 12, 2026 · 13 min read

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StrategyKelly CriterionPosition SizingBankroll Management

Kelly Criterion Calculator: The Math Behind Position Sizing for Prediction Markets

Learn how to use the Kelly Criterion to size your positions on Polymarket and Kalshi. Full worked examples, the quarter-Kelly strategy, and why this is the math serious traders use.

April 12, 2026 · 14 min read

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StrategyBankroll ManagementKelly CriterionStrategy

Prediction Market Bankroll Management — The Complete Guide

Learn how to manage your prediction market bankroll like a professional. Covers Kelly Criterion sizing, variance control, stake limits, and why most traders blow up accounts by ignoring math.

April 13, 2026 · 10 min read

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StrategyExpected ValueEVStrategy

Expected Value in Prediction Markets — How to Calculate Your Edge

Master expected value (EV) calculations for prediction markets. Learn to identify mispriced contracts on Polymarket and Kalshi, calculate your edge in seconds, and only take trades with positive EV.

April 13, 2026 · 9 min read

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StrategyMetaculusPlatform GuideBeginners

Metaculus Guide: How to Use the Best Free Prediction Market Platform (2026)

A complete guide to Metaculus — how it works, how to make predictions, Brier scores explained, and how it compares to Polymarket and Kalshi. The best free platform for serious forecasters.

April 14, 2026 · 13 min read

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StrategyComparisonMetaculusKalshi

Metaculus vs Polymarket vs Kalshi: Which Prediction Market Should You Use?

A deep comparison of Metaculus, Polymarket, and Kalshi: money-based vs play-money forecasting, accuracy, market selection, US legality, and fit by user type.

April 14, 2026 · 11 min read

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StrategyKelly CriterionPosition SizingStrategy

Kelly Criterion Position Sizing for Prediction Markets

How to use the Kelly Criterion formula for position sizing on Polymarket and Kalshi. Includes worked examples, fractional Kelly strategies, and common mistakes to avoid.

April 14, 2026 · 10 min read

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StrategySuperforecastingGJOpenStrategy

Good Judgment Open: The Superforecaster Platform Explained

What is Good Judgment Open? Learn how the superforecasting platform works, how to build a forecasting track record, and how GJOpen predictions can give you an edge on Polymarket.

April 12, 2026 · 10 min read

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CryptoCryptoComparisonPlatforms

Best Crypto Prediction Markets 2025 — Complete Roundup

A comprehensive review of the best crypto prediction markets in 2025. Compare Polymarket, Manifold, Kalshi, Augur, and PredictIt on liquidity, fees, UX, and market variety.

April 12, 2026 · 10 min read

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ElectionsPredictItComparisonUS Traders

PredictIt vs Polymarket: Which Prediction Market Is Better in 2026?

Detailed comparison of PredictIt vs Polymarket — fees, markets, liquidity, legal status, and which platform is right for US political bettors. Includes fee impact calculators.

April 12, 2026 · 11 min read

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StrategyMarkets2026Strategy

Top 10 Polymarket Markets to Watch in 2026

The 10 most important Polymarket prediction markets to watch in 2026 — US midterms, Fed decisions, AI milestones, crypto prices, and geopolitics. Expert analysis on odds, strategy, and where the edge is.

April 12, 2026 · 12 min read

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StrategyBeginnersOddsTutorial

How to Read Prediction Market Odds: Beginner's Guide (2026)

Learn how to read and interpret prediction market odds on Polymarket, Kalshi, and Metaculus. Understand probabilities, implied odds, and how to find value — step by step for beginners.

April 12, 2026 · 9 min read

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StrategyKalshiKellyStrategy

How to Use the Kelly Criterion on Kalshi

A step-by-step guide to applying the Kelly Criterion on Kalshi — America's regulated prediction market. Learn how to size your positions correctly, avoid over-betting, and maximize long-run growth.

April 12, 2026 · 10 min read

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StrategyBeginnersStrategyGuide

Best Prediction Market Strategies for Beginners (2026 Guide)

New to Polymarket or Kalshi? Learn beginner prediction-market frameworks for reading odds, evaluating edge, managing risk, and tracking decisions.

April 12, 2026 · 11 min read

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SportsWorld CupSportsKelly

World Cup 2026 Knockout Stage — Who's Mispriced in the Prediction Markets

The math changes in knockout rounds — binary Kelly now applies. Guide to World Cup 2026 Round of 16 mispricing patterns, bracket path correlation, and the 12-24h arbitrage window.

April 13, 2026 · 9 min read

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CryptoBitcoinCryptoGuide

Bitcoin Prediction Markets — How to Trade BTC on Polymarket

Analyze Bitcoin prediction markets using EV calculation and Kelly Criterion. Complete guide with sizing examples and market-gap analysis.

April 13, 2026 · 10 min read

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SportsF1SportsKelly

F1 2026 Championship Prediction Markets — Mid-Season Kelly Strategy

How to trade F1 championship prediction markets mid-season using the Kelly Criterion. With $97M in Polymarket volume, F1 offers regular repricing opportunities after every Grand Prix.

April 13, 2026 · 9 min read

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SportsNBASportsKelly

NBA Finals 2026 Prediction Markets — Kelly Criterion for Championship Trading

How to trade the 2026 NBA Championship market on Polymarket. Path-dependent Kelly sizing, conference finals mispricing, and how to find edge in a $252M market.

April 13, 2026 · 12 min read

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SportsNBASportsKelly

NBA Finals 2026 Prediction Market Strategy — Kelly Criterion for Playoff Betting

How to use the Kelly Criterion to size NBA Finals prediction market positions. Live Polymarket odds analysis, when to bet before vs. after games, and bankroll strategy for best-of-7 series.

April 13, 2026 · 10 min read

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SportsEPLUCLPortfolio Math

Arsenal's EPL + UCL Double: Prediction Market Math for Correlated Positions

Arsenal lead both the EPL ($316M) and UCL ($235M) markets. Why you can't treat them as independent bets — and how to size correlated positions correctly with the Portfolio Tracker.

April 13, 2026 · 10 min read

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SportsEurovisionEntertainment MarketsEV

Eurovision 2026 Prediction Market Guide — Is Finland at 38% Right?

Finland is at 38% in the $82M Eurovision market. We break down the EV math, Kelly sizing for Finland vs. Australia vs. France, and why entertainment markets are consistently underexploited.

April 13, 2026 · 9 min read

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SportsSoccerUCLArbitrage

Champions League Final 2026 — Trading the Biggest Single-Game Prediction Market in Europe

How to analyze UCL Final prediction-market prices. Arsenal at 26%, $234M in volume, and cross-platform pricing gaps in the European soccer calendar.

April 13, 2026 · 10 min read

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ElectionsElectionPoliticalStrategy

The 2028 Presidential Election Megacluster — LeBron James, MrBeast, and Where the Real Edge Is

Polymarket has $1.034 billion in 2028 Democratic primary volume. Novelty candidates can distort prices around serious contenders. Here's the Kelly math and research frame.

April 13, 2026 · 12 min read

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