SimpleFunctions

Concepts — Framework, Indicators, Theory

The conceptual stack behind every prediction-market call SimpleFunctions makes. Each page is a hand-written long-form explanation of one piece of the framework.

Frameworks

Indicators

Theory

THEORY11 min read

From Actuarial Brier Scores to Prediction Market Category Calibration

Brier scores were invented for weather forecasting and adopted by actuaries. The math ports directly. The interesting question is calibration by cate…

brier-scoreactuarialcalibrationbridge
THEORY12 min read

From Horse Racing Overround to Prediction Market Vig

Sports betting has priced overround for two centuries. The math ports to prediction markets directly. The venue economics do not, and the difference …

horse-racingoverroundsports-bettingbridge
THEORY12 min read

From ADR Arbitrage to Cross-Venue Prediction Markets

American Depositary Receipts trade in two markets simultaneously and converge via arbitrage. The same outcome on Kalshi and Polymarket is the predict…

adr-arbitragecross-venuearbitragebridge
THEORY12 min read

From Sports Betting CLV to Prediction Market Trade Quality

Closing Line Value is the gold standard for sharp sports bettors. PMs do not have a closing line in the same sense. Here is the PM-native equivalent …

clvsports-bettingtrade-qualitybridge
THEORY13 min read

From Black-Scholes to Binary Markets: What Options Theory Gives You and What It Doesn’t

Risk-neutral pricing ports cleanly. The vol surface does not. Delta hedging is trivially-yes; gamma trading is meaningless. Here is the line-by-line …

black-scholesoptionstheorybridge
THEORY12 min read

From Options Skew to Multi-Strike Prediction Market Events

Options have a vol smile because OTM puts get bid by hedgers. Multi-strike prediction-market events have a structural skew because tail outcomes get …

options-skewmulti-strikevolatility-smilebridge
THEORY11 min read

Why "Prediction Market Index Funds" Are Mathematically Dubious

Index funds work in equity because constituents share macro exposures and have stable market caps. Binary prediction-market contracts have neither. A…

negationindex-fundportfolio-constructiontheory
THEORY10 min read

Why Parimutuel Intuition Fails on Order-Book Prediction Markets

Horse racing pools dilute payouts as more bets stack on a winner. Kalshi and Polymarket continuous limit order books do not. The payoff is a fixed do…

negationparimutuelclobsports-betting
THEORY10 min read

Why a "DCF" of a Prediction Market Is Mathematically Incoherent

A discounted cash flow model needs multiple cash flows and a discount rate that compensates the holder for bearing those flows over time. A binary pr…

negationdcfvaluationfixed-income
THEORY11 min read

Why Beta-to-S&P Doesn't Make Sense for Prediction Markets

Beta requires a continuous return distribution and a meaningful market portfolio. Prediction markets have neither. The few correlations that exist th…

negationbetarisk-decompositioncausal-tree
THEORY12 min read

Why Greek Letters Mostly Don't Port: Delta, Gamma, Vega, and Binary Contracts

Options have a Greek apparatus because the underlying is a continuous price process. Binary prediction-market contracts have no underlying spot. Of t…

negationoptionsgreekstheory
THEORY11 min read

Why P/E Ratios Don't Port to Prediction Markets — and What Does

Equity P/E rests on an unbounded earnings stream and a continuous price. Binary prediction-market contracts have neither. The right analog is yield-t…

negationpe-ratiovaluationfixed-income
THEORY14 min read

Prediction Market Valuation Theory: A Capstone

The funnel, the indicator stack, the three-source axis, and null-as-signal — synthesized into one theory of how to value a binary contract. The marke…

capstonetheoryvaluationframework
THEORY11 min read

Endogenous vs Reality vs Opinion Data: The Three-Source Axis

A thesis built on one data source is brittle. A thesis built on three is defensible. The three-source axis is the framework for keeping yourself hone…

three-source-axisdata-strategythesistheory
THEORY12 min read

τ-days: The Continuous Time Unit Underneath Every Indicator

Calendar days to resolution, expressed as a float, drives every other indicator in the stack. The unit looks trivial. Getting it wrong corrupts every…

tau-daystime-to-resolutionindicator-primitivetheory

Methodology

METHODOLOGY11 min read

The Prediction Market "Narrative Beta": When News Cycles Move Multiple Markets at Once

Some prediction markets are narratively correlated even when their underlying outcomes are independent. Every "AI" market moves together when OpenAI …

narrative-betacorrelationnews-cyclesmethodology
METHODOLOGY11 min read

Catalyst-Driven Spread Compression: Reading the Tape Before News

Before any scheduled catalyst — Fed announcement, jobs report, election night — the spreads on the relevant prediction markets compress in a predicta…

microstructurespreadscatalystsfed
METHODOLOGY12 min read

Resolution Ambiguity Score: Quantifying Rule-Risk Per Market

Every prediction market has a measurable "ambiguity score" based on how many edge cases the rule mentions, the venue history of disputes on similar m…

resolution-riskrule-riskmethodologyuma
METHODOLOGY11 min read

Steam Moves Across Venues: When Sharp Money Hits Both Books at Once

Sports bettors have a name for the simultaneous coordinated movement of two books that signals real money: steam. Prediction markets have steam too, …

steamcross-venuesharp-moneykalshi
METHODOLOGY11 min read

Adverse Selection on Prediction Markets: Why Your Counterparty Knows Something You Don't

The fundamental market-maker problem in one sentence: the people who hit your bid know more than you. PMs have specific adverse-selection patterns by…

adverse-selectionmarket-makingmethodologymm
METHODOLOGY10 min read

Pin Risk in Binary Settlements: When 0.50 Becomes 0.00 or 1.00

A binary contract sitting at 50¢ at the moment of resolution settles to either $1.00 or $0.00 with no gradient in between. That snap is real dollar r…

pin-risksettlementmethodologyrisk-management
METHODOLOGY10 min read

Resolution Risk Premium: Pricing the Rule, Not the Outcome

When the resolution rule is fuzzy, the displayed market price is not the probability of the outcome — it is the market's best guess at how the rule w…

resolutionrule-riskmethodologyuma
METHODOLOGY11 min read

Maker / Taker Regime in Prediction Markets: How to Read the Orderbook State

Every binary market is in one of three regime states at any moment: maker-dominated, taker-dominated, or neutral. The state changes which side of the…

maker-takerorderbookregimemethodology
METHODOLOGY11 min read

Hazard Rate Anomalies in Temporal Series: When the Yield Curve Lies

Cycle-clustered prediction markets form a hazard-rate curve over time. Sometimes the curve has anomalies that violate basic monotonicity. Those anoma…

hazard-rateyield-curvearbitragecycle-clustering
METHODOLOGY10 min read

The Vig Wall: Why Multi-Outcome Events Have a Hard Overround Floor

On a multi-outcome prediction-market event, the sum of YES prices across all outcomes is almost always greater than 1.0 by 2-4 cents. That floor is s…

vig-wallevent-overroundmulti-outcomemethodology
METHODOLOGY10 min read

Liquidity Migration Across Resolution: Where the Money Goes When a Market Closes

When a high-volume prediction market resolves, the capital that was in it has to go somewhere. The migration patterns are predictable enough that the…

liquidity-migrationcapital-flowcycle-clusteringmethodology
METHODOLOGY11 min read

Cross-Venue Convergence Dynamics: Why Kalshi and Polymarket Converge — and When They Don't

The same outcome on Kalshi and Polymarket usually trades within 2-5 cents of itself. When the gap widens past that, one of three specific things has …

cross-venuearbitragekalshipolymarket
METHODOLOGY10 min read

New Market Price Formation: The First 24 Hours of a Listed Contract

When a binary contract first lists, the price is wild. Spreads are 10+ cents wide, depth is in the single digits, and the displayed mid swings 20-40 …

new-listingsprice-formationdiscoverymethodology
METHODOLOGY10 min read

Reflexivity Loops in Election Markets: When Price → Consensus → Price

Soros named it. Election markets live it. The implied probability becomes the news, the news shapes new positioning, the new positioning shapes the p…

phenomenareflexivityelection-marketssoros
METHODOLOGY11 min read

The Settlement Halo: Microstructure Changes in the Final 24 Hours

Every binary contract goes through the same predictable shift in the 24 hours before resolution. Spreads compress, volume spikes, makers withdraw, re…

phenomenamicrostructuresettlementorderbook
METHODOLOGY10 min read

Tail-of-Day Pin Risk: Why Daily-Settled Contracts Move at 3:55 PM ET

Daily-settled price-target binaries see a violent shift in the final 30 minutes of the trading day. Makers cannot hedge a binary that is pinning to {…

phenomenapin-riskmaker-strategydaily-settled
METHODOLOGY10 min read

The Longshot Bias in Modern Prediction Markets — 80 Years of Evidence in One Number

Pari-mutuel horse racing has had a documented longshot bias since the 1940s. Polymarket and Kalshi have a measurable version too, and the direction i…

phenomenalongshot-biascalibrationmethodology
METHODOLOGY9 min read

Information Latency: How Fast Do Prediction Markets React to News?

A new piece of information drops at time T. The price reflects it at T + Δ. Δ is your edge window. Three real episodes — Fed decision, geopolitical s…

phenomenainformation-latencynewsedge-window
METHODOLOGY11 min read

Why "Thesis Confidence" Is Not the Same as Market Price

A 70% subjective conviction about an outcome and a 70-cent market price are not the same number. The market price is the capital-weighted aggregate o…

negationthesiswisdom-of-crowdsmethodology
METHODOLOGY10 min read

Null Is a Signal, Not a Defect: Reading Missing Data on Prediction Markets

When LAS is null, when EE is null, when PIV is near zero — the absence of data is sometimes the entry condition. Four null patterns and the four make…

null-as-signalmethodologymaker-strategiesdata-quality