On venues like Polymarket, anyone can trade on tomorrow's high temperature in a city. Each degree band — say 89–90 °F — is its own contract that pays $1 if that band contains the day's official high and $0 if it does not. A full market is a row of these contracts covering every plausible outcome, and their prices, read together, are the crowd's probability distribution over tomorrow's weather.
It helps to see why a price is a probability here. A contract that pays exactly $1 when an outcome happens and $0 otherwise is worth, to a rational buyer, precisely the chance of that outcome. If the 89–90 band trades at 30 cents, the market is collectively saying "there's about a 30% chance the day's high lands in that band." Line up all the bands in a market and their prices should add to roughly one dollar — because exactly one band will contain the true high. So the row of prices is not a metaphor for the crowd's belief; it is the crowd's belief, written in cents. That is what makes these markets legible to a model: we can compute our own number for each band and hold it directly against the market's number.
Here is the quiet flaw in that distribution. The people trading these markets are, for the most part, casually uncertain. They know weather is hard to predict, so they hedge their bets — and they hedge too much. They spread their money across too many outcomes, buying the unlikely tails "just in case." The result is a market that systematically overprices unlikely outcomes and underprices the likely middle. It charges too much for the surprises and too little for the boring, probable answer.
The behavioral reason is familiar to anyone who has watched people bet. Being wrong on the boring middle feels like a small, forgettable loss; being caught flat-footed by a surprise feels like a large, memorable one. So people overweight the surprise. Across a whole market of such traders, that individual instinct becomes a structural shape: a distribution that is too flat and too fat in the tails. It is not that any one trader is irrational — it is that a crowd of mildly cautious people, added together, produces a curve that is measurably wider than the weather itself.
Independent research on comparable temperature markets finds the market's implied uncertainty runs roughly 1.3× the true forecast error. The crowd behaves as if tomorrow is about a third more uncertain than the science actually says it is.
That 1.3× number is the whole thesis in a single figure. It means a genuinely well-calibrated forecaster — one whose stated probabilities match reality over the long run — can price each outcome more accurately than the crowd, and quietly trade the difference. We are not betting that we know tomorrow's weather better than the national weather service. We are betting that we can turn the same public science into sharper probabilities than a market of over-cautious humans does.
What does "1.3×" actually mean in feet on the ground? Suppose the true day-ahead uncertainty in a city's high is about ±2 °F — that is roughly how far reality tends to land from a good forecast a day out. A market pricing at 1.3× uncertainty behaves as if that spread were closer to ±2.6 °F. That extra six-tenths of a degree of imagined wobble does not sound like much, but it is exactly what pulls probability out of the likely center bands and sprinkles it onto the tails. Our job is not to shrink the real uncertainty — we cannot — but to price against the true ±2, while the crowd prices against an inflated ±2.6. The gap between those two curves is the whole opportunity.
An intuitive example
Imagine the forecast for a city tomorrow points clearly at a high of about 91 °F, with the normal day-ahead wobble of a degree or two. A calibrated model might say the 91–92 band is worth about 38 cents on the dollar — a 38% chance. But the market, nervous about being wrong, has spread its money out: it prices that same band at only 30 cents, and pads the far-off ≤86 and ≥97 tails with money they don't deserve.
Buying the 91–92 band at 30 cents when it is genuinely worth 38 is not a prediction that we will win this particular day. We might not — weather is weather. It is a purchase of a favorable price. Do it once and it's a coin flip with a good edge. Do it across hundreds of independent city-days, and the 8-cent gap between price and value is what shows up in the results.