polyAether
Textbook · Chapter 2
Chapter 2

Prediction markets, from scratch

~6 min read

Before we can talk about weather, or bots, or edge, we need one idea: a place where you can buy and sell a bet on whether something will happen. That place is a prediction market, and once you see how it works, a surprising amount falls into place.

01 — The simplest possible contract

Imagine a slip of paper. Printed on it is a single sentence: "It will rain in Chicago tomorrow." The slip has one magical property. If it does rain in Chicago tomorrow, whoever holds the slip can trade it in for exactly one dollar. If it does not rain, the slip is worth nothing — zero dollars. It turns to dust.

That slip of paper is a contract — just a promise, written down, about a future outcome. In a prediction market, this is the only kind of thing being bought and sold. Every contract pays $1 if the outcome happens and $0 if it does not. There is no in-between. The event either occurs or it doesn't, and the slip is worth either a full dollar or nothing.

We call the thing being predicted the outcome, and the moment we find out the truth — did it rain or not? — is called settlement (the market "settles" the contract by paying out the winners). We'll spend a whole later chapter on settlement, because it turns out to be trickier than it sounds. For now, just picture the slip: one dollar if right, nothing if wrong.

Key idea

A prediction-market contract is a bet in the shape of a coupon: it pays $1 if a specific outcome happens, and $0 if it doesn't. That's the entire product.

02 — What would you pay for the slip?

Here's the interesting question. Before we know whether it rains, how much is that slip worth right now? What would a sensible person pay for it?

Let's make it clean with a coin flip instead of weather, so the answer is obvious. Suppose the slip says "the next coin flip lands heads." A fair coin lands heads half the time. So the slip pays you $1 half the time and $0 half the time. On average, over many flips, it's worth 50 cents.

If someone offered to sell you that slip for 30 cents, you'd jump at it — you'd be paying 30 cents for something worth 50 cents on average. If they wanted 70 cents, you'd refuse, and you might even want to be the seller. The number that feels exactly fair, where neither buying nor selling is obviously smart, is 50 cents. That fair number is the price.

Prices in these markets are usually quoted in cents from 0 to 100 — which is the same as saying the price runs from $0.00 to $1.00, the two possible payouts. A price of 50 cents means the market thinks the outcome is a coin flip. A price of 5 cents means the market thinks it's very unlikely. A price of 95 cents means the market thinks it's nearly certain.

Key idea

Because a contract pays either $1 or $0, its fair price in cents is exactly the chance the outcome happens, expressed as a percentage. 60 cents means "about 60% likely." The price is a probability wearing a dollar sign.

Why the price becomes the crowd's probability

You might ask: sure, I think it's 50 cents, but why would the actual market price land there? Because of everyone else. A market is a crowd of people all free to buy and sell. Suppose the coin-flip slip is trading at 40 cents. Lots of people notice it's worth 50 on average, so they buy — and buying pushes the price up (more demand, higher price, just like concert tickets). It keeps rising until it reaches 50, where the easy profit disappears and the buying stops.

If instead it were trading at 60 cents, people would sell it (or bet against it), pushing the price down to 50. The price gets shoved from both sides until it settles at the point where the crowd, on balance, sees no free money. That balance point is the crowd's collective best guess at the probability. Nobody votes on it; it emerges from thousands of buy and sell decisions, each made by someone with money on the line.

This is the quiet magic of prediction markets. The price is not an opinion poll and not an expert's decree. It's a number that people are literally betting their own cash to move, which tends to make it honest. If you think the price is wrong, you don't argue — you buy or sell, and your money nudges the price toward what you believe.

03 — A worked example

Let's walk one all the way through, with a weather flavor since that's polyAether's world. A market asks: "Will the high temperature in Miami tomorrow be above 90°F?" The contract pays $1 if the high tops 90, and $0 if it doesn't. Right now it's trading at 70 cents.

1
Read the price as a probability
70 cents means the crowd thinks there's roughly a 70% chance Miami's high beats 90°F tomorrow.
2
Decide if you disagree
Say you have good reason to think it's actually more like 85% likely. In your eyes the slip is worth about 85 cents, but you can buy it for 70. That gap is your opportunity.
3
Buy the contract
You buy one slip for 70 cents. If Miami's high beats 90°F, you get $1 back — a 30-cent profit. If it doesn't, you get $0 and lose your 70 cents.
4
Wait for settlement
Tomorrow the official high comes in. The market checks it, pays $1 to every "above 90" slip, and $0 to the rest. Done.

Notice that you can be right about the temperature and still, on a single bet, lose money — if this particular day happens to stay at 89°F. That's fine and expected. The point isn't to win every bet; it's to buy slips for less than they're truly worth, over and over, so that the wins outweigh the losses in the long run. We'll make that precise in Chapter 4 when we talk about calibration and edge.

Key idea

You make money in a prediction market by finding contracts whose price is wrong — priced at 70 cents when the true chance is 85% — and taking the cheaper side. The whole game is spotting a better probability than the crowd, and betting the difference.

04 — Where this is heading

So a prediction market gives us two gifts. First, it hands us the crowd's probability for free, printed right there as a price. Second, it lets us profit whenever we can beat that probability with a better one of our own.

That raises the obvious question: where would a better probability come from? For polyAether, the answer is weather. Weather is one of the few things in the world that science can forecast with real, measurable skill — yet the crowd, as we'll see, tends to misprice it in a specific and repeatable way. The next chapter builds the weather half of the story from scratch, exactly as we just built the market half.

If you want to see how these two halves click together into an actual trading system, that picture lives in Chapter 1. Here, the takeaway is smaller and sturdier: a market price is a probability, and a wrong price is an opportunity.