How it works
Two moves and your full belief is on-chain. Here's the flow.
1. Pick a market
Browse open markets. Each one asks a numerical question with a deadline:
- What will SOL be on July 1, 2026?
- What share of the popular vote will candidate X receive?
- What will the highest GPT-5 score be on the new benchmark?
Every market on Dekant is a continuous range; you bet on a number, not a category. See Markets for how range and bin count are picked.
2. Draw your belief
For a continuous market, you set two numbers and the UI does the rest:
| Parameter | What it means | Effect |
|---|---|---|
| Center (μ) | Where you think the answer lands | Shifts the peak of your curve along the x-axis |
| Conviction (σ) | How sure you are | Narrow σ = sharp peak; wide σ = flat blanket |
Your stake is then split across the range, with more going into bins near your peak and less into the tails. Sharp belief = high reward in a small window. Hedged belief = lower reward but covers more ground.
The deeper write-up is in Drawing your curve.
3. Get paid by closeness
When the deadline passes, an oracle resolves the market with the actual answer. That answer lands in exactly one bin, and the tokens you hold for that bin redeem for collateral.
Because your stake was distributed across many bins, you get something whenever the answer lands anywhere on your curve. The closer the answer lands to your peak, the more you earn. The further out, the less.
That's the full mental model. The next pages dig into each piece in turn.
If you'd rather see the math directly, the math docs at math.dekant.xyz cover the L₂-norm AMM, the closed-form trade equations, the LP economics, and the solvency theorem.