A formula sets the price of PRDX, not the market. Backed by a TON reserve, it appreciates through built-in deflation.
Mint: deposit TON — get PRDX. Burn: return PRDX — reclaim your share of TON. Price = reserve / supply, computed by the smart contract itself: no exchanges, no spreads, no counterparties. Neither Mint nor Burn moves the price — it's a fair exchange, here and now.
The heart of the protocol — and the only operation that moves the price. Deposit PRDX and choose from 2 to 32 outcomes: one lands with a known probability, and the reward doubles at each level. More outcomes — wider spread: rarer but larger wins. On average 12.5% of the deposit is burned and lifts the PRDX price for everyone. Not PoW mining, but Bernoulli's paradox in action.
The paradox in action: Bob's risk becomes Alice's gain.
In 1738, Swiss mathematician Daniel Bernoulli formulated the St. Petersburg Paradox — a problem in probability theory that challenged classical notions of value and risk. He worked at the St. Petersburg Academy of Sciences from 1725 — where the ideas that reshaped economics were born.
The essence of the paradox: you flip a coin until tails appears. Tails on the first flip pays 2 coins, on the second — 4, on the third — 8, doubling exponentially. The expected winnings are infinite — yet no reasonable person would pay more than a modest sum to play. It's all about the spread: almost always the win is tiny, and only the rarest streaks pay out enormously. Bernoulli resolved the paradox with marginal utility: the real value of money depends on context and diminishes as wealth grows.
PARADOX reimagines this centuries-old idea as a working financial mechanism. Mine takes the finite version of the game and adds two linked constraints: a negative expected value of −12.5% and a single-win cap of 12.5% of supply. Here the meaning inverts: the systematic 'loss' that was a mere puzzle for Bernoulli becomes the engine — it burns tokens and lifts the PRDX price against TON for every holder. Risk stops being something to minimize and becomes a constructive force — hence the name.
PRDX's price follows a formula: reserve / supply. No exchanges, no speculation — just verifiable math.
Every PRDX is backed by TON in a smart contract. The reserve is visible on-chain at any time — no trust required.
Protocol logic lives in smart contracts and runs automatically — no hidden conditions, no manual intervention.
Each Mine operation burns part of the supply on average while the TON reserve stays — so the price rises by formula. Not a forecast, but how the protocol works.
Calmly hold PRDX and earn from deflation — or take part in Mine for a chance to multiply your deposit. Both strategies work and reinforce each other.
The risk of active participants turns into price growth for all. Some people's losses become others' passive income.
Value has a dual nature:
A probabilistic operation based on a finite adaptation of Bernoulli's St. Petersburg Paradox. You deposit PRDX and choose the number of outcomes (2–32): exactly one is realized with a predetermined probability, and the reward doubles at each level — capped at 12.5% of supply. The number of outcomes sets the spread: more outcomes — rarer but larger wins, at the same average return.
On average the operation takes 12.5% of the deposit: these tokens are burned, and the PRDX price rises for every holder.
The classic paradox has infinite expected value and unlimited payout — theoretically elegant, but economically unworkable. PARADOX introduces two key constraints:
This transforms a theoretical construct into a stable economic model.
👩 Conservative (Alice): long-term holding of PRDX — minimal risk, passive value growth from other participants' activity.
👨 Active (Bob): participating in Mine with the aim of multiplying tokens through transparent probabilistic mechanics.
The system benefits both and becomes more resilient with every new participant.
The model self-balances: deflation pushes the price up, and the Mine cap keeps any single operation from rocking the system.