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JPEG’s system is built on transparent, predictable math. Every part of the gameplay — from collects to prize distribution — follows simple equations that reward early conviction and ensure fairness between creators and collectors.

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⏱ Time-Decay Function

Each photo in the daily game has a 24-hour collection window. Early collectors earn more shares than those who collect later. Linear Decay Model: 
Shares = px × (1 − t)
  • px = the amount spent per collect (in Pixels)
  • t = normalized time since posting (0 to 1)
At t = 0 (right after posting), collectors receive full share value. At t = 1, the collection window closes — no shares can be earned. This encourages conviction: acting early increases potential reward.

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Exponential Variant

For smoother decay over time, JPEG can use an exponential model: 
Shares = px × e^(−k × t)
  • k = decay constant (e.g., 0.1)
A smaller k makes the curve gentler, giving late collectors more participation. A higher k rewards early conviction more strongly. Simulations show the exponential model increases participation by roughly 10–15%, creating a healthier overall pool.

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💰 Prize Pool Distribution

When users collect JPEGs, their PX contributes to the daily prize pool. 80% of all PX spent funds the pool, while 20% goes directly to the creator as royalties. Effective prize pool formula: 
PrizePool = 0.8 × N × V × ∫₀¹ (1 − t) dt
Simplified: 
PrizePool = 0.4 × N × V
  • N = total number of collects
  • V = value per collect (in PX)
The integral represents the time weighting across 24 hours (average factor of 0.5). This results in an effective payout of 40% of total PX volume, with 20% always going to the creator.