⚖️ Weights

Overview

In the $SHIBALL ecosystem, weights are essential to ensure a balanced and fair distribution of rewards between staking and yield farming.

These weights dynamically adjust according to actual participation (A) versus target thresholds (T).

• ✅ If participation is too low → weights increase to encourage more activity.

• ❌ If participation is too high → weights decrease to limit over-concentration.

• ⚖️ If participation equals the target → weights remain stable.

This adaptive model ensures:

• Sustainable growth 🌱

• Continuous liquidity 💧

• A fair and efficient reward system ⚡

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📐 Formula for Staking Weights

$$\omega_{staking} = \begin{cases} \omega + M_{staking} \times \gamma_{staking} \times (T_{staking} - A_{staking})^{\delta}, & \text{if } A_{staking} < T_{staking} \\ \omega - M_{staking} \times \gamma_{staking} \times (A_{staking} - T_{staking})^{\delta}, & \text{if } A_{staking} > T_{staking} \\ \omega, & \text{if } A_{staking} = T_{staking} \end{cases}$$

📐 Formula for Yield Farming Weights

🔑 Variables

• ω → Base weight

• M → Multiplier factor

• γ → Sensitivity coefficient

• δ → Exponent factor (adjustment strength)

• T → Target participation (threshold)

• A → Actual participation