Score & Boost

This section covers:

• how xULAB becomes a Score, and

• how that Score determines your boosted effective amount new_a for rewards.

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Score

Score represents your share of the total xULAB pool.

Definitions:

• $\text{xULAB}_i$ : xULAB balance of user $i$

• $∑_j \text{xULAB}_j$ : total xULAB across all users

Score formula:

$$\text{Score}_i = \frac{\text{xULAB}_i}{\sum_j \text{xULAB}_j}$$

• Range: 0–1 (0%–100%)

• Interpretation: your percentage ownership of the Locker (xULAB system).

Example

• Your xULAB: $\text{xULAB}_i = 50$

• Total xULAB: $∑j​xULABj​=5,000$

$$\text{Score}_i = \frac{50}{5{,}000} = 0.01 = 1\%$$

Quick reference:

Concept	Description
xULABᵢ	Your ve-style balance from locked LP
ΣxULAB	Sum of xULAB from all users
Scoreᵢ	xULABᵢ ÷ ΣxULAB
High Scoreᵢ	Larger effect on boosts & flows

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Boost Multiplier (new_a)

The Boost Multiplier uses your Score to convert your raw position a into a boosted effective amount new_a.

This new_a is used to split ULAB emissions in that market.

Per market:

• $a$ : your liquidity in that market (USD)

  • e.g. your Supply amount

• $A$ : total liquidity of that market (USD)

  • sum of all users’ liquidity

• $\text{Score}$ : your Score from above

Boost formula:

$$\text{new\_a} = \min\Big( 3 \times a,\;\; a + (1.5 \times A \times \text{Score}) \Big)$$

• a = your original position

• 1.5 × A × Score = bonus amount from your share of the system and total market size

• 3 × a = hard cap (max 3× boost)

Example

Let:

• $a = 1{,}000$

• $A = 100{,}000$

• $\text{Score} = 0.01$ (1%)

1. Cap term:

$$3 \times a = 3 \times 1{,}000 = 3{,}000$$

1. Score term:

$$a + (1.5 \times A \times \text{Score}) = 1{,}000 + (1.5 \times 100{,}000 \times 0.01) = 1{,}000 + 1{,}500 = 2{,}500$$

1. Take minimum:

$$\text{new\_a} = \min(3{,}000,\; 2{,}500) = 2{,}500$$

→ effective 2.5× boost on your original a.

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From new_a to Rewards (Concept)

For each market:

• Total ULAB emissions for the epoch:

$$\text{Emissions}_{\text{market}}$$

• Sum all users’ new_a:

$$\sum_j \text{new\_a}_j$$

• User $i$’s reward:

$$\text{Reward}_i = \text{Emissions}_{\text{market}} \times \frac{\text{new\_a}_i}{\sum_j \text{new\_a}_j}$$

Chain of logic:

Lock ULAB LP → xULAB → Score → new_a → share of ULAB emissions

If you are not Emission Eligible (LockedLPValue < 3% × SupplyValue for that market), your effective reward is 0, regardless of Score or new_a.