LRBF - Locked RBF

Types of LRBF Tokens in Robots.Farm

In the Robots.Farm ecosystem, there are locked RBF tokens referred to as LRBF. These tokens have an unlocking mechanism that allows them to be gradually introduced into circulation, promoting stability and sustainability in the tokenomics. There are two types of LRBF tokens in Robots.Farm:

• Locked Airdrop Tokens: LRBF earned by users before the TGE, during a period when quest payments were made with points, hence called the Airdrop period. Users who participated in the airdrop received their tokens in the form of LRBF post-TGE (Token Generation Event). These LRBF tokens are subject to a 12-month vesting period, but there is also an option to accelerate the unlocking process by burning these tokens.

• LRBF Earned Post-TGE: These tokens are acquired from chests and various in-game activities. They are also subject to vesting, with no set unlock time. A special game is being developed to expedite the unlocking process, which will be launched soon. Stay tuned for updates.

Locked RBF

The "Locked RBF" indicator combines the two types of locked tokens, showing the total balance of these tokens that the user has. This total number does not appear in your wallet because the wallet does not display "Locked Airdrop Tokens". These tokens are burned and added to your balance as RBF when they are unlocked.

Locked Airdrop Tokens

This section displays your Airdrop tokens:

• Claim: The number of tokens available for claiming.

• Locked Airdrop RBF: The number of locked tokens.

• Boost Unlock: The current unlock rate and your boost.

Tokens Ready to Unlock

This section shows the details of tokens that are ready for unlocking:

• Available for Claim: The number of RBF tokens that can be claimed.

• Total Locked: The total amount of LRBF tokens still locked.

• Current Unlock Rate: The rate at which tokens are being unlocked per day.

To claim the available tokens, click the "Claim" button.

Boost Tokens Ready to Unlock

Unlock your tokens using special items called Boosts. These boosts allow you to speed up the LRBF token unlocking process.

Key Points:

• Temporary Effect: Boosts have a limited duration (Duration) during which they accelerate the unlocking of tokens.

• Unlocking Power: The power of a boost is determined by its Power Level and depends on the player's current balance and any remaining boost (if present). There are a total of 30 boost levels. The Power Level translates into a boost multiplier that increases your weight in the pool relative to other players and remains active for the entire duration of the boost.

• Acquiring Boosts: Boosts can be obtained by opening Crates. Each Crate contains one boost of a random level. The level of the boost is determined by the level of the Crate itself.

• Using Boosts: Boosts are destroyed (burned) upon use.

• Boost Multiplier: The boost multiplier increases your weight in the pool relative to other players, similar to how staking rewards or airdrop boosts work, and is active for the entire duration of the boost.

Explanation of Boosts:

The formula:

Parameters:

• ( b ): A nonlinear function that converts the boost power into a boost multiplier.

• ( p(b_0) ): A function that determines the influence of the initial boost ( b_0 ) on the overall result.

• ( d_0 ): The initial duration of the boost.

• ( p_i ): A function that defines the influence of each subsequent boost.

• ( d_i ): The duration of each subsequent boost.

• ( \sum_{i=1}^{N} p_i \cdot d_i ): The sum of all boost values multiplied by their respective durations.

• ( \max_{0 \leq i \leq N}(d_i) ): The maximum duration among all boosts.

How This Formula Works:

1. Non-linearity: The formula represents a non-linear model, meaning that increasing the boost's strength results in diminishing returns. For example:

   • If you have two boosts with a strength of 1, the sum will be ( 1+1=2 ).

   • If you have two boosts with a strength of 10, the sum will be less than 20, for instance, ( 10+10=18 ).

   • If you have two boosts with a strength of 50, the sum will be even lower, for example, ( 50+50=65 ).

2. Summation with diminishing returns: The closer your boost gets to the maximum allowed value, the smaller the result of adding additional boosts. This creates non-linear growth, where each additional unit of boost strength contributes less to the overall result.

3. Optimization: This model encourages players to use boosts strategically, as maximizing boost strength doesn’t always lead to a linear increase in efficiency.

Practical Example:

Suppose you have an initial boost with a duration ( d_0 ) and the strength of this boost is 10. If you add another boost with the same strength and duration, you will not get a doubling of the effect (as would be the case in a linear system). Instead, the result will be lower, for example, 18 instead of the expected 20.

Boost Airdrop Unlock

Boosting your airdrop unlock allows you to exchange locked airdrop tokens for an accelerated unlock rate.

Key Points:

• Never Expires: Boosts never expire.

• Variable Unlock Speed: Unlock speed changes based on the boosts used by other players over time.

Cost of Boost:

• Dynamic Pricing: The cost depends on the number of your tokens. Each subsequent boost costs less than the previous one.

• Strategic Decisions: Dynamic pricing encourages strategic decisions to optimize your unlock rate.

• Boost Modal Window: View current boost costs here:

Boost Price Formation:

• Initial Boost Cost: The cost for the first boost is set at a base rate, which is the highest cost in the sequence.

• Subsequent Boosts: For each additional boost, the cost decreases by a fixed percentage. This decrease is applied sequentially, making each boost progressively cheaper.

Formula Explanation:

• Let C0​ be the cost of the initial boost.

• Let r be the reduction rate (e.g., 5%).

• The cost of the n-th boost, Cn, can be calculated using the formula:

  
• For example, if the initial boost cost 𝐶0 is 100 tokens and the reduction rate r is 5%, then the cost of the second boost would be:

• The cost of the third boost would be:

Example Calculation: Suppose your initial boost cost is 100 tokens, and the reduction rate is 5%. The costs for the first few boosts would be as follows:

• First Boost: 100 tokens

• Second Boost: 95 tokens

• Third Boost: 90.25 tokens

• Fourth Boost: 85.74 tokens

Understanding Boost Price Formation

To understand the boost price formation, let's look at these tables. The formula used to calculate the airdrop until June 10, 2024, was:

Starting from June 11, 2024, the formula changed to:

Explanation of Formulas:

1. Old Formula (until June 10, 2024):

   • The cost of tokens burned for boosts was determined using a cube root function, making boosts relatively cheaper.

2. New Formula (from June 11, 2024):

   • The new formula uses a square root function, which increases the cost of boosts, making each boost more expensive than under the old formula.

Adjustments for Previous Boosts:

After the price increase on June 11, 2024, if you attempt a new boost, the cost will include the difference for all previous boosts. For example:

• Under the old model, the cost for a 10x boost was 55%.

• Under the new model, the cost for a 10x boost is 68%.

If you have a 9x boost and boost to 10x, you will need to pay the difference of 13% of the total number of airdrop tokens.

By understanding these formulas and the adjustments, you can see how the cost structure for boosts has evolved, encouraging more strategic decision-making.