Senior Reward Calculation Rules

Including Empty-Layer Handling

When the n-th tip occurs:

• Payment amount: X_N

• Time: t_N

The system processes it as follows:

Fund Split

• Creator income: Creator_N = 0.2 × X_N

• Total senior reward pool: Pool_N = 0.8 × X_N

Split into four layers:

Pool_N,1 = 0.4 × X_N

Pool_N,2 = 0.3 × X_N

Pool_N,3 = 0.2 × X_N

Pool_N,4 = 0.1 × X_N

Determining the Four Senior Sets by Time

Based on time differences, we determine four sets of seniors from historical tips:

• L₁ (≤ 1 day) S_N,1 = { i | i < N, 0 < t_N − t_i ≤ 1 day }

• L₂ (1–7 days) S_N,2 = { i | i < N, 1 < t_N − t_i ≤ 7 days }

• L₃ (8–30 days) S_N,3 = { i | i < N, 7 < t_N − t_i ≤ 30 days }

• L₄ (31–365 days) S_N,4 = { i | i < N, 30 < t_N − t_i ≤ 365 days }

Proportional Distribution Within Each Layer

For each layer k ∈ {1,2,3,4}:

• Total historical payment in that layer: H_N,k = Σ (Xⱼ), for all j ∈ S_N,k

• If the layer is not empty, senior i receives: Reward_i,N,k = Pool_N,k × (X_i / H_N,k)

• Total reward for senior i from this n-th tip is: Reward_i,N = Σ Reward_i,N,k

Missing Layer Handling Rules

To keep the system simple, closed-loop, and waste-free:

• If one layer is empty:

  • Its share is merged into the nearest layer that has seniors.

  • Example case: if the empty layer is L2, its share goes to L1.

• If three layers are empty:

  • All rewards go to the remaining layer.

• If all four layers are empty (i.e., no one has tipped in the past 365 days):

  • The entire 80% goes to the creator.

  • This effectively starts a new cycle: this tip becomes the first tip of a new reward era for this content.

This ensures:

• No rewards are left hanging;

• No systemic “reward debt” accumulates;

• The mechanism is self-consistent at all times.