Battle Pass Prize Pool Split Calculator
Allocate a fixed prize pool across winning ranks with a top-prize share and geometric payout decay. The calculator derives each lower rank from the previous payout, then normalizes the schedule so every award adds up to the available pool. It shows the normalized first prize, minimum winning prize, and concentration among the top three places—useful for testing whether an event feels top-heavy or broadly rewarding. For this battle pass payout, review the resulting rank spread before publishing rules; display rounding may require a final-cent adjustment.
Calculator inputs
Results
Enter your assumptions and select Calculate.
How to use this calculator
- Enter values from the same game, cohort, event, or forecast period.
- Check that percentages and monetary values use consistent definitions.
- Select Calculate to update every result.
- Review the interpretation and test at least one alternative scenario.
Formula
Initial rank 1 = pool × target share. Each next rank = previous rank × (1 − decay). All rank amounts are then multiplied by one normalization factor so their sum equals the total pool.
Input and result guide
| Prize pool | Total amount available |
|---|---|
| Paid ranks | Number of winners receiving an award |
| Top share | Starting weight assigned to first place |
| Decay | Percentage reduction in weight by rank |
What the result means
The main result summarizes the scenario implied by the inputs, while the supporting results expose scale, concentration, efficiency, or risk. These are planning estimates. They depend on the definitions and assumptions entered and should be compared with observed data before a product, economy, event, or infrastructure decision is finalized.
Example calculation
For a $10,000 pool, 10 winners, a 30% first-prize target, and 20% decay, normalization produces a $2,240.58 first prize and a $300.72 tenth prize. The top three awards total about 54.67% of the pool, and all ten awards sum to $10,000.
Practical tips
- Use measured cohort, economy, or load-test data whenever it is available.
- Change one assumption at a time to see which input drives the result.
- Keep units and time periods consistent across every field.
- Save a conservative and an optimistic scenario instead of relying on one forecast.
- For this battle pass payout, review the resulting rank spread before publishing rules; display rounding may require a final-cent adjustment.
Frequently asked questions
Why can normalized first prize differ from the target share?
The target creates the initial first-rank weight. Normalizing all geometric weights to the pool can change its final percentage.
What does payout decay per rank mean?
A 20% decay means each rank starts with 80% of the preceding rank’s payout weight.
Does the calculator allocate the entire prize pool?
Yes. Before display rounding, the normalized rank awards sum exactly to the entered total pool.
Can equal prizes be modeled?
Yes. Set payout decay to 0%; every paid rank then receives the same normalized award.
Are taxes or platform fees deducted?
No. Enter a net distributable pool if fees, withholding, or taxes must be removed before awarding prizes.