# π§Race Example

### Example Scenario

Let's consider a forecasting event where the entry fee is \$5 per participant and we have 5 participants (A, B, C, D, and E) in total. This means we collect a total of \$25 in entry fees.

Now let's break down how this total entry fee would be distributed:

• 5% goes to the Cracers platform as a rental fee: 0.05 * \$25 = \$1.25

• 5% goes to the best score of the event: 0.05 * \$25 = \$1.25

• For this example, set royalties (x) are 0%, so nothing is deducted for this.

So, after these deductions, we have a reward pool of \$22.50 (\$25 - \$1.25 - \$1.25).

Now, we distribute this reward pool using the inverted Score-based Reward system:

ParticipantScoreInverse ScoreProportion of Total InverseReward

A

20

(1/20)=0.05

(0.05/0.125)=0.4

(0.4*22.50)=\$9.00

B

25

0.04

0.32

\$7.20

C

50

0.02

0.16

\$3.60

D

100

0.01

0.08

\$1.80

E

200

0.005

0.04

\$0.90

Total

-

0.125

1.00

\$22.50

As seen in the table, Participant A who has the lowest score (closest forecast), receives the highest reward, while Participant E with the highest score (furthest forecast), gets the smallest reward. This system ensures a fair and attractive reward distribution among participants, focusing on the accuracy of their forecasts.

Also, Participant A, who has the closest forecast, would be considered the winner of the event and thus receive an additional reward of \$1.25 (5% of the total entry fee). This means Participant A's total earnings would be \$9.00 (from the reward pool) + \$1.25 (winner's reward) = \$10.25

This comprehensive and fair system of entry fee distribution and reward calculation ensures a transparent, engaging, and rewarding experience for all participants!

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