title, author, date
| title | author | date |
|---|---|---|
| darkfi lottery simulation | ertosns | 11/1/2023 |
simulate darkfi consensus lottery with a discrete controller
discrete pid controller.
control lottery f tunning paramter
f[k] = f[k-1] + K_1e[k] + K_2e[k-1] + K_3e[k-2]
with k_1 = k_p + K_i + K_d, k_2 = -K_p -2K_d, k_3 = K_d, and e is the error function.
simulation criterion
find K_p, k_i, K_d for highest accuracy running the simulation on N trials, of random number of nodes, starting with random airdrop (that all sum to total network stake), running for random runing time.
notice that best parameters are spread out in the search space, picking the highest of which, and running the simulation, running for 600 slots, result in with >36% accuracy
comparing range of target values between
notice below that both y,T in the pallas field, and simulation have same range.
conclusion
using discrete controller the lottery accuracy > 33% with randomized number of nodes, and randomized relative stake. can be coupled with khonsu1 to achieve 100% accuracy and instant finality.
usage
Replace example.csv with local distribution data. Edit config.py as follows:
vesting_file = 'your_local_data.csv'
Edit config.py to define the exchange rate and simulation running time, measured in slots.
Then run the program:
python vesting.py