i thought the reward block for monero will decrease smoothly for each block... but sometimes they just increase... can anyone explain in easy to understand reasons? ty
Monero's tail emission
I'd like to repost xulescu's summary on tail emission here (from Bitcointalk's Monero Economy)
Fattest tail to thinnest tail
- constant inflation block reward nonmonotonic: block reward decreases exponentially until tail starts, then increases exponentially total emission unbounded, with an inflection point: concave ("doesn't hold water") until tail starts, then convex ("holds water")
- inflation converges to zero from here below block reward: constant after tail starts total emission unbounded, linear after tail starts
- inflation converges to zero block reward: inverse linear decay, converges to zero total emission unbounded, logarithmic after tail starts
- inflation converges to zero block reward: inverse quadratic/cubic/... decay, converges to zero total emission finite from here below
- inflation converges to zero block reward: exponential decay, converges to zero total emission finite
I like constant tail emission(alternative 2), it will result in the amount available converging to a fixed value due to lost coins.
x'=C-sX where a is the how large part of the coins that get lost each year.
x=C/s-C/s*exp(-st).
One interesting alternative is Reward=a(b-X)³ where b=(2^64-1)/10^10, a=10^-25
This has the solution X=b-b/(2ab²N+1)^0.5 where N=blocknumber, this is suitable for a blocktime of 45 seconds. Reward=ab³/(2ab²N+1)^1.5
Alternative 1 and 5 obviously sucks where alternative 1 is similar to the current monetary system.