From: Thomas Voegtlin <thomasv@electrum•org>
To: bitcoin-development@lists•sourceforge.net
Subject: Re: [Bitcoin-development] Proposed alternatives to the 20MB step function
Date: Sun, 10 May 2015 23:48:39 +0200 [thread overview]
Message-ID: <554FD237.2020009@electrum.org> (raw)
In-Reply-To: <CAOG=w-szbLgc1jLpkE_uMa3bkFTi-RiBEaQ6Y-u5aKLBC2HvUg@mail.gmail.com>
Le 08/05/2015 22:33, Mark Friedenbach a écrit :
> * For each block, the miner is allowed to select a different difficulty
> (nBits) within a certain range, e.g. +/- 25% of the expected difficulty,
> and this miner-selected difficulty is used for the proof of work check. In
> addition to adjusting the hashcash target, selecting a different difficulty
> also raises or lowers the maximum block size for that block by a function
> of the difference in difficulty. So increasing the difficulty of the block
> by an additional 25% raises the block limit for that block from 100% of the
> current limit to 125%, and lowering the difficulty by 10% would also lower
> the maximum block size for that block from 100% to 90% of the current
> limit. For simplicity I will assume a linear identity transform as the
> function, but a quadratic or other function with compounding marginal cost
> may be preferred.
>
Sorry but I fail to see how a linear identity transform between block
size and difficulty would work.
The miner's reward for finding a block is the sum of subsidy and fees:
R = S + F
The probability that the miner will find a block over a time interval is
inversely proportional to the difficulty D:
P = K / D
where K is a constant that depends on the miner's hashrate. The expected
reward of the miner is:
E = P * R
Consider that the miner chooses a new difficulty:
D' = D(1 + x).
With a linear identity transform between block size and difficulty, the
miner will be allowed to collect fees from a block of size: S'=S(1+x)
In the best case, collected will be proportional to block size:
F' = F(1+x)
Thus we get:
E' = P' * R' = K/(D(1+x)) * (S + F(1+x))
E' = E - x/(1+x) * S * K / D
So with this linear identity transform, increasing block size never
increases the miners gain. As long as the subsidy exists, the best
strategy for miners is to reduce block size (i.e. to choose x<0).
next prev parent reply other threads:[~2015-05-10 22:02 UTC|newest]
Thread overview: 69+ messages / expand[flat|nested] mbox.gz Atom feed top
2015-05-08 7:20 Matt Whitlock
2015-05-08 10:15 ` Mike Hearn
2015-05-08 10:30 ` Clément Elbaz
2015-05-08 12:32 ` Joel Joonatan Kaartinen
2015-05-08 12:48 ` Matt Whitlock
2015-05-08 13:24 ` Matt Whitlock
2015-05-08 12:48 ` Gavin Andresen
2015-05-08 16:51 ` Peter Todd
2015-05-08 22:36 ` Joel Joonatan Kaartinen
2015-05-09 18:30 ` Peter Todd
2015-05-08 15:57 ` Alex Mizrahi
2015-05-08 16:55 ` Bryan Bishop
2015-05-08 20:33 ` Mark Friedenbach
2015-05-08 22:43 ` Aaron Voisine
2015-05-08 22:45 ` Mark Friedenbach
2015-05-08 23:15 ` Aaron Voisine
2015-05-08 23:58 ` Mark Friedenbach
2015-05-09 3:36 ` Gregory Maxwell
2015-05-09 11:58 ` Gavin Andresen
2015-05-09 13:49 ` Tier Nolan
2015-05-10 17:36 ` Owen Gunden
2015-05-10 18:10 ` Mark Friedenbach
2015-05-10 21:21 ` Gavin Andresen
2015-05-10 21:33 ` Gregory Maxwell
2015-05-10 21:56 ` Rob Golding
2015-05-13 10:43 ` Tier Nolan
2015-05-16 0:22 ` Rusty Russell
2015-05-16 11:09 ` Tier Nolan
2015-05-18 1:42 ` Rusty Russell
2015-05-19 8:59 ` Tier Nolan
2015-05-10 21:48 ` Thomas Voegtlin [this message]
2015-05-10 22:31 ` Mark Friedenbach
2015-05-10 23:11 ` Thomas Voegtlin
2015-05-28 15:53 ` Gavin Andresen
2015-05-28 17:05 ` Mike Hearn
2015-05-28 17:19 ` Gavin Andresen
2015-05-28 17:34 ` Mike Hearn
2015-05-28 18:23 ` Gavin Andresen
2015-05-29 11:26 ` Mike Hearn
2015-05-29 11:42 ` Tier Nolan
2015-05-29 11:57 ` Mike Hearn
2015-05-29 12:39 ` Gavin Andresen
2015-05-29 14:00 ` insecurity
2015-05-29 14:15 ` Braun Brelin
2015-05-29 14:09 ` Tier Nolan
2015-05-29 14:20 ` Gavin Andresen
2015-05-29 14:22 ` Mike Hearn
2015-05-29 14:21 ` Mike Hearn
2015-05-29 14:22 ` Tier Nolan
2015-05-29 16:39 ` [Bitcoin-development] Proposed alternatives to the 20MB stepfunction Raystonn .
2015-05-29 18:28 ` Tier Nolan
2015-05-29 17:53 ` [Bitcoin-development] Proposed alternatives to the 20MB step function Admin Istrator
2015-05-30 9:03 ` Aaron Voisine
2015-06-01 11:30 ` Ricardo Filipe
2015-06-01 11:46 ` Marcel Jamin
2015-05-29 18:47 ` Bryan Cheng
2015-05-30 1:36 ` Cameron Garnham
2015-05-28 17:39 ` [Bitcoin-development] Proposed alternatives to the 20MB stepfunction Raystonn .
2015-05-28 17:59 ` Pieter Wuille
2015-05-28 18:21 ` Gavin Andresen
2015-05-28 17:50 ` [Bitcoin-development] Proposed alternatives to the 20MB step function Peter Todd
2015-05-28 17:14 ` Thomas Voegtlin
2015-05-28 17:34 ` Pieter Wuille
2015-05-29 17:45 ` Aaron Voisine
2015-05-08 14:57 Steven Pine
2015-05-09 0:13 Raystonn
[not found] <CAAjy6kDdB8uODpPcmS8h4eap8fke7Y2y773NHJZja8tB5mPk4Q@mail.gmail.com>
2015-05-28 16:30 ` Steven Pine
[not found] ` <CABsx9T03aNRC5DRbR06nNtsiBdJAcQsGAHvbCOe3pnuRpdvq5w@mail.gmail.com>
2015-05-28 18:25 ` Steven Pine
2015-05-28 18:31 ` Gavin Andresen
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