Self defence against hopping? WTF?
Firstly: I don't hop, I will never hop (coz it doesn't change anything), small non-PPS pools should like hoppers (especially if the hoppers would not be present otherwise)
In PPS if the share value is fixed, then hopping makes no difference at all - just find the pool with the highest PPS value
CAN ANYONE give me a mathematical proof that hopping is any of the following:
1) Bad for a pool that pays out blocks based on share%
2) Advantageous for a hopper in these pools
I can think of no statistical proof at all.
The only mathematical side effect that I can think of is the effect it has on the standard deviation of the pools block finding rate.
But this is obvious:
When the Gh/s rate of a pool is low (e.g. under 100Gh/s) the standard deviation is higher ... and it is not linear.
As the Gh/s drops the probability of failing to find a block in a given time increases more than linearly i.e. when the hoppers leave.
As the Gh/s increases the probability of failing to find a block in a given time decreases more than linearly i.e. when the hoppers arive.
(e.g. check my calculator on that subject in my sig:
http://tradebtc.net/bitprob.php )
Everyone who I have asked says "oh it is" - but cannot prove it (coz it is false)
The first step to understanding why people say it is, but it isn't, is to understand this wikipedia page:
http://en.wikipedia.org/wiki/Gambler%27s_fallacyNow unless someone can apply the Monty Hall Problem to hopping, I cannot even see it as anything but a fallacy.
I would place it under the heading of an attempt at taking control of something for which there is actually no control - and that makes people feel better thinking they have control over something rather than being at the whim of statistics