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RE: Looking for a good Bidbot mathematician
I think it's reasonable to average this out or provide a lower bound. If you look at the bots, you actually see that 1.5 multiplier is fairly common. Even if you set the multiplier to 1.3 or something you would get something useful. As @tarazkp mentions, it's not likely to matter too much. My preliminary calculations along this route are showing similar results to what is claimed in the post. But I'm double-checking things... Also I rather expect this state of affairs since the distribution of SP is concentrated towards bid bots and whales. But I will be claiming that bid bots spread out votes, so that'll be interesting to see if I can get data for that.... I think it would be instructive to see the distribution of payments as well.
One issue I thought of is that the whales didn't always use 100% of their vote each day. So by delegating the voting power this voting weight is now used each day, every day. This alone changes the entire distribution of the voting pool.
Just an example I know someone right now that hasn't been on in over a month with over 10k SP. This SP sitting idle helps the rest of the reward pool vs if this SP was delegated to a bot.
Hmm. That's an interesting thought. Seems like this person is missing out :P
You are right. I'd say
Idle > bot delegation > self vote
In terms of freeing the reward pool for others. Of course this is probably not something we can count on.
How much made on bot delegation. Hmmm... Oh dear, it's quite similar to a self vote after all. (They get half the amount at worst case, best case they can pick up an extra 25% from curation... Even more if the bid rounds are over filled).
Ouch. I need to re evaluate my life.