Quote:
Originally Posted by MikeStarr
If they are playing 1/3 and average $20/hr which is good but not earth shattering, then they will average $100 per 5 hour session. Of course they might lose today, but over time they will win $100 per 5 hour session. If they play 100 hours this month, they will win $2000 and I will get $1000 for doing absolutely nothing except risking my money. I wouldnt stake them with 1 buy in, but I could stake them with $3000 (10 buy ins) and on average I would make $1000 return on my $3000. That's a 33% return and as long as the player is a long term winner Im taking a lot less risk than any other reasonable investment I could make with my $3K.
While I more or less agree with your overall point, the math in this paragraph is atrocious.
Imagine an unfair coin where you're twice as likely to flip heads than tails. If you stake someone taking 50% of their winnings and 100% of your losses, your EV is actually 0.
Just because they expect to win $20/hr in the long run doesn't mean you expect to win $10/hr in the long run as a staker. It's less, and the shorter the time period you're staking them, the more less it is (and potentially negative!) because of variance.
If you stake them for a 100 hour block, their SD is 600-800 bb for that block (sqrt(100)*hourlySD), with a winrate of 500-1000 bb (100*hourlyWR). That means there's a 1-sigma (15-20%) probability they don't win over that time (and you eat their entire loss). That has to be subtracted from your EV.
Just as you can calculate a Certainty Equivalent for their play, you can calculate CE for your stake. I think it's called alpha in the investing world but the concept is similar - risk adjusted earnings. It's lower than ROR and even with a horse with a huge skill edge, I think you're going to have a tough time beating traditional investing benchmarks unless you offer them a very stingy deal or commit to a long contract.