fordscks wrote:
I remember reading Bob had a PhD in econ or something -- perhaps he > needs to rehit the books. I listed 3 of Bob's flawed arugments ...
Why is it that in their zeal to point out just how unknowledgable Dancer is, there are a few around here who waste no time in showing just how much they personally don't understand??
1) The marginal utility of an extra $1 is FAR LESS than the
marginal utility of LOSING $84 -- to be technical it was an extra
93 cents since you offset the 7 cents versus the marginal dollar
from rounding up.
Because the casino rounds jackpots up to the nearest dollar, it sounds like the alternative outcomes were a win of $485 for immediately taking the win, $486 if successful in waiting 14 bank hands before taking the win, or $401 if the wait proved unsuccessful.
If successful, the net gain was $1. If unsuccessful, the net loss was $84.
When it comes to calculation of "marginal utility", outcome values are weighted by probability of the outcome. When calculated appropriately, one finds the net marginal utility of going for the extra $1 definitely is a positive proposition vs cashing out immediately.
2) Dancer forgot the seminal Jazbo argument ("Progressive Meter
Movement") for any progressives, which is unless you CAN LOCK UP
THE progressive, you should not include the meter movement in your
EV calculation.
That discussion had nothing to do with including the current meter values when calculating play EV. If you read carefully, you'll see that it has to do with also adding something extra for the continued meter progression during your play.
But I grasp you have a hard time understanding why there would be a distinction between the two.
3) Dancer forgot the golden rule of economics, i.e. the law of
opportunity costs. What was Dancer's opportunity cost from not
playing at an 100% opportunity for those hands -- this argument is
SEPARATE from (2). Should he wait 10 minutes or 20 minutes or more
to chase another incremental $0.99 (i.e. the $1 that got rounded
up).
Get a new pair of reading glasses. Such an opportunity cost is precisely why he indicates he saw it reasonable to wait for the meter to advance $.07, but not another $5 or $10.
I won't suggest you go back and hit the books. I have little doubt that what you would take away (or, for that matter, what you take away from this post) has little to do with the actual content.