Bob Dancer wrote:
Looking for a guaranteed win is not intelligent gambling.
What we're speaking about here is taking insurance --- and the cost
of insurance premiums. $800 is not a lot of money. Spending a
premium of $30 or so to turn a "maybe $800 and maybe $0" decision
into a guaranteed $275 is far too high in my opinion. The edge the
best players have when gambling is small. Giving up such large
premiums for "guarantees" is more than enough to eliminate any
possible edge.
Some idle comments (which some may wish to pass on, since it deals in
hypotheticals simply to examine alternate cases):
I earlier said a hedge may be rational given the bettor's risk
preference. But it should be qualified to say that it would only be
rational for a bettor who's entered into a wager initially on a weak
assessment of their risk preference to begin with ... in other words,
we likely wouldn't be talking about an astute gambler.
A sharp gambler would be aware of the potential win/loss scenarios
that might develop down the road and only enter into the wager if
he/she were satisfied that it represented an acceptable risk scenario.
If not, then the odds on the original wager make it an unsuitable bet.
But, let's say that in the interim between the original bet and the
present time solid circumstances have altered the gambler's risk
preference. We're talking about extreme circumstances -- say, the
bettor desperately needs $300 to make a mortgage payment to prevent
foreclosure. It might now be rational for that bettor to sacrifice
some EV in order to reduce the risk to their adjusted tolerance.
But Bob's point is solid -- hedging (or insuring) a risk which you can
solidly bear is never advisable. It's like having a $250 deductible
on your homeowners policy when you have $100K in liquid assets -- the
low deductible has a premium which is irrationally high.
- Harry