From: ph@netcom.com (Peter Hendrickson)
Date: Mon, 18 Apr 94 17:45:51 PDT
To: collins@newton.apple.com
Subject: Re: 15 out of 16 times...
In-Reply-To: <9404182130.AA19221@newton.apple.com>
Message-ID: <199404190046.RAA17586@mail.netcom.com>
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> This is described by a correlary of the law of large numbers wherein
> (quoting from Weaver, emphasis his):

>  By making the number _N_ of trials large
>  enough, you can make as near unity (certainty)
>  as you desire the probability that the actual
>  number _m_ of successes will _deviate from_ the ex-
>  pected number _np_ _by as much as you please_.

> Note that, effectively, this law applies _before_ the one that lets you win
> an expected number of trials.  This is why the person with the greater
> bankroll can win even in the face of sub-optimal 'odds'; why Las Vegas
> still exists; why gamblers still go broke; and why they go broke quicker
> with the doubling system.

Actually, the casinos win in Las Vegas because the odds of almost
every bet are in their favor.  (Occasionally some blackjack bets are
good for the customer.  I believe that's the only exception.)

Larger capital allows you to affect the distribution of winnings, but
not whether or not the underlying bet is a good one.  Employment of
this strategy means most outcomes will be slightly positive with a
small chance of a loss.  The loss will be large.

Every casino, in effect, takes on the whole world.  As all the bets
are independent, it doesn't matter if they are played by one player or
by a new player every time.  The world has much more capital.  Yet the
casinos consistently win.

> If it is not a question of probability, i.e., both parties _know_ the
> commodity will perform in a particular way... then this does not apply. 
> However, to the extent that they are uncertain --- it does (in spades).

There is a way in which the futures markets can be used for quietly
and inexpensively transferring money, even if you can't predict future
prices.

Let's say a second payment channel exists.  However, it is expensive
in terms of cost, privacy, or hassle.  It also has the property that
the cost of transferring $10,000 is the same as transferring $100,000.

Most of the time, when you play the futures markets you can get some
amount of money to transfer.  Once in awhile it doesn't work, so you
use the second, expensive, payment channel.

Peter