[net.ai] fuzzy poker

colonel@gloria.UUCP (George Sicherman) (10/06/84)

>                                                One son, after getting his
> statistics Ph.D. at 20 or so, claims to have draw poker figured out.
> Bluffing is dealt with by simple probability theory.  As I remember,
> "Winning Poker Systems" is one of those "just-memorize-the-equivalent-of-
> ten-phone-numbers-for-instant-riches" books.  He worked his way through school
> with funds won in Emeryville poker parlors.  Not too shabby, but not too
> fuzzy, either ...

When I was working with the SUNY-Buffalo POKER GROUP, we managed to
verify some of N. Zadeh's tables with hard statistics.  Anybody who's
interested can find some of our results in Bramer's anthology _Computer
Game-Playing: Theory and Practice_ (1983).
-- 
Col. G. L. Sicherman
...seismo!rochester!rocksanne!rocksvax!sunybcs!gloria!colonel

robison@eosp1.UUCP (Tobias D. Robison) (10/09/84)

I disagree that poker bluffing can be reduced to probability tables
unless one of the following is true:

	- There are limits on the betting such that you can always
	  decide before anteing whether you will have enough money
	  to stay in the pot to the end.
	- OR, you have an infinite amount of money.

In the more normal case that pots can get out of hand (especially when
there is no limit), you cannot usefully reduce bluffing to an
exercise in probability.  To put it simply, you cannot guarantee that
therer will be enough of the really large pots to get a statistically
signifigant break from the exercise of random alternatives.  If your
probability edge gives you a consistent advantage of 5 cents on every
$10 pot, but the evening also includes one $2,000 pot, your success
for the evening will really depend upon how you do in that one pot.
Under the circumstances, you will do better if you know how to read
other players, and can sometimes vary from making random decisions.

There are psychological advantages and disadvantages to be gained
from persuading the other players that you are bluffing based strictly
upon random probabilities.  I think you could make more money in the
long run if you didn't always convince people of this, but simply
reserved the potential, and and the procedure, as strategical weapons.

	- Toby Robison (not Robinson!)
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