Re: Optimal Backgammon (was: Re: Game Theory)

On Wed, 06 Jul 2005 09:47:35 -0500, David C. Ullrich
<ullrich@xxxxxxxxxxxxxxxx> wrote:

>[...]
>
>Whether that's interesting in one sense depends
>on whether using the Brower Fixed Point Theorem
>this way is commonplace in number theory.

Oops, of course that was a typo for "game theory".
Anyway, never mind, I finally looked up a little
bit of stuff, and this is of course not the first
application of BFT in game theory, for example it's
used in showing the existence of Nash equilibria.

>Whether it's interesting in another sense
>depends on whether always playing so as to
>maximize E gives you a non-negative expected
>value regardless of your opponent's play.
>(Or for that matter if you play always
>optimizing E does it follow that there _is_
>a well-defined expected value, given an
>opponent's strategy?)

But I'm still curious about this.

>>Keith Ramsay
>>
>>P.S. There was last month a piece in one of the usual math
>>journals about the notion of fair division in Aristotle and
>>in the Talmud. Pretty interesting.
>
>
>************************
>
>David C. Ullrich


************************

David C. Ullrich
.

Relevant Pages

  • Re: X to play 65
    ... David C. Ullrich wrote: ... Anyway, I don't think _anyone's_ opinion here is of much value, ... certain to play 1. ...
    (rec.games.backgammon)
  • Re: Construct-a-position problem
    ... because then the play doesn't matter. ... David C. Ullrich ... However, at DMP, I ...
    (rec.games.backgammon)
  • Re: My talk about Godel to the post-grads.
    ... David C. Ullrich wrote: ... I think you are stupid because you think that a term can play a role even though it plays no role. ... B is empty, or that x is an element of A and B can contain things ...
    (sci.logic)
  • Re: Interesting Position
    ... David C. Ullrich wrote: ... and gnubg agrees I did the right thing! ... Just play on. ...
    (rec.games.backgammon)
  • Re: ethical question
    ... David C. Ullrich wrote: ... > Multiple choice. ... > The rule requires the TD to say "play it out". ...
    (rec.games.backgammon)