Re: temperature and games

[Bruno Bouzy <Bruno.Bouzy@xxxxxxxxxxxxxxxxxxxxxxxx>]

Yes, of course I know thermographs :-))

My question was assuming that, in Go, the sub-games that you may define
are *very* dependant from each other. Therefore, it should be
nice to define a kind of "temperature" that would be useful for
dependant games and that would be the analogous of the temperature 
for independant games.

This new "temperature" would be still 1 in the exemple below when e=0
(and still positive when -1<e<0). This "temperature" should be continuous.
You should use it in order to generate a threat on the
given sub-game in order to gain something else in another dependant sub-game.

Bruno

A 10:53 08/06/99 +0900, vous avez écrit :
>>From: Bruno Bouzy <Bruno.Bouzy@xxxxxxxxxxxxxxxxx>
>
>>Let G(e) = { {2|e} | {-e|-2} } with 0<e<2
>>temperature of G(e) is T(G(e)) = 1+e/2
>>when e -> 0, T(G(e)) -> 1
>>but G(0) = 0 and T(G(0)) = 0
>>I feel this discontinuity just curious.
>>Any comments ?
>>
>
>In normal go language, this is a double sente play at low temperatures. The
>difference between left stop and right stop is 2e. Temperature measures the
>size of the threat rather than that difference. However, when e is zero
>there is no threat at all, so t jumps to zero. You can experiment with
>changing 2,-2 to higher values x. Then the temperature increases to x/2+e/2.
>
>If you know how to draw thermographs, you can see directly what's going on.
>
>	Martin
>
>
>
>
>
--------------------------------------------------------------
	Bruno Bouzy
	C.R.I.P.5 - UFR de mathematiques et d'informatique
	Universite Rene Descartes (Paris V) 
	45, rue des Saints-Peres 75270 Paris Cedex 06 FRANCE
	tel: (33) (0)1 44 55 35 58 fax: (33) (0)1 44 55 35 35
	e-mail: bouzy@xxxxxxxxxxxxxxxxx 
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