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Subject: Re: Mathematical question regarding chess

Author: José de Jesús García Ruvalcaba

Date: 02:12:35 08/02/01

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On August 01, 2001 at 14:05:18, Uri Blass wrote:

>
>Why?
>If the evaluation is a random number I see no reason for prefering moves that
>increase the mobility.
>
>If you assume that the program evaluates checkmates correctly then it s clear
>that it plays better than rabdom moves because it is going to never miss a
>simple forced mate so you do not need to use mobility.
>
>Uri

Hi Uri!
Make a simple model, a two-ply alpha-beta search with random evaluation of the
leaf nodes, independent and equally distributed (those are standard
assumptions).
It is very easy to prove that the move that the move that gives the opponent the
lower number of replies has a higher probability of being chosen.
For deeper searches it is more complicated, but the mobility principle still
holds.
José.



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