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Subject: rating questions that may be interesting to investigate

Author: Uri Blass

Date: 03:03:47 03/03/02


suppose you have the following 1000 programs:

program A0:play random moves with probability of 100%
program A1:does a search of 3 plies to choose the move in 0.1% of the cases
and plays a random move in the rest of the cases

program A2:does a search of 3 plies to choose the move in 0.2% of the cases
and plays a random move in the rest of the cases

...


program A999 does a search of 3 plies to choose the move in 99.9% of the cases
and plays a random move in the rest of the cases.

programA1000 does a 3 ply search in every move.

Questions:
1)suppose you play 1000 matches of 1000 games between programs
Ai and Ai+1(i=0...999) and suppose the rating of A0 is 0.

suppose that you caluclate for every i rating based on the performance

What is going to be the expected rating of program A1000?

2)Suppose you play 1000 games between program Ai and Ai+2(i=0,2,4...998)
and suppose the rating of program A0 is 0

What is going to be the expected rating of program A1000 based on similiar
calculations?
In which case the expected that the rating is going to be higher?

Uri



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