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Subject: Re: Getting GMs to play their best against computers

Author: José Carlos

Date: 16:21:00 03/29/02

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On March 29, 2002 at 12:41:09, Uri Blass wrote:

>On March 29, 2002 at 12:13:41, Roy Eassa wrote:
>
>>
>>A theory on this topic:
>>
>>The GM should get a small fixed stipend just for playing, plus $0 for each loss,
>>$x for each draw as White (where x is very small and perhaps 0), $y for each
>>draw as Black (where y is still pretty small, but larger than x), and $z for
>>each win (where z is much greater than y).  Finally, a BIG bonus for winning the
>>match overall seems to make sense.
>>
>>That would seem to be real incentive to play his (or her) best every game.
>>
>>(Feel free to substitute pounds, Euros, whatever!)
>>
>>
>>Another (better?) approach is to reward only the final score.  Besides a small
>>fee for showing up and playing, a GM score of 25% or less is no money, 100% is
>>BIG money, and the payments are distributed logically between these two extremes
>>(but the payoff for doing well should increase faster than linearly, IMHO).
>
>If the target is to encourage the GM to do the best then I think that payoff
>that increase linearly is a good idea.
>
>If the payoff increase faster than linearly then the GM may take unnecessary
>risks.
>
>The GM may prefer a strategy that give her(him) 30% chances to win and 40%
>chances to lose in the game and not 10% chances to win and 10% chances to lose
>that is more logical.
>
>Uri

  I disagree, because the same that you (correctly) apply to winning, applies
also to losing. I'll explain: let's suppose that the money increases
superlinearly with points. Then, for:

0, 0.5, 1, 1.5, 2

points the money is:

0, 50, 150, 300, 500.

  Now, the GM has 1 point. With a loss he gets 150, 300 for draw and 500 for
win. He sees he can easily draw. Your point is that he'll take innecessary risk
to get the 500 but he can also think "if I win the game I get 200 more but if I
lose I get 150 less". So he'll probably pick the draw if he thinks going for the
win is too risky.
  That's what I think, so I agree with the idea of the original poster.

  José C.



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