Celebrating 11 years in backgammon games

Uneven Matches

by Douglas Zare
1 September 2005


Douglas Zare

If you simply play well, you will win a lot. Bots do this. To have the most success, you should be willing to make theoretical mistakes in order to provoke larger errors from your opponents, particularly when you have a significant skill advantage.

When I played on GameSite 2000 (now GammonSite) from 2000-2001, I usually had the highest rating of any human player on the server by over 100 rating points. This is explained primarily by the lack of competition, but my rating sometimes exceeded that of the Snowie bots. I wasn't nearly as strong as Snowie at that time, but I was better than Snowie at exploiting the mistakes of the weaker human players, particularly in matches of 3-7 points. Part of my advantage came from studying how aggressive or cautious to be with the doubling cube at each match score against weaker opponents
 

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2.
Subject: Re: Uneven Matches
From: zare
Date: 08 Sep 2005 19:41 EST

In general, weaker players should apply the modifications in the opposite direction.

Although it was a technical mistake to double immediately at 2-away 4-away, it is not nearly as large of a mistake as you might expect. Against an equal opponent, doubling immediately converts the score to Crawford 2-away, and the trailer wins only about 1% less at Crawford 2-away. Against a stronger opponent, many players would be better off doubling immediately at 2-away 4-away, since they tend to make large mistakes by forgetting to double later. Of course, you might do better still to consider the cube carefully at each opportunity, but your double was not a large error.

Douglas Zare

4.
Subject: Re: Uneven Matches
From: zare
Date: 21 Sep 2005 08:12 EST

Sorry, I don't remember that match. Nevertheless, if you feel you are a weaker player, you should be happy to take a more aggressively at 5-away 5-away.

Consider the entries in table C for the scores we might reach. A skill advantage applies most to 4-away 5-away and 5-away 4-away, and least to Crawford game. There isn't enough of an opportunity for a skill advantage to change the outcome of a very lopsided match. If you are a weaker player, it is more valuable to reach these scores than it is normally.

Another thing to consider is the position. It can be hard to blitz correctly, while it is easy to dance correctly. (On the other hand, most blitzes fail, and then it may be harder to counterattack properly than to play the failed blitz.) Players who are normally weaker may have a skill advantage when getting blitzed, though this depends on the position and players. That also argues for taking.

It's important to remember to redouble aggressively at 5- away 5-away. Not only is the take point higher than normal, but there is much more skill left in the match at 3-away 5-away than in the Crawford game.

Douglas Zare

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Celebrating 11 years in backgammon games