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Plugging Pascogammon Into XG

Posted By: Sean Garber
Date: Tuesday, 10 May 2016, at 1:32 a.m.

In Response To: Another easy win for me (Stick)

I had an idea for plugging game 2 into XG. If Player 'A' wins 1 point in the first game, then for game 2, set up XG so Player 'A' plays the game with a 1-0 lead in a 2 point match, Crawford. If Player 'A' wins 2 points in game 1, then in game 2, set up XG so Player 'A' starts the game holding a 32 cube with a 64-0 lead in a 65 point match. If Player 'A' wins a bg in game 1, then in game 2 Player 'A' starts out holding a 32 cube in a 97 point match with a 96-0 lead. This should work in theory. If the first game ends in a gammon or bg, though, XG will call every error a truly huge error in game 2.

In game 1, start with the player playing the backgame holding the cube. If at some point in the game the backgame player becomes the favorite, click on XG's "Setup" button, then click on "Switch Cube Position". The underdog should always be holding the cube in game one to minimize XG taking the cube into consideration when judging the correct checker play.

In game 1, match equity wise, gammons are probably worth more than 2 and backgammons are probably worth more than 3. There is probably some way to at least approximate the correct equity by plugging game one into XG with a certain match length, score, and cube value. As of right now, I'm just not motivated enough to figure out that one. Perhaps sometime in the future if no one beats me to it.

A perfect system doesn't seem to be possible, but one can get very close doing this game-by-game. One can also plug specific Pascogammon positions into XG and come up with answers that you can basically trust.

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