来自《耶鲁大学开放课程：博弈论 第15集 第15集》

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  and it has three possible outcomes, a win, a loss, or a tie.
  它有三种可能的结果 胜利 落败 或者平局
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  So let's be careful, the reason it's finite is that
  我们再严谨一点 它是有限的原因是
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  if you cycle--I forget what it is--three times then
  如果你们循环了 我忘了是几次
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  the game is declared a draw, declared a tie.
  好像是三次 博弈就宣告平局 和局
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  So what's this theorem telling us? It's telling us that
  那这个理论告诉我们什么
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  there is a way to solve chess. Chess has a solution.
  它告诉我们国际象棋是有解的
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  We don't know what that solution is.
  我们不知道解是什么
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  It could be that solution is that Player 1,
  解可能是一号参与人
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  who's the player with the white pieces can force a win.
  行白子的时候能取胜
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  It could be that Player 1 can only force a tie,
  解可能是一号参与人只能取得平局
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  and it could even be that Player 2 can force a win.
  甚至可能是二号参与人能取胜
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  We don't know which it is, but there is a solution.
  我们不知道是哪个 但它是有解的