来自《耶鲁大学开放课程：金融理论 第4集 第4集》

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  so this is for all I--X^(i), let's put the i's on the top.
  这是对于所有的X^(i) 我们在这上面加上i
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  If and only if everybody's better off: W^(i) (X^(i)-hat,
  如果而且仅仅如果所有人的更优收益W^(i) (X^(i)-hat
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  If and only if everybody's better off: W^(i) (X^(i)-hat,
  如果而且仅仅如果所有人的更优收益W^(i) (X^(i)-hat
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  Y^(i)-hat) is bigger than W^(i)(X^(i), Y^(i)).
  Y^(i)-hat大于W^(i)(X^(i), Y^(i))
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  Y^(i)-hat) is bigger than W^(i)(X^(i), Y^(i)).
  Y^(i)-hat大于W^(i)(X^(i), Y^(i))
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  So we started with an allocation, the E allocation
  那么我们从E这个分配点开始
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  So we started with an allocation, the E allocation
  那么我们从E这个分配点开始
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  here, and then we moved to competitive equilibrium here and
  然后移动到竞争均衡点
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  here, and then we moved to competitive equilibrium here and
  然后移动到竞争均衡点
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  everybody was better off.
  所有人的收益是更优的
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  everybody was better off.
  所有人的收益是更优的
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  So the equilibrium allocation Pareto dominates the initial
  因此均衡点分配Pareto优于