期望效用函数存在定理是期望效用理论中最重要的定理。

The existence theorem of expected utility function was the most important conclusion in expected utility theory.

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该方法既克服了期望值-差法和夏普指数法的不足，又在一定程度上避免了效用函数构造的困难。

The new method has overcomed the shortcomings of the Expectation-Variance method and Sharpe's Index method, and avoids the inconvenience of constructing utility function to a certain extent as well.

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而且期望效用理论基于一组公理，从而保证效用函数的存在性和正线性变换意义下的唯一性。

And the expected utility theory is based on a set of axioms that assure the existence and uniqueness (up to a positive affine transformation) of utility for all real probability.

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而且期望效用理论基于一组公理，从而保证效用函数的存在性和正线性变换意义下的唯一性。

And the expected utility theory is based on a set of axioms that assure the existence and uniqueness (up to a positive affine transformation) of utility for all real probability.

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