论文标题
关于大风在揭示的偏好理论中的贡献
On Gale's Contribution in Revealed Preference Theory
论文作者
论文摘要
我们调查了大风在1960年发表的重要论文。本文包含一个需求函数的候选人的示例，该候选人满足了揭示的偏好的弱公理，这令人怀疑，这是某些弱点的需求函数。我们研究了本文，并首先仔细检查了大风证明的内容。然后，我们确定了大风证据中的差距，并表明他未能证明需求功能的候选人不是需求功能。接下来，我们提出三个完整的大风主张证明。首先，我们构建了一个证据，该证明是在1960年构建的，盖尔本人证明了这一事实。其次，我们使用Shephard的引理构建了现代而简单的证明。第三，我们构建了一个遵循大风最初构想的方向的证据。我们的结论如下：尽管在1960年，大风无法证明他构建的需求功能的候选人不是需求功能，但他基本上证明了这一点，因此可以说，可以说找到满足弱公理的需求功能的候选者的信任是，并不是我们的需求函数，但不是一个需求功能，但不是归因于Gale。
We investigate Gale's important paper published in 1960. This paper contains an example of a candidate of the demand function that satisfies the weak axiom of revealed preference and that is doubtful that it is a demand function of some weak order. We examine this paper and first scrutinize what Gale proved. Then we identify a gap in Gale's proof and show that he failed to show that this candidate of the demand function is not a demand function. Next, we present three complete proofs of Gale's claim. First, we construct a proof that was constructible in 1960 by a fact that Gale himself demonstrated. Second, we construct a modern and simple proof using Shephard's lemma. Third, we construct a proof that follows the direction that Gale originally conceived. Our conclusion is as follows: although, in 1960, Gale was not able to prove that the candidate of the demand function that he constructed is not a demand function, he substantially proved it, and therefore it is fair to say that the credit for finding a candidate of the demand function that satisfies the weak axiom but is not a demand function is attributed to Gale.
