Farkas引理的证明及其应用

Lemma of Farkas and its application to Economics

使用泛函分析中的凸集分离定理给出了 Farkas引理的一个证明 。

Lemma of Farkas is a famous theory in mathematics.It has some important effect in optimal policy and economics.There are many methods to prove it.The article gives a kind of method by a theory of seperated convex set in functional analysis;at the same time,the article also explains its application in economics by some examples.