<p>We had a question on this site for  <a href="https://economics.stackexchange.com/questions/35/fundamental-equations-in-economics">Fundamental equations in economics</a>. What I'd like to know is what are the most important proofs needed in economics?</p>

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2017-04-13T16:35:53.190Z
I think a fundamental series of proofs are the separating hyperplane theorem, the supporting hyperplane theorem, and then using them (and fixed-pointe theorems) to prove the first and second welfare theorems. 

Also, proving the existence of equilibria.
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2017-04-13T17:57:13.250Z
How is this different from asking for the fundamental *theorems* in economics? Is the emphasis on *proofs* supposed to mean something, like conceptually sophisticated or technically challenging?
Herr K.
<mathematical-economics>
What are the fundamental economic proofs
EconJohn
# What are the fundamental economic proofs

(Asked by: username_0 on 2017-04-13)

We had a question on this site for [Fundamental equations in economics](https://economics.stackexchange.com/questions/35/fundamental-equations-in-economics). What I'd like to know is what are the most important proofs needed in economics?

**Tags:** mathematical-economics

> **Comments:**
> **username_1**: I think a fundamental series of proofs are the separating hyperplane theorem, the supporting hyperplane theorem, and then using them (and fixed-pointe theorems) to prove the first and second welfare theorems.   Also, proving the existence of equilibria.  
> **username_2**: How is this different from asking for the fundamental *theorems* in economics? Is the emphasis on *proofs* supposed to mean something, like conceptually sophisticated or technically challenging?  

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